From 4a47bac817c2241ece5f03943f076300cd146bcb Mon Sep 17 00:00:00 2001 From: "Documenter.jl" Date: Mon, 6 May 2024 15:47:20 +0000 Subject: [PATCH] build based on 4cd8acf --- dev/assets/documenter.js | 331 ++++++ dev/assets/search.js | 267 +++++ dev/assets/themes/documenter-dark.css | 7 + dev/assets/themes/documenter-light.css | 9 + dev/assets/themeswap.js | 66 ++ dev/assets/warner.js | 49 + dev/examples/heat_equation_hypre.jl | 91 ++ dev/examples/heat_equation_hypre/index.html | 151 +++ dev/examples/heat_equation_pa.jl | 76 ++ dev/examples/heat_equation_pa/index.html | 123 ++ dev/index.html | 11 + dev/literate/heat_equation_hypre.jl | 167 +++ dev/literate/heat_equation_pa.jl | 156 +++ dev/reference/grid/index.html | 2 + dev/reference/interface/index.html | 2 + dev/reference/utils/index.html | 2 + dev/search/index.html | 2 + dev/search_index.js | 3 + dev/siteinfo.js | 1 + index.html | 2 + .../examples/heat_equation_hypre/index.html | 2 +- .../PR24/examples/heat_equation_pa/index.html | 2 +- previews/PR24/index.html | 2 +- previews/PR24/reference/grid/index.html | 2 +- previews/PR24/reference/interface/index.html | 2 +- previews/PR24/reference/utils/index.html | 2 +- previews/PR24/search/index.html | 2 +- previews/PR26/assets/documenter.js | 331 ++++++ previews/PR26/assets/search.js | 267 +++++ .../PR26/assets/themes/documenter-dark.css | 7 + .../PR26/assets/themes/documenter-light.css | 9 + previews/PR26/assets/themeswap.js | 66 ++ previews/PR26/assets/warner.js | 49 + previews/PR26/examples/heat_equation_hypre.jl | 91 ++ .../examples/heat_equation_hypre/index.html | 151 +++ previews/PR26/examples/heat_equation_pa.jl | 76 ++ .../PR26/examples/heat_equation_pa/index.html | 123 ++ previews/PR26/index.html | 11 + previews/PR26/literate/heat_equation_hypre.jl | 167 +++ previews/PR26/literate/heat_equation_pa.jl | 156 +++ previews/PR26/reference/grid/index.html | 2 + previews/PR26/reference/interface/index.html | 2 + previews/PR26/reference/utils/index.html | 2 + previews/PR26/search/index.html | 2 + previews/PR26/search_index.js | 3 + previews/PR26/siteinfo.js | 1 + previews/PR27/assets/documenter.js | 331 ++++++ previews/PR27/assets/search.js | 267 +++++ .../PR27/assets/themes/documenter-dark.css | 7 + .../PR27/assets/themes/documenter-light.css | 9 + previews/PR27/assets/themeswap.js | 66 ++ previews/PR27/assets/warner.js | 49 + previews/PR27/examples/heat_equation_hypre.jl | 91 ++ .../examples/heat_equation_hypre/index.html | 151 +++ previews/PR27/examples/heat_equation_pa.jl | 76 ++ .../PR27/examples/heat_equation_pa/index.html | 123 ++ previews/PR27/index.html | 11 + previews/PR27/literate/heat_equation_hypre.jl | 167 +++ previews/PR27/literate/heat_equation_pa.jl | 156 +++ previews/PR27/reference/grid/index.html | 2 + previews/PR27/reference/interface/index.html | 2 + previews/PR27/reference/utils/index.html | 2 + previews/PR27/search/index.html | 2 + previews/PR27/search_index.js | 3 + previews/PR27/siteinfo.js | 1 + previews/PR28/assets/documenter.js | 331 ++++++ previews/PR28/assets/search.js | 267 +++++ .../PR28/assets/themes/documenter-dark.css | 7 + .../PR28/assets/themes/documenter-light.css | 9 + previews/PR28/assets/themeswap.js | 66 ++ previews/PR28/assets/warner.js | 49 + previews/PR28/examples/heat_equation_hypre.jl | 91 ++ .../examples/heat_equation_hypre/index.html | 151 +++ previews/PR28/examples/heat_equation_pa.jl | 76 ++ .../PR28/examples/heat_equation_pa/index.html | 123 ++ previews/PR28/index.html | 11 + previews/PR28/literate/heat_equation_hypre.jl | 167 +++ previews/PR28/literate/heat_equation_pa.jl | 156 +++ previews/PR28/reference/grid/index.html | 2 + previews/PR28/reference/interface/index.html | 2 + previews/PR28/reference/utils/index.html | 2 + previews/PR28/search/index.html | 2 + previews/PR28/search_index.js | 3 + previews/PR28/siteinfo.js | 1 + previews/PR29/assets/documenter.js | 331 ++++++ previews/PR29/assets/search.js | 267 +++++ 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previews/PR30/assets/themeswap.js | 66 ++ previews/PR30/assets/warner.js | 49 + previews/PR30/examples/heat_equation_hypre.jl | 91 ++ .../examples/heat_equation_hypre/index.html | 151 +++ previews/PR30/examples/heat_equation_pa.jl | 76 ++ .../PR30/examples/heat_equation_pa/index.html | 123 ++ previews/PR30/index.html | 11 + previews/PR30/literate/heat_equation_hypre.jl | 167 +++ previews/PR30/literate/heat_equation_pa.jl | 156 +++ previews/PR30/reference/grid/index.html | 2 + previews/PR30/reference/interface/index.html | 2 + previews/PR30/reference/utils/index.html | 2 + previews/PR30/search/index.html | 2 + previews/PR30/search_index.js | 3 + previews/PR30/siteinfo.js | 1 + previews/PR39/.documenter-siteinfo.json | 1 + previews/PR39/assets/documenter.js | 1050 +++++++++++++++++ .../PR39/assets/themes/documenter-dark.css | 7 + .../PR39/assets/themes/documenter-light.css | 9 + previews/PR39/assets/themeswap.js | 84 ++ previews/PR39/assets/warner.js | 52 + 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'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-copy"); + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-times"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-times"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function() { + var settings = $('#documenter-settings'); + $('#documenter-settings-button').click(function(){ + settings.toggleClass('is-active'); + }); + // Close the dialog if X is clicked + $('#documenter-settings button.delete').click(function(){ + settings.removeClass('is-active'); + }); + // Close dialog if ESC is pressed + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function() { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button") + sidebar_button.click(function(ev) { + ev.preventDefault(); + sidebar.toggleClass('visible'); + if (sidebar.hasClass('visible')) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind('click', function(ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + }); +}) + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function() { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css('max-width'), 10); + var L0 = e.width(); + if(L0 > L) { + var h0 = parseInt(e.css('font-size'), 10); + e.css('font-size', L * h0 / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on('orientationchange', resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function() { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if(typeof(window.localStorage) !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if(theme !== null) { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = (e.value === theme); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); + DOC_VERSIONS.forEach(function(each) { + var version_url = documenterBaseURL + "/../" + each; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/dev/assets/search.js b/dev/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/dev/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { + +$(document).ready(function() { + // parseUri 1.2.2 + // (c) Steven Levithan + // MIT License + function parseUri (str) { + var o = parseUri.options, + m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + searchform = $('.docs-search'); + sidebar = $('.docs-sidebar'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
  • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + // Disable enter-key form submission for the searchbox on the search page + // and just re-run search rather than refresh the whole page. + searchform.keypress( + function(event){ + if (event.which == '13') { + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + update_search_box(); + event.preventDefault(); + } + } + ); + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/dev/assets/themes/documenter-dark.css b/dev/assets/themes/documenter-dark.css new file mode 100644 index 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html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark 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.button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a 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.button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#dde4e6}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content 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form.docs-search>input.button{border-radius:290486px;padding-left:1em;padding-right:1em}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:0.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){border-radius:3px;font-size:.85em}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons 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    Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +}; + +if (document.readyState === 'loading') { + document.addEventListener('DOMContentLoaded', maybeAddWarning); +} else { + maybeAddWarning(); +}; diff --git a/dev/examples/heat_equation_hypre.jl b/dev/examples/heat_equation_hypre.jl new file mode 100644 index 0000000..d44230a --- /dev/null +++ b/dev/examples/heat_equation_hypre.jl @@ -0,0 +1,91 @@ +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +MPI.Init() +HYPRE.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + end_assemble(assembler) + + return K, f +end + +K, f = doassemble(cellvalues, dh, ch); + +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/dev/examples/heat_equation_hypre/index.html b/dev/examples/heat_equation_hypre/index.html new file mode 100644 index 0000000..a3e7344 --- /dev/null +++ b/dev/examples/heat_equation_hypre/index.html @@ -0,0 +1,151 @@ + +Distributed Assembly with HYPRE.jl · FerriteDistributed.jl

    Distributed Assembly with HYPRE.jl

    Introduction

    Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

    Commented Program

    Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

    First we load Ferrite, and some other packages we need

    using FerriteDistributed
    +using HYPRE, Metis
    +
    +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
    << @example-block not executed in draft mode >>

    Launch MPI and HYPRE

    MPI.Init()
    +HYPRE.Init()
    << @example-block not executed in draft mode >>

    We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.

    dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
    +nothing #hide
    << @example-block not executed in draft mode >>

    Trial and test functions

    Nothing changes here.

    ref = RefHexahedron
    +ip = Lagrange{ref, 2}()
    +ip_geo = Lagrange{ref, 1}()
    +qr = QuadratureRule{ref}(3)
    +cellvalues = CellValues(qr, ip, ip_geo);
    +nothing #hide
    << @example-block not executed in draft mode >>

    Degrees of freedom

    Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

    dh = DofHandler(dgrid)
    +push!(dh, :u, 1, ip)
    +close!(dh);
    +nothing #hide
    << @example-block not executed in draft mode >>

    Boundary conditions

    Nothing has to be changed here either.

    ch = ConstraintHandler(dh);
    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
    +add!(ch, dbc);
    +close!(ch)
    << @example-block not executed in draft mode >>

    Assembling the linear system

    Assembling the system works also mostly analogue.

    function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
    +    n_basefuncs = getnbasefunctions(cellvalues)
    +    Ke = zeros(n_basefuncs, n_basefuncs)
    +    fe = zeros(n_basefuncs)
    << @example-block not executed in draft mode >>

    ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.

    TODO how to put this into an interface?

        dgrid = getglobalgrid(dh)
    +    comm = global_comm(dgrid)
    +    ldofrange = local_dof_range(dh)
    +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
    +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
    +
    +    assembler = start_assemble(K, f)
    << @example-block not executed in draft mode >>

    For the local assembly nothing changes

        for cell in CellIterator(dh)
    +        fill!(Ke, 0)
    +        fill!(fe, 0)
    +
    +        reinit!(cellvalues, cell)
    +        coords = getcoordinates(cell)
    +
    +        for q_point in 1:getnquadpoints(cellvalues)
    +            dΩ = getdetJdV(cellvalues, q_point)
    +
    +            for i in 1:n_basefuncs
    +                v  = shape_value(cellvalues, q_point, i)
    +                ∇v = shape_gradient(cellvalues, q_point, i)
    << @example-block not executed in draft mode >>

    Manufactured solution of Π cos(xᵢπ)

                    x = spatial_coordinate(cellvalues, q_point, coords)
    +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
    +
    +                for j in 1:n_basefuncs
    +                    ∇u = shape_gradient(cellvalues, q_point, j)
    +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
    +                end
    +            end
    +        end
    +
    +        apply_local!(Ke, fe, celldofs(cell), ch)
    << @example-block not executed in draft mode >>

    TODO how to put this into an interface.

            assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
    +    end
    << @example-block not executed in draft mode >>

    Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

        end_assemble(assembler)
    +
    +    return K, f
    +end
    +nothing # hide
    << @example-block not executed in draft mode >>

    Solution of the system

    Again, we assemble our problem. Note that we applied the constraints locally.

    K, f = doassemble(cellvalues, dh, ch);
    +nothing #hide
    << @example-block not executed in draft mode >>

    We use CG with AMG preconditioner to solve the system.

    precond = HYPRE.BoomerAMG()
    +solver = HYPRE.PCG(; Precond = precond)
    +uₕ = HYPRE.solve(solver, K, f)
    << @example-block not executed in draft mode >>

    And convert the solution from HYPRE to Ferrite

    u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
    +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
    << @example-block not executed in draft mode >>

    Exporting via PVTK

    To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

    vtk_grid("heat_equation_distributed", dh) do vtk
    +    vtk_point_data(vtk, dh, u_local)
    << @example-block not executed in draft mode >>

    For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

        vtk_shared_vertices(vtk, dgrid)
    +    vtk_shared_faces(vtk, dgrid)
    +    vtk_partitioning(vtk, dgrid)
    +end
    << @example-block not executed in draft mode >>

    Plain program

    Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.

    using FerriteDistributed
    +using HYPRE, Metis
    +
    +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
    +
    +MPI.Init()
    +HYPRE.Init()
    +
    +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
    +
    +ref = RefHexahedron
    +ip = Lagrange{ref, 2}()
    +ip_geo = Lagrange{ref, 1}()
    +qr = QuadratureRule{ref}(3)
    +cellvalues = CellValues(qr, ip, ip_geo);
    +
    +dh = DofHandler(dgrid)
    +push!(dh, :u, 1, ip)
    +close!(dh);
    +
    +ch = ConstraintHandler(dh);
    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
    +add!(ch, dbc);
    +close!(ch)
    +
    +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
    +    n_basefuncs = getnbasefunctions(cellvalues)
    +    Ke = zeros(n_basefuncs, n_basefuncs)
    +    fe = zeros(n_basefuncs)
    +
    +    dgrid = getglobalgrid(dh)
    +    comm = global_comm(dgrid)
    +    ldofrange = local_dof_range(dh)
    +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
    +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
    +
    +    assembler = start_assemble(K, f)
    +
    +    for cell in CellIterator(dh)
    +        fill!(Ke, 0)
    +        fill!(fe, 0)
    +
    +        reinit!(cellvalues, cell)
    +        coords = getcoordinates(cell)
    +
    +        for q_point in 1:getnquadpoints(cellvalues)
    +            dΩ = getdetJdV(cellvalues, q_point)
    +
    +            for i in 1:n_basefuncs
    +                v  = shape_value(cellvalues, q_point, i)
    +                ∇v = shape_gradient(cellvalues, q_point, i)
    +
    +                x = spatial_coordinate(cellvalues, q_point, coords)
    +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
    +
    +                for j in 1:n_basefuncs
    +                    ∇u = shape_gradient(cellvalues, q_point, j)
    +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
    +                end
    +            end
    +        end
    +
    +        apply_local!(Ke, fe, celldofs(cell), ch)
    +
    +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
    +    end
    +
    +    end_assemble(assembler)
    +
    +    return K, f
    +end
    +
    +K, f = doassemble(cellvalues, dh, ch);
    +
    +precond = HYPRE.BoomerAMG()
    +solver = HYPRE.PCG(; Precond = precond)
    +uₕ = HYPRE.solve(solver, K, f)
    +
    +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
    +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
    +
    +vtk_grid("heat_equation_distributed", dh) do vtk
    +    vtk_point_data(vtk, dh, u_local)
    +
    +    vtk_shared_vertices(vtk, dgrid)
    +    vtk_shared_faces(vtk, dgrid)
    +    vtk_partitioning(vtk, dgrid)
    +end

    This page was generated using Literate.jl.

    diff --git a/dev/examples/heat_equation_pa.jl b/dev/examples/heat_equation_pa.jl new file mode 100644 index 0000000..74c6820 --- /dev/null +++ b/dev/examples/heat_equation_pa.jl @@ -0,0 +1,76 @@ +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +MPI.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + return end_assemble(assembler) +end + +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +u = cg(K, f) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/dev/examples/heat_equation_pa/index.html b/dev/examples/heat_equation_pa/index.html new file mode 100644 index 0000000..aa40a0f --- /dev/null +++ b/dev/examples/heat_equation_pa/index.html @@ -0,0 +1,123 @@ + +Distributed Assembly with PartitionedArrays.jl · FerriteDistributed.jl

    Distributed Assembly with PartitionedArrays.jl

    Introduction

    Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

    Commented Program

    Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

    First we load Ferrite, and some other packages we need

    using FerriteDistributed
    +using PartitionedArrays, Metis
    +using IterativeSolvers
    << @example-block not executed in draft mode >>

    Launch MPI

    MPI.Init()
    << @example-block not executed in draft mode >>

    We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.

    dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
    +nothing #hide
    << @example-block not executed in draft mode >>

    Trial and test functions

    Nothing changes here.

    ref = RefHexahedron
    +ip = Lagrange{ref, 2}()
    +ip_geo = Lagrange{ref, 1}()
    +qr = QuadratureRule{ref}(3)
    +cellvalues = CellValues(qr, ip, ip_geo);
    +nothing #hide
    << @example-block not executed in draft mode >>

    Degrees of freedom

    Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

    dh = DofHandler(dgrid)
    +add!(dh, :u, ip)
    +close!(dh);
    +nothing #hide
    << @example-block not executed in draft mode >>

    Boundary conditions

    Nothing has to be changed here either.

    ch = ConstraintHandler(dh);
    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
    +add!(ch, dbc);
    +close!(ch)
    +update!(ch, 0.0);
    +nothing #hide
    << @example-block not executed in draft mode >>

    Assembling the linear system

    Assembling the system works also mostly analogue. Note that the dof handler type changed.

    function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
    +    n_basefuncs = getnbasefunctions(cellvalues)
    +    Ke = zeros(n_basefuncs, n_basefuncs)
    +    fe = zeros(n_basefuncs)
    << @example-block not executed in draft mode >>

    ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .

        assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
    << @example-block not executed in draft mode >>

    For the local assembly nothing changes

        for cell in CellIterator(dh)
    +        fill!(Ke, 0)
    +        fill!(fe, 0)
    +
    +        reinit!(cellvalues, cell)
    +        coords = getcoordinates(cell)
    +
    +        for q_point in 1:getnquadpoints(cellvalues)
    +            dΩ = getdetJdV(cellvalues, q_point)
    +
    +            for i in 1:n_basefuncs
    +                v  = shape_value(cellvalues, q_point, i)
    +                ∇v = shape_gradient(cellvalues, q_point, i)
    << @example-block not executed in draft mode >>

    Manufactured solution of Π cos(xᵢπ)

                    x = spatial_coordinate(cellvalues, q_point, coords)
    +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
    +
    +                for j in 1:n_basefuncs
    +                    ∇u = shape_gradient(cellvalues, q_point, j)
    +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
    +                end
    +            end
    +        end
    << @example-block not executed in draft mode >>

    Note that this call should be communication-free!

            Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
    +    end
    << @example-block not executed in draft mode >>

    Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

        return end_assemble(assembler)
    +end
    +nothing # hide
    << @example-block not executed in draft mode >>

    Solution of the system

    Again, we assemble our problem and apply the constraints as needed.

    K, f = doassemble(cellvalues, dh);
    +apply!(K, f, ch)
    << @example-block not executed in draft mode >>

    To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.

    u = cg(K, f)
    << @example-block not executed in draft mode >>

    Exporting via PVTK

    To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

    vtk_grid("heat_equation_distributed", dh) do vtk
    +    vtk_point_data(vtk, dh, u)
    << @example-block not executed in draft mode >>

    For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

        vtk_shared_vertices(vtk, dgrid)
    +    vtk_shared_faces(vtk, dgrid)
    +    vtk_partitioning(vtk, dgrid)
    +end
    << @example-block not executed in draft mode >>

    Plain program

    Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.

    using FerriteDistributed
    +using PartitionedArrays, Metis
    +using IterativeSolvers
    +
    +MPI.Init()
    +
    +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
    +
    +ref = RefHexahedron
    +ip = Lagrange{ref, 2}()
    +ip_geo = Lagrange{ref, 1}()
    +qr = QuadratureRule{ref}(3)
    +cellvalues = CellValues(qr, ip, ip_geo);
    +
    +dh = DofHandler(dgrid)
    +add!(dh, :u, ip)
    +close!(dh);
    +
    +ch = ConstraintHandler(dh);
    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
    +add!(ch, dbc);
    +close!(ch)
    +update!(ch, 0.0);
    +
    +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
    +    n_basefuncs = getnbasefunctions(cellvalues)
    +    Ke = zeros(n_basefuncs, n_basefuncs)
    +    fe = zeros(n_basefuncs)
    +
    +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
    +
    +    for cell in CellIterator(dh)
    +        fill!(Ke, 0)
    +        fill!(fe, 0)
    +
    +        reinit!(cellvalues, cell)
    +        coords = getcoordinates(cell)
    +
    +        for q_point in 1:getnquadpoints(cellvalues)
    +            dΩ = getdetJdV(cellvalues, q_point)
    +
    +            for i in 1:n_basefuncs
    +                v  = shape_value(cellvalues, q_point, i)
    +                ∇v = shape_gradient(cellvalues, q_point, i)
    +
    +                x = spatial_coordinate(cellvalues, q_point, coords)
    +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
    +
    +                for j in 1:n_basefuncs
    +                    ∇u = shape_gradient(cellvalues, q_point, j)
    +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
    +                end
    +            end
    +        end
    +
    +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
    +    end
    +
    +    return end_assemble(assembler)
    +end
    +
    +K, f = doassemble(cellvalues, dh);
    +apply!(K, f, ch)
    +
    +u = cg(K, f)
    +
    +vtk_grid("heat_equation_distributed", dh) do vtk
    +    vtk_point_data(vtk, dh, u)
    +
    +    vtk_shared_vertices(vtk, dgrid)
    +    vtk_shared_faces(vtk, dgrid)
    +    vtk_partitioning(vtk, dgrid)
    +end

    This page was generated using Literate.jl.

    diff --git a/dev/index.html b/dev/index.html new file mode 100644 index 0000000..c2f4c83 --- /dev/null +++ b/dev/index.html @@ -0,0 +1,11 @@ + +Home · FerriteDistributed.jl

    FerriteDistributed.jl

    Non-overlapping distributed grids for Ferrite.jl.

    Note

    This package is still experimental and may break!

    Usage

    The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via

    using MPI
    +using FerriteDistributed
    +MPI.Init()
    +dgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))

    or distribute your own grid

    using MPI
    +using Ferrite, FerriteDistributed
    +MPI.Init()
    +grid = ...
    +dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

    for more details on the calls please consult the API docs.

    Debugging Information

    The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

    using Ferrite
    +Ferrite.debug_mode()

    followed by restarting the Julia process. It can be turned off again by calling

    using Ferrite
    +Ferrite.debug_mode(enable=false)

    also followed by restarting the Julia process.

    diff --git a/dev/literate/heat_equation_hypre.jl b/dev/literate/heat_equation_hypre.jl new file mode 100644 index 0000000..3f79a04 --- /dev/null +++ b/dev/literate/heat_equation_hypre.jl @@ -0,0 +1,167 @@ +# # Distributed Assembly with HYPRE.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +# Launch MPI and HYPRE +MPI.Init() +HYPRE.Init() + +# We start generating a simple grid with 10x10x10 hexahedral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + + # TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + # TODO how to put this into an interface. + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + # Finally, for the `HYPREAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + end_assemble(assembler) + + return K, f +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem. Note that we applied the constraints locally. +K, f = doassemble(cellvalues, dh, ch); + +# We use CG with AMG preconditioner to solve the system. +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +# And convert the solution from HYPRE to Ferrite +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-hypre) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_hypre.jl`](distributed_assembly_hypre.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/dev/literate/heat_equation_pa.jl b/dev/literate/heat_equation_pa.jl new file mode 100644 index 0000000..ca31a60 --- /dev/null +++ b/dev/literate/heat_equation_pa.jl @@ -0,0 +1,156 @@ +# # Distributed Assembly with PartitionedArrays.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +# Launch MPI +MPI.Init() + +# We start generating a simple grid with 20x20 quadrilateral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. Note that the dof handler type changed. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + # NOTE: At the time of writing the only backend available is a COO + # assembly via PartitionedArrays.jl . + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + # Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + # Finally, for the `PartitionedArraysCOOAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + return end_assemble(assembler) +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem and apply the constraints as needed. +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +# To compute the solution we utilize conjugate gradients because at the time of writing +# this is the only available scalable working solver. +# Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, +# partly due to unimplemented multiplication operators for the matrix data type. +u = cg(K, f) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + map(local_values(u)) do u_local #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-pa) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_pa.jl`](distributed_assembly_pa.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/dev/reference/grid/index.html b/dev/reference/grid/index.html new file mode 100644 index 0000000..1a78077 --- /dev/null +++ b/dev/reference/grid/index.html @@ -0,0 +1,2 @@ + +NODGrid · FerriteDistributed.jl

    NODGrid

    FerriteDistributed.NODGridType
    NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

    Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

    Todo

    PartitionedArrays.jl ready constructor via extension

    source
    FerriteDistributed.NODGridMethod
    NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

    Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

    source
    FerriteDistributed.NODGridMethod
    NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

    Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

    source
    FerriteDistributed.interface_commFunction
    interface_comm(::AbstractNODGrid)

    Get a graph comminicator handle for the process boundary.

    source
    interface_comm(::NODGrid)

    Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

    source
    FerriteDistributed.global_rankFunction
    global_rank(::AbstractNODGrid)

    Get the 1-based rank of the global communicator of the grid.

    source
    global_rank(::NODGrid)

    Get the rank on the global communicator of the distributed grid.

    source
    FerriteDistributed.global_nranksFunction
    global_nranks(::AbstractNODGrid)

    Get the number of ranks of the global communicator of the grid.

    source
    global_nranks(::NODGrid)

    Get the number of ranks on the global communicator of the distributed grid.

    source
    diff --git a/dev/reference/interface/index.html b/dev/reference/interface/index.html new file mode 100644 index 0000000..0de5849 --- /dev/null +++ b/dev/reference/interface/index.html @@ -0,0 +1,2 @@ + +Interface · FerriteDistributed.jl

    Interface

    diff --git a/dev/reference/utils/index.html b/dev/reference/utils/index.html new file mode 100644 index 0000000..89c7b89 --- /dev/null +++ b/dev/reference/utils/index.html @@ -0,0 +1,2 @@ + +Utils · FerriteDistributed.jl

    Utils

    FerriteDistributed.create_partitioningFunction
    create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

    Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

    source
    diff --git a/dev/search/index.html b/dev/search/index.html new file mode 100644 index 0000000..f3afeb0 --- /dev/null +++ b/dev/search/index.html @@ -0,0 +1,2 @@ + +Search · FerriteDistributed.jl

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      diff --git a/dev/search_index.js b/dev/search_index.js new file mode 100644 index 0000000..a8e6b24 --- /dev/null +++ b/dev/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"EditURL = \"../literate/heat_equation_hypre.jl\"","category":"page"},{"location":"examples/heat_equation_hypre/#Distributed-Assembly-with-HYPRE.jl","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"section"},{"location":"examples/heat_equation_hypre/#Introduction","page":"Distributed Assembly with HYPRE.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_hypre/#Commented-Program","page":"Distributed Assembly with HYPRE.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Launch MPI and HYPRE","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"MPI.Init()\nHYPRE.Init()","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Trial-and-test-functions","page":"Distributed Assembly with HYPRE.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Degrees-of-freedom","page":"Distributed Assembly with HYPRE.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Boundary-conditions","page":"Distributed Assembly with HYPRE.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)","category":"page"},{"location":"examples/heat_equation_hypre/#Assembling-the-linear-system","page":"Distributed Assembly with HYPRE.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Assembling the system works also mostly analogue.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface?","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" end_assemble(assembler)\n\n return K, f\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Solution-of-the-system","page":"Distributed Assembly with HYPRE.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Again, we assemble our problem. Note that we applied the constraints locally.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"K, f = doassemble(cellvalues, dh, ch);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We use CG with AMG preconditioner to solve the system.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"precond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"And convert the solution from HYPRE to Ferrite","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)","category":"page"},{"location":"examples/heat_equation_hypre/#Exporting-via-PVTK","page":"Distributed Assembly with HYPRE.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/#distributed-assembly-plain-hypre","page":"Distributed Assembly with HYPRE.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS\n\nMPI.Init()\nHYPRE.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)\n\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n end_assemble(assembler)\n\n return K, f\nend\n\nK, f = doassemble(cellvalues, dh, ch);\n\nprecond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\n\nu_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"EditURL = \"../literate/heat_equation_pa.jl\"","category":"page"},{"location":"examples/heat_equation_pa/#Distributed-Assembly-with-PartitionedArrays.jl","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"section"},{"location":"examples/heat_equation_pa/#Introduction","page":"Distributed Assembly with PartitionedArrays.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_pa/#Commented-Program","page":"Distributed Assembly with PartitionedArrays.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Launch MPI","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"MPI.Init()","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Trial-and-test-functions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Degrees-of-freedom","page":"Distributed Assembly with PartitionedArrays.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Boundary-conditions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Assembling-the-linear-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Assembling the system works also mostly analogue. Note that the dof handler type changed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Note that this call should be communication-free!","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" return end_assemble(assembler)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Solution-of-the-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Again, we assemble our problem and apply the constraints as needed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"K, f = doassemble(cellvalues, dh);\napply!(K, f, ch)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"u = cg(K, f)","category":"page"},{"location":"examples/heat_equation_pa/#Exporting-via-PVTK","page":"Distributed Assembly with PartitionedArrays.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/#distributed-assembly-plain-pa","page":"Distributed Assembly with PartitionedArrays.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers\n\nMPI.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n return end_assemble(assembler)\nend\n\nK, f = doassemble(cellvalues, dh);\napply!(K, f, ch)\n\nu = cg(K, f)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/interface/#Interface","page":"Interface","title":"Interface","text":"","category":"section"},{"location":"reference/interface/","page":"Interface","title":"Interface","text":"get_shared_vertices\nget_shared_vertex\nget_shared_edges\nget_shared_edge\nget_shared_faces\nget_shared_face\nis_shared_vertex\nis_shared_edge\nis_shared_face\ngetlocalgrid","category":"page"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertices","page":"Interface","title":"FerriteDistributed.get_shared_vertices","text":"get_shared_vertices(::AbstractNODGrid)\n\nGet an interable over the shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertex","page":"Interface","title":"FerriteDistributed.get_shared_vertex","text":"get_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nGet the shared vertex associated to the VertexIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edges","page":"Interface","title":"FerriteDistributed.get_shared_edges","text":"getsharededges(::AbstractNODGrid)\n\nGet an interable over the shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edge","page":"Interface","title":"FerriteDistributed.get_shared_edge","text":"get_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nGet the shared edge associated to the EdgeIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_faces","page":"Interface","title":"FerriteDistributed.get_shared_faces","text":"get_shared_faces(::AbstractNODGrid)\n\nGet an interable over the shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_face","page":"Interface","title":"FerriteDistributed.get_shared_face","text":"get_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nGet the shared edge associated to the FaceIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_vertex","page":"Interface","title":"FerriteDistributed.is_shared_vertex","text":"is_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nCheck if a VertexIndex is a shared vertex.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_edge","page":"Interface","title":"FerriteDistributed.is_shared_edge","text":"is_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nCheck if a EdgeIndex is a shared edge.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_face","page":"Interface","title":"FerriteDistributed.is_shared_face","text":"is_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nCheck if a FaceIndex is a shared face.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.getlocalgrid","page":"Interface","title":"FerriteDistributed.getlocalgrid","text":"getlocalgrid(::AbstractNODGrid)\n\nGet the representative local grid containing only a vanilla local grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"CurrentModule = FerriteDistributed\nDocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"reference/grid/#NODGrid","page":"NODGrid","title":"NODGrid","text":"","category":"section"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"NODGrid\nNODGrid(::MPI.Comm, ::Grid)\nNODGrid(::MPI.Comm, ::Grid, ::CoverTopology, ::Vector{Int})\nFerriteDistributed.SharedEntity\nFerriteDistributed.SharedVertex\nFerriteDistributed.SharedFace\nFerriteDistributed.SharedEdge\nFerriteDistributed.remote_entities\nFerriteDistributed.global_comm\nFerriteDistributed.interface_comm\nFerriteDistributed.global_rank\nFerriteDistributed.global_nranks","category":"page"},{"location":"reference/grid/#FerriteDistributed.NODGrid","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}\n\nScalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.\n\ntodo: Todo\nPartitionedArrays.jl ready constructor via extension\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})\n\nConstruct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid, FerriteDistributed.CoverTopology, Vector{Int64}}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})\n\nConstruct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.SharedEntity","page":"NODGrid","title":"FerriteDistributed.SharedEntity","text":"SharedEntity\n\nSupertype for shared entities.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedVertex","page":"NODGrid","title":"FerriteDistributed.SharedVertex","text":"SharedVertex <: SharedEntity\n\nA shared vertex induced by a local vertex index and all remote vertex indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedFace","page":"NODGrid","title":"FerriteDistributed.SharedFace","text":"SharedFace <: SharedEntity\n\nA shared face induced by a local face index and all remote face indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedEdge","page":"NODGrid","title":"FerriteDistributed.SharedEdge","text":"SharedEdge <: SharedEntity\n\nA shared edge induced by a local edge index and all remote edge indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.remote_entities","page":"NODGrid","title":"FerriteDistributed.remote_entities","text":"remote_entities(::SharedEntity)\n\nGet an iterable of pairs, containing the 1-based rank and a collection of EntityIndices on the rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_comm","page":"NODGrid","title":"FerriteDistributed.global_comm","text":"global_comm(::AbstractNODGrid)\n\nGet a communicator handle for the full grid.\n\n\n\n\n\nglobal_comm(::NODGrid)\n\nGlobal dense communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.interface_comm","page":"NODGrid","title":"FerriteDistributed.interface_comm","text":"interface_comm(::AbstractNODGrid)\n\nGet a graph comminicator handle for the process boundary.\n\n\n\n\n\ninterface_comm(::NODGrid)\n\nGraph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_rank","page":"NODGrid","title":"FerriteDistributed.global_rank","text":"global_rank(::AbstractNODGrid)\n\nGet the 1-based rank of the global communicator of the grid.\n\n\n\n\n\nglobal_rank(::NODGrid)\n\nGet the rank on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_nranks","page":"NODGrid","title":"FerriteDistributed.global_nranks","text":"global_nranks(::AbstractNODGrid)\n\nGet the number of ranks of the global communicator of the grid.\n\n\n\n\n\nglobal_nranks(::NODGrid)\n\nGet the number of ranks on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"","page":"Home","title":"Home","text":"DocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"#FerriteDistributed.jl","page":"Home","title":"FerriteDistributed.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Non-overlapping distributed grids for Ferrite.jl.","category":"page"},{"location":"","page":"Home","title":"Home","text":"note: Note\nThis package is still experimental and may break!","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing FerriteDistributed\nMPI.Init()\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))","category":"page"},{"location":"","page":"Home","title":"Home","text":"or distribute your own grid","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing Ferrite, FerriteDistributed\nMPI.Init()\ngrid = ...\ndgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())","category":"page"},{"location":"","page":"Home","title":"Home","text":"for more details on the calls please consult the API docs.","category":"page"},{"location":"#Debugging-Information","page":"Home","title":"Debugging Information","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode()","category":"page"},{"location":"","page":"Home","title":"Home","text":"followed by restarting the Julia process. It can be turned off again by calling","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode(enable=false)","category":"page"},{"location":"","page":"Home","title":"Home","text":"also followed by restarting the Julia process.","category":"page"},{"location":"reference/utils/#Utils","page":"Utils","title":"Utils","text":"","category":"section"},{"location":"reference/utils/","page":"Utils","title":"Utils","text":"generate_nod_grid\ncreate_partitioning\ncompute_owner\nvtk_shared_edges\nvtk_shared_faces\nvtk_shared_vertices\nvtk_partitioning","category":"page"},{"location":"reference/utils/#FerriteDistributed.generate_nod_grid","page":"Utils","title":"FerriteDistributed.generate_nod_grid","text":"generate_nod_grid(comm::MPI.Comm, args...)\n\nHelper to directly generate non-overlapping distributed grids, designed to replace the call to generate_grid for use in distributed environments.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.create_partitioning","page":"Utils","title":"FerriteDistributed.create_partitioning","text":"create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}\n\nInternal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.compute_owner","page":"Utils","title":"FerriteDistributed.compute_owner","text":"compute_owner(::AbstractNODGrid, ::SharedEntity)\n\nCompute which rank (1-based index) owns the corresponding entity. \n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_edges","page":"Utils","title":"FerriteDistributed.vtk_shared_edges","text":"Enrich the VTK file with meta information about shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_faces","page":"Utils","title":"FerriteDistributed.vtk_shared_faces","text":"Enrich the VTK file with meta information about shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_vertices","page":"Utils","title":"FerriteDistributed.vtk_shared_vertices","text":"Enrich the VTK file with meta information about shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_partitioning","page":"Utils","title":"FerriteDistributed.vtk_partitioning","text":"Enrich the VTK file with partitioning meta information.\n\n\n\n\n\n","category":"function"}] +} diff --git a/dev/siteinfo.js b/dev/siteinfo.js new file mode 100644 index 0000000..3343491 --- /dev/null +++ b/dev/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "dev"; diff --git a/index.html b/index.html new file mode 100644 index 0000000..1a6cc11 --- /dev/null +++ b/index.html @@ -0,0 +1,2 @@ + + diff --git a/previews/PR24/examples/heat_equation_hypre/index.html b/previews/PR24/examples/heat_equation_hypre/index.html index caa6276..5772446 100644 --- a/previews/PR24/examples/heat_equation_hypre/index.html +++ b/previews/PR24/examples/heat_equation_hypre/index.html @@ -148,4 +148,4 @@ vtk_shared_vertices(vtk, dgrid) vtk_shared_faces(vtk, dgrid) vtk_partitioning(vtk, dgrid) -end

      This page was generated using Literate.jl.

      +end

      This page was generated using Literate.jl.

      diff --git a/previews/PR24/examples/heat_equation_pa/index.html b/previews/PR24/examples/heat_equation_pa/index.html index 9c34721..8fc7b2d 100644 --- a/previews/PR24/examples/heat_equation_pa/index.html +++ b/previews/PR24/examples/heat_equation_pa/index.html @@ -120,4 +120,4 @@ vtk_shared_vertices(vtk, dgrid) vtk_shared_faces(vtk, dgrid) vtk_partitioning(vtk, dgrid) -end

      This page was generated using Literate.jl.

      +end

      This page was generated using Literate.jl.

      diff --git a/previews/PR24/index.html b/previews/PR24/index.html index f5f13c3..f9ffff8 100644 --- a/previews/PR24/index.html +++ b/previews/PR24/index.html @@ -8,4 +8,4 @@ grid = ... dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

      for more details on the calls please consult the API docs.

      Debugging Information

      The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

      using Ferrite
       Ferrite.debug_mode()

      followed by restarting the Julia process. It can be turned off again by calling

      using Ferrite
      -Ferrite.debug_mode(enable=false)

      also followed by restarting the Julia process.

      +Ferrite.debug_mode(enable=false)

      also followed by restarting the Julia process.

      diff --git a/previews/PR24/reference/grid/index.html b/previews/PR24/reference/grid/index.html index 6c4eec0..3cf4751 100644 --- a/previews/PR24/reference/grid/index.html +++ b/previews/PR24/reference/grid/index.html @@ -1,2 +1,2 @@ -NODGrid · FerriteDistributed.jl

      NODGrid

      FerriteDistributed.NODGridType
      NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

      Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

      Todo

      PartitionedArrays.jl ready constructor via extension

      source
      FerriteDistributed.NODGridMethod
      NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

      Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

      source
      FerriteDistributed.NODGridMethod
      NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

      Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

      source
      FerriteDistributed.interface_commFunction
      interface_comm(::AbstractNODGrid)

      Get a graph comminicator handle for the process boundary.

      source
      interface_comm(::NODGrid)

      Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

      source
      FerriteDistributed.global_rankFunction
      global_rank(::AbstractNODGrid)

      Get the 1-based rank of the global communicator of the grid.

      source
      global_rank(::NODGrid)

      Get the rank on the global communicator of the distributed grid.

      source
      FerriteDistributed.global_nranksFunction
      global_nranks(::AbstractNODGrid)

      Get the number of ranks of the global communicator of the grid.

      source
      global_nranks(::NODGrid)

      Get the number of ranks on the global communicator of the distributed grid.

      source
      +NODGrid · FerriteDistributed.jl

      NODGrid

      FerriteDistributed.NODGridType
      NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

      Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

      Todo

      PartitionedArrays.jl ready constructor via extension

      source
      FerriteDistributed.NODGridMethod
      NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

      Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

      source
      FerriteDistributed.NODGridMethod
      NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

      Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

      source
      FerriteDistributed.interface_commFunction
      interface_comm(::AbstractNODGrid)

      Get a graph comminicator handle for the process boundary.

      source
      interface_comm(::NODGrid)

      Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

      source
      FerriteDistributed.global_rankFunction
      global_rank(::AbstractNODGrid)

      Get the 1-based rank of the global communicator of the grid.

      source
      global_rank(::NODGrid)

      Get the rank on the global communicator of the distributed grid.

      source
      FerriteDistributed.global_nranksFunction
      global_nranks(::AbstractNODGrid)

      Get the number of ranks of the global communicator of the grid.

      source
      global_nranks(::NODGrid)

      Get the number of ranks on the global communicator of the distributed grid.

      source
      diff --git a/previews/PR24/reference/interface/index.html b/previews/PR24/reference/interface/index.html index be02deb..aab9e54 100644 --- a/previews/PR24/reference/interface/index.html +++ b/previews/PR24/reference/interface/index.html @@ -1,2 +1,2 @@ -Interface · FerriteDistributed.jl

      Interface

      +Interface · FerriteDistributed.jl

      Interface

      diff --git a/previews/PR24/reference/utils/index.html b/previews/PR24/reference/utils/index.html index b1655f7..8eed0d4 100644 --- a/previews/PR24/reference/utils/index.html +++ b/previews/PR24/reference/utils/index.html @@ -1,2 +1,2 @@ -Utils · FerriteDistributed.jl

      Utils

      FerriteDistributed.create_partitioningFunction
      create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

      Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

      source
      +Utils · FerriteDistributed.jl

      Utils

      FerriteDistributed.create_partitioningFunction
      create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

      Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

      source
      diff --git a/previews/PR24/search/index.html b/previews/PR24/search/index.html index a0269c6..519223b 100644 --- a/previews/PR24/search/index.html +++ b/previews/PR24/search/index.html @@ -1,2 +1,2 @@ -Search · FerriteDistributed.jl

      Loading search...

        +Search · FerriteDistributed.jl

        Loading search...

          diff --git a/previews/PR26/assets/documenter.js b/previews/PR26/assets/documenter.js new file mode 100644 index 0000000..6adfbbb --- /dev/null +++ b/previews/PR26/assets/documenter.js @@ -0,0 +1,331 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-copy"); + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-times"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-times"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function() { + var settings = $('#documenter-settings'); + $('#documenter-settings-button').click(function(){ + settings.toggleClass('is-active'); + }); + // Close the dialog if X is clicked + $('#documenter-settings button.delete').click(function(){ + settings.removeClass('is-active'); + }); + // Close dialog if ESC is pressed + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function() { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button") + sidebar_button.click(function(ev) { + ev.preventDefault(); + sidebar.toggleClass('visible'); + if (sidebar.hasClass('visible')) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind('click', function(ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + }); +}) + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function() { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css('max-width'), 10); + var L0 = e.width(); + if(L0 > L) { + var h0 = parseInt(e.css('font-size'), 10); + e.css('font-size', L * h0 / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on('orientationchange', resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function() { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if(typeof(window.localStorage) !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if(theme !== null) { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = (e.value === theme); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); + DOC_VERSIONS.forEach(function(each) { + var version_url = documenterBaseURL + "/../" + each; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/previews/PR26/assets/search.js b/previews/PR26/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/previews/PR26/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { + +$(document).ready(function() { + // parseUri 1.2.2 + // (c) Steven Levithan + // MIT License + function parseUri (str) { + var o = parseUri.options, + m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + searchform = $('.docs-search'); + sidebar = $('.docs-sidebar'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
        • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + // Disable enter-key form submission for the searchbox on the search page + // and just re-run search rather than refresh the whole page. + searchform.keypress( + function(event){ + if (event.which == '13') { + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + update_search_box(); + event.preventDefault(); + } + } + ); + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/previews/PR26/assets/themes/documenter-dark.css b/previews/PR26/assets/themes/documenter-dark.css new file mode 100644 index 0000000..c94a294 --- /dev/null +++ b/previews/PR26/assets/themes/documenter-dark.css @@ -0,0 +1,7 @@ +@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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.button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content 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1055px){html.theme--documenter-dark .navbar>.container{display:block}html.theme--documenter-dark .navbar-brand .navbar-item,html.theme--documenter-dark .navbar-tabs .navbar-item{align-items:center;display:flex}html.theme--documenter-dark .navbar-link::after{display:none}html.theme--documenter-dark .navbar-menu{background-color:#375a7f;box-shadow:0 8px 16px rgba(10,10,10,0.1);padding:0.5rem 0}html.theme--documenter-dark .navbar-menu.is-active{display:block}html.theme--documenter-dark .navbar.is-fixed-bottom-touch,html.theme--documenter-dark .navbar.is-fixed-top-touch{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-touch{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-touch.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-touch{top:0}html.theme--documenter-dark .navbar.is-fixed-top .navbar-menu,html.theme--documenter-dark .navbar.is-fixed-top-touch 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#dbdee0}html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}.navbar.is-spaced html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-desktop{top:0}html.theme--documenter-dark html.has-navbar-fixed-top-desktop,html.theme--documenter-dark body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-top,html.theme--documenter-dark body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:15px;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.85em}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark .pagination.is-rounded .pagination-previous,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination .pagination-previous,html.theme--documenter-dark .pagination.is-rounded .pagination-next,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination .pagination-next{padding-left:1em;padding-right:1em;border-radius:290486px}html.theme--documenter-dark .pagination.is-rounded .pagination-link,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination .pagination-link{border-radius:290486px}html.theme--documenter-dark .pagination,html.theme--documenter-dark .pagination-list{align-items:center;display:flex;justify-content:center;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link{border-color:#5e6d6f;color:#1abc9c;min-width:2.25em}html.theme--documenter-dark .pagination-previous:hover,html.theme--documenter-dark .pagination-next:hover,html.theme--documenter-dark .pagination-link:hover{border-color:#8c9b9d;color:#1dd2af}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus{border-color:#8c9b9d}html.theme--documenter-dark .pagination-previous:active,html.theme--documenter-dark .pagination-next:active,html.theme--documenter-dark .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--documenter-dark .pagination-previous[disabled],html.theme--documenter-dark 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ul.is-center{flex:none;justify-content:center;padding-left:0.75em;padding-right:0.75em}html.theme--documenter-dark .tabs ul.is-right{justify-content:flex-end;padding-left:0.75em}html.theme--documenter-dark .tabs .icon:first-child{margin-right:0.5em}html.theme--documenter-dark .tabs .icon:last-child{margin-left:0.5em}html.theme--documenter-dark .tabs.is-centered ul{justify-content:center}html.theme--documenter-dark .tabs.is-right ul{justify-content:flex-end}html.theme--documenter-dark .tabs.is-boxed a{border:1px solid transparent;border-radius:.4em .4em 0 0}html.theme--documenter-dark .tabs.is-boxed a:hover{background-color:#282f2f;border-bottom-color:#5e6d6f}html.theme--documenter-dark .tabs.is-boxed li.is-active a{background-color:#fff;border-color:#5e6d6f;border-bottom-color:rgba(0,0,0,0) !important}html.theme--documenter-dark .tabs.is-fullwidth li{flex-grow:1;flex-shrink:0}html.theme--documenter-dark .tabs.is-toggle a{border-color:#5e6d6f;border-style:solid;border-width:1px;margin-bottom:0;position:relative}html.theme--documenter-dark .tabs.is-toggle a:hover{background-color:#282f2f;border-color:#8c9b9d;z-index:2}html.theme--documenter-dark .tabs.is-toggle li+li{margin-left:-1px}html.theme--documenter-dark .tabs.is-toggle li:first-child a{border-radius:.4em 0 0 .4em}html.theme--documenter-dark .tabs.is-toggle li:last-child a{border-radius:0 .4em .4em 0}html.theme--documenter-dark .tabs.is-toggle li.is-active a{background-color:#1abc9c;border-color:#1abc9c;color:#fff;z-index:1}html.theme--documenter-dark .tabs.is-toggle ul{border-bottom:none}html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:first-child a{border-bottom-left-radius:290486px;border-top-left-radius:290486px;padding-left:1.25em}html.theme--documenter-dark .tabs.is-toggle.is-toggle-rounded li:last-child a{border-bottom-right-radius:290486px;border-top-right-radius:290486px;padding-right:1.25em}html.theme--documenter-dark 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Gets put into the tag.. +function set_theme_from_local_storage() { + // Intialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if(window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the browser supports user color preference + var darkPreference = false; + // Check if the users preference is for dark color scheme + if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { + darkPreference = true; + } + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; var disabled = []; var darkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. 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          Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +}; + +if (document.readyState === 'loading') { + document.addEventListener('DOMContentLoaded', maybeAddWarning); +} else { + maybeAddWarning(); +}; diff --git a/previews/PR26/examples/heat_equation_hypre.jl b/previews/PR26/examples/heat_equation_hypre.jl new file mode 100644 index 0000000..d44230a --- /dev/null +++ b/previews/PR26/examples/heat_equation_hypre.jl @@ -0,0 +1,91 @@ +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +MPI.Init() +HYPRE.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + end_assemble(assembler) + + return K, f +end + +K, f = doassemble(cellvalues, dh, ch); + +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR26/examples/heat_equation_hypre/index.html b/previews/PR26/examples/heat_equation_hypre/index.html new file mode 100644 index 0000000..01595b9 --- /dev/null +++ b/previews/PR26/examples/heat_equation_hypre/index.html @@ -0,0 +1,151 @@ + +Distributed Assembly with HYPRE.jl · FerriteDistributed.jl

          Distributed Assembly with HYPRE.jl

          Introduction

          Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

          Commented Program

          Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

          First we load Ferrite, and some other packages we need

          using FerriteDistributed
          +using HYPRE, Metis
          +
          +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
          << @example-block not executed in draft mode >>

          Launch MPI and HYPRE

          MPI.Init()
          +HYPRE.Init()
          << @example-block not executed in draft mode >>

          We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.

          dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
          +nothing #hide
          << @example-block not executed in draft mode >>

          Trial and test functions

          Nothing changes here.

          ref = RefHexahedron
          +ip = Lagrange{ref, 2}()
          +ip_geo = Lagrange{ref, 1}()
          +qr = QuadratureRule{ref}(3)
          +cellvalues = CellValues(qr, ip, ip_geo);
          +nothing #hide
          << @example-block not executed in draft mode >>

          Degrees of freedom

          Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

          dh = DofHandler(dgrid)
          +push!(dh, :u, 1, ip)
          +close!(dh);
          +nothing #hide
          << @example-block not executed in draft mode >>

          Boundary conditions

          Nothing has to be changed here either.

          ch = ConstraintHandler(dh);
          +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
          +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
          +add!(ch, dbc);
          +close!(ch)
          << @example-block not executed in draft mode >>

          Assembling the linear system

          Assembling the system works also mostly analogue.

          function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
          +    n_basefuncs = getnbasefunctions(cellvalues)
          +    Ke = zeros(n_basefuncs, n_basefuncs)
          +    fe = zeros(n_basefuncs)
          << @example-block not executed in draft mode >>

          ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.

          TODO how to put this into an interface?

              dgrid = getglobalgrid(dh)
          +    comm = global_comm(dgrid)
          +    ldofrange = local_dof_range(dh)
          +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
          +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
          +
          +    assembler = start_assemble(K, f)
          << @example-block not executed in draft mode >>

          For the local assembly nothing changes

              for cell in CellIterator(dh)
          +        fill!(Ke, 0)
          +        fill!(fe, 0)
          +
          +        reinit!(cellvalues, cell)
          +        coords = getcoordinates(cell)
          +
          +        for q_point in 1:getnquadpoints(cellvalues)
          +            dΩ = getdetJdV(cellvalues, q_point)
          +
          +            for i in 1:n_basefuncs
          +                v  = shape_value(cellvalues, q_point, i)
          +                ∇v = shape_gradient(cellvalues, q_point, i)
          << @example-block not executed in draft mode >>

          Manufactured solution of Π cos(xᵢπ)

                          x = spatial_coordinate(cellvalues, q_point, coords)
          +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
          +
          +                for j in 1:n_basefuncs
          +                    ∇u = shape_gradient(cellvalues, q_point, j)
          +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
          +                end
          +            end
          +        end
          +
          +        apply_local!(Ke, fe, celldofs(cell), ch)
          << @example-block not executed in draft mode >>

          TODO how to put this into an interface.

                  assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
          +    end
          << @example-block not executed in draft mode >>

          Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

              end_assemble(assembler)
          +
          +    return K, f
          +end
          +nothing # hide
          << @example-block not executed in draft mode >>

          Solution of the system

          Again, we assemble our problem. Note that we applied the constraints locally.

          K, f = doassemble(cellvalues, dh, ch);
          +nothing #hide
          << @example-block not executed in draft mode >>

          We use CG with AMG preconditioner to solve the system.

          precond = HYPRE.BoomerAMG()
          +solver = HYPRE.PCG(; Precond = precond)
          +uₕ = HYPRE.solve(solver, K, f)
          << @example-block not executed in draft mode >>

          And convert the solution from HYPRE to Ferrite

          u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
          +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
          << @example-block not executed in draft mode >>

          Exporting via PVTK

          To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

          vtk_grid("heat_equation_distributed", dh) do vtk
          +    vtk_point_data(vtk, dh, u_local)
          << @example-block not executed in draft mode >>

          For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

              vtk_shared_vertices(vtk, dgrid)
          +    vtk_shared_faces(vtk, dgrid)
          +    vtk_partitioning(vtk, dgrid)
          +end
          << @example-block not executed in draft mode >>

          Plain program

          Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.

          using FerriteDistributed
          +using HYPRE, Metis
          +
          +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
          +
          +MPI.Init()
          +HYPRE.Init()
          +
          +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
          +
          +ref = RefHexahedron
          +ip = Lagrange{ref, 2}()
          +ip_geo = Lagrange{ref, 1}()
          +qr = QuadratureRule{ref}(3)
          +cellvalues = CellValues(qr, ip, ip_geo);
          +
          +dh = DofHandler(dgrid)
          +push!(dh, :u, 1, ip)
          +close!(dh);
          +
          +ch = ConstraintHandler(dh);
          +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
          +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
          +add!(ch, dbc);
          +close!(ch)
          +
          +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
          +    n_basefuncs = getnbasefunctions(cellvalues)
          +    Ke = zeros(n_basefuncs, n_basefuncs)
          +    fe = zeros(n_basefuncs)
          +
          +    dgrid = getglobalgrid(dh)
          +    comm = global_comm(dgrid)
          +    ldofrange = local_dof_range(dh)
          +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
          +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
          +
          +    assembler = start_assemble(K, f)
          +
          +    for cell in CellIterator(dh)
          +        fill!(Ke, 0)
          +        fill!(fe, 0)
          +
          +        reinit!(cellvalues, cell)
          +        coords = getcoordinates(cell)
          +
          +        for q_point in 1:getnquadpoints(cellvalues)
          +            dΩ = getdetJdV(cellvalues, q_point)
          +
          +            for i in 1:n_basefuncs
          +                v  = shape_value(cellvalues, q_point, i)
          +                ∇v = shape_gradient(cellvalues, q_point, i)
          +
          +                x = spatial_coordinate(cellvalues, q_point, coords)
          +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
          +
          +                for j in 1:n_basefuncs
          +                    ∇u = shape_gradient(cellvalues, q_point, j)
          +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
          +                end
          +            end
          +        end
          +
          +        apply_local!(Ke, fe, celldofs(cell), ch)
          +
          +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
          +    end
          +
          +    end_assemble(assembler)
          +
          +    return K, f
          +end
          +
          +K, f = doassemble(cellvalues, dh, ch);
          +
          +precond = HYPRE.BoomerAMG()
          +solver = HYPRE.PCG(; Precond = precond)
          +uₕ = HYPRE.solve(solver, K, f)
          +
          +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
          +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
          +
          +vtk_grid("heat_equation_distributed", dh) do vtk
          +    vtk_point_data(vtk, dh, u_local)
          +
          +    vtk_shared_vertices(vtk, dgrid)
          +    vtk_shared_faces(vtk, dgrid)
          +    vtk_partitioning(vtk, dgrid)
          +end

          This page was generated using Literate.jl.

          diff --git a/previews/PR26/examples/heat_equation_pa.jl b/previews/PR26/examples/heat_equation_pa.jl new file mode 100644 index 0000000..74c6820 --- /dev/null +++ b/previews/PR26/examples/heat_equation_pa.jl @@ -0,0 +1,76 @@ +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +MPI.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + return end_assemble(assembler) +end + +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +u = cg(K, f) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR26/examples/heat_equation_pa/index.html b/previews/PR26/examples/heat_equation_pa/index.html new file mode 100644 index 0000000..086a586 --- /dev/null +++ b/previews/PR26/examples/heat_equation_pa/index.html @@ -0,0 +1,123 @@ + +Distributed Assembly with PartitionedArrays.jl · FerriteDistributed.jl

          Distributed Assembly with PartitionedArrays.jl

          Introduction

          Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

          Commented Program

          Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

          First we load Ferrite, and some other packages we need

          using FerriteDistributed
          +using PartitionedArrays, Metis
          +using IterativeSolvers
          << @example-block not executed in draft mode >>

          Launch MPI

          MPI.Init()
          << @example-block not executed in draft mode >>

          We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.

          dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
          +nothing #hide
          << @example-block not executed in draft mode >>

          Trial and test functions

          Nothing changes here.

          ref = RefHexahedron
          +ip = Lagrange{ref, 2}()
          +ip_geo = Lagrange{ref, 1}()
          +qr = QuadratureRule{ref}(3)
          +cellvalues = CellValues(qr, ip, ip_geo);
          +nothing #hide
          << @example-block not executed in draft mode >>

          Degrees of freedom

          Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

          dh = DofHandler(dgrid)
          +add!(dh, :u, ip)
          +close!(dh);
          +nothing #hide
          << @example-block not executed in draft mode >>

          Boundary conditions

          Nothing has to be changed here either.

          ch = ConstraintHandler(dh);
          +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
          +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
          +add!(ch, dbc);
          +close!(ch)
          +update!(ch, 0.0);
          +nothing #hide
          << @example-block not executed in draft mode >>

          Assembling the linear system

          Assembling the system works also mostly analogue. Note that the dof handler type changed.

          function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
          +    n_basefuncs = getnbasefunctions(cellvalues)
          +    Ke = zeros(n_basefuncs, n_basefuncs)
          +    fe = zeros(n_basefuncs)
          << @example-block not executed in draft mode >>

          ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .

              assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
          << @example-block not executed in draft mode >>

          For the local assembly nothing changes

              for cell in CellIterator(dh)
          +        fill!(Ke, 0)
          +        fill!(fe, 0)
          +
          +        reinit!(cellvalues, cell)
          +        coords = getcoordinates(cell)
          +
          +        for q_point in 1:getnquadpoints(cellvalues)
          +            dΩ = getdetJdV(cellvalues, q_point)
          +
          +            for i in 1:n_basefuncs
          +                v  = shape_value(cellvalues, q_point, i)
          +                ∇v = shape_gradient(cellvalues, q_point, i)
          << @example-block not executed in draft mode >>

          Manufactured solution of Π cos(xᵢπ)

                          x = spatial_coordinate(cellvalues, q_point, coords)
          +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
          +
          +                for j in 1:n_basefuncs
          +                    ∇u = shape_gradient(cellvalues, q_point, j)
          +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
          +                end
          +            end
          +        end
          << @example-block not executed in draft mode >>

          Note that this call should be communication-free!

                  Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
          +    end
          << @example-block not executed in draft mode >>

          Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

              return end_assemble(assembler)
          +end
          +nothing # hide
          << @example-block not executed in draft mode >>

          Solution of the system

          Again, we assemble our problem and apply the constraints as needed.

          K, f = doassemble(cellvalues, dh);
          +apply!(K, f, ch)
          << @example-block not executed in draft mode >>

          To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.

          u = cg(K, f)
          << @example-block not executed in draft mode >>

          Exporting via PVTK

          To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

          vtk_grid("heat_equation_distributed", dh) do vtk
          +    vtk_point_data(vtk, dh, u)
          << @example-block not executed in draft mode >>

          For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

              vtk_shared_vertices(vtk, dgrid)
          +    vtk_shared_faces(vtk, dgrid)
          +    vtk_partitioning(vtk, dgrid)
          +end
          << @example-block not executed in draft mode >>

          Plain program

          Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.

          using FerriteDistributed
          +using PartitionedArrays, Metis
          +using IterativeSolvers
          +
          +MPI.Init()
          +
          +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
          +
          +ref = RefHexahedron
          +ip = Lagrange{ref, 2}()
          +ip_geo = Lagrange{ref, 1}()
          +qr = QuadratureRule{ref}(3)
          +cellvalues = CellValues(qr, ip, ip_geo);
          +
          +dh = DofHandler(dgrid)
          +add!(dh, :u, ip)
          +close!(dh);
          +
          +ch = ConstraintHandler(dh);
          +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
          +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
          +add!(ch, dbc);
          +close!(ch)
          +update!(ch, 0.0);
          +
          +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
          +    n_basefuncs = getnbasefunctions(cellvalues)
          +    Ke = zeros(n_basefuncs, n_basefuncs)
          +    fe = zeros(n_basefuncs)
          +
          +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
          +
          +    for cell in CellIterator(dh)
          +        fill!(Ke, 0)
          +        fill!(fe, 0)
          +
          +        reinit!(cellvalues, cell)
          +        coords = getcoordinates(cell)
          +
          +        for q_point in 1:getnquadpoints(cellvalues)
          +            dΩ = getdetJdV(cellvalues, q_point)
          +
          +            for i in 1:n_basefuncs
          +                v  = shape_value(cellvalues, q_point, i)
          +                ∇v = shape_gradient(cellvalues, q_point, i)
          +
          +                x = spatial_coordinate(cellvalues, q_point, coords)
          +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
          +
          +                for j in 1:n_basefuncs
          +                    ∇u = shape_gradient(cellvalues, q_point, j)
          +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
          +                end
          +            end
          +        end
          +
          +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
          +    end
          +
          +    return end_assemble(assembler)
          +end
          +
          +K, f = doassemble(cellvalues, dh);
          +apply!(K, f, ch)
          +
          +u = cg(K, f)
          +
          +vtk_grid("heat_equation_distributed", dh) do vtk
          +    vtk_point_data(vtk, dh, u)
          +
          +    vtk_shared_vertices(vtk, dgrid)
          +    vtk_shared_faces(vtk, dgrid)
          +    vtk_partitioning(vtk, dgrid)
          +end

          This page was generated using Literate.jl.

          diff --git a/previews/PR26/index.html b/previews/PR26/index.html new file mode 100644 index 0000000..038efaa --- /dev/null +++ b/previews/PR26/index.html @@ -0,0 +1,11 @@ + +Home · FerriteDistributed.jl

          FerriteDistributed.jl

          Non-overlapping distributed grids for Ferrite.jl.

          Note

          This package is still experimental and may break!

          Usage

          The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via

          using MPI
          +using FerriteDistributed
          +MPI.Init()
          +dgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))

          or distribute your own grid

          using MPI
          +using Ferrite, FerriteDistributed
          +MPI.Init()
          +grid = ...
          +dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

          for more details on the calls please consult the API docs.

          Debugging Information

          The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

          using Ferrite
          +Ferrite.debug_mode()

          followed by restarting the Julia process. It can be turned off again by calling

          using Ferrite
          +Ferrite.debug_mode(enable=false)

          also followed by restarting the Julia process.

          diff --git a/previews/PR26/literate/heat_equation_hypre.jl b/previews/PR26/literate/heat_equation_hypre.jl new file mode 100644 index 0000000..3f79a04 --- /dev/null +++ b/previews/PR26/literate/heat_equation_hypre.jl @@ -0,0 +1,167 @@ +# # Distributed Assembly with HYPRE.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +# Launch MPI and HYPRE +MPI.Init() +HYPRE.Init() + +# We start generating a simple grid with 10x10x10 hexahedral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + + # TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + # TODO how to put this into an interface. + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + # Finally, for the `HYPREAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + end_assemble(assembler) + + return K, f +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem. Note that we applied the constraints locally. +K, f = doassemble(cellvalues, dh, ch); + +# We use CG with AMG preconditioner to solve the system. +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +# And convert the solution from HYPRE to Ferrite +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-hypre) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_hypre.jl`](distributed_assembly_hypre.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR26/literate/heat_equation_pa.jl b/previews/PR26/literate/heat_equation_pa.jl new file mode 100644 index 0000000..ca31a60 --- /dev/null +++ b/previews/PR26/literate/heat_equation_pa.jl @@ -0,0 +1,156 @@ +# # Distributed Assembly with PartitionedArrays.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +# Launch MPI +MPI.Init() + +# We start generating a simple grid with 20x20 quadrilateral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. Note that the dof handler type changed. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + # NOTE: At the time of writing the only backend available is a COO + # assembly via PartitionedArrays.jl . + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + # Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + # Finally, for the `PartitionedArraysCOOAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + return end_assemble(assembler) +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem and apply the constraints as needed. +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +# To compute the solution we utilize conjugate gradients because at the time of writing +# this is the only available scalable working solver. +# Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, +# partly due to unimplemented multiplication operators for the matrix data type. +u = cg(K, f) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + map(local_values(u)) do u_local #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-pa) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_pa.jl`](distributed_assembly_pa.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR26/reference/grid/index.html b/previews/PR26/reference/grid/index.html new file mode 100644 index 0000000..1c98d32 --- /dev/null +++ b/previews/PR26/reference/grid/index.html @@ -0,0 +1,2 @@ + +NODGrid · FerriteDistributed.jl

          NODGrid

          FerriteDistributed.NODGridType
          NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

          Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

          Todo

          PartitionedArrays.jl ready constructor via extension

          source
          FerriteDistributed.NODGridMethod
          NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

          Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

          source
          FerriteDistributed.NODGridMethod
          NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

          Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

          source
          FerriteDistributed.interface_commFunction
          interface_comm(::AbstractNODGrid)

          Get a graph comminicator handle for the process boundary.

          source
          interface_comm(::NODGrid)

          Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

          source
          FerriteDistributed.global_rankFunction
          global_rank(::AbstractNODGrid)

          Get the 1-based rank of the global communicator of the grid.

          source
          global_rank(::NODGrid)

          Get the rank on the global communicator of the distributed grid.

          source
          FerriteDistributed.global_nranksFunction
          global_nranks(::AbstractNODGrid)

          Get the number of ranks of the global communicator of the grid.

          source
          global_nranks(::NODGrid)

          Get the number of ranks on the global communicator of the distributed grid.

          source
          diff --git a/previews/PR26/reference/interface/index.html b/previews/PR26/reference/interface/index.html new file mode 100644 index 0000000..d1ca706 --- /dev/null +++ b/previews/PR26/reference/interface/index.html @@ -0,0 +1,2 @@ + +Interface · FerriteDistributed.jl

          Interface

          diff --git a/previews/PR26/reference/utils/index.html b/previews/PR26/reference/utils/index.html new file mode 100644 index 0000000..c64164d --- /dev/null +++ b/previews/PR26/reference/utils/index.html @@ -0,0 +1,2 @@ + +Utils · FerriteDistributed.jl

          Utils

          FerriteDistributed.create_partitioningFunction
          create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

          Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

          source
          diff --git a/previews/PR26/search/index.html b/previews/PR26/search/index.html new file mode 100644 index 0000000..9e11ba1 --- /dev/null +++ b/previews/PR26/search/index.html @@ -0,0 +1,2 @@ + +Search · FerriteDistributed.jl

          Loading search...

            diff --git a/previews/PR26/search_index.js b/previews/PR26/search_index.js new file mode 100644 index 0000000..a8e6b24 --- /dev/null +++ b/previews/PR26/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"EditURL = \"../literate/heat_equation_hypre.jl\"","category":"page"},{"location":"examples/heat_equation_hypre/#Distributed-Assembly-with-HYPRE.jl","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"section"},{"location":"examples/heat_equation_hypre/#Introduction","page":"Distributed Assembly with HYPRE.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_hypre/#Commented-Program","page":"Distributed Assembly with HYPRE.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Launch MPI and HYPRE","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"MPI.Init()\nHYPRE.Init()","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Trial-and-test-functions","page":"Distributed Assembly with HYPRE.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Degrees-of-freedom","page":"Distributed Assembly with HYPRE.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Boundary-conditions","page":"Distributed Assembly with HYPRE.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)","category":"page"},{"location":"examples/heat_equation_hypre/#Assembling-the-linear-system","page":"Distributed Assembly with HYPRE.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Assembling the system works also mostly analogue.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface?","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" end_assemble(assembler)\n\n return K, f\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Solution-of-the-system","page":"Distributed Assembly with HYPRE.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Again, we assemble our problem. Note that we applied the constraints locally.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"K, f = doassemble(cellvalues, dh, ch);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We use CG with AMG preconditioner to solve the system.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"precond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"And convert the solution from HYPRE to Ferrite","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)","category":"page"},{"location":"examples/heat_equation_hypre/#Exporting-via-PVTK","page":"Distributed Assembly with HYPRE.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/#distributed-assembly-plain-hypre","page":"Distributed Assembly with HYPRE.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS\n\nMPI.Init()\nHYPRE.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)\n\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n end_assemble(assembler)\n\n return K, f\nend\n\nK, f = doassemble(cellvalues, dh, ch);\n\nprecond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\n\nu_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"EditURL = \"../literate/heat_equation_pa.jl\"","category":"page"},{"location":"examples/heat_equation_pa/#Distributed-Assembly-with-PartitionedArrays.jl","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"section"},{"location":"examples/heat_equation_pa/#Introduction","page":"Distributed Assembly with PartitionedArrays.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_pa/#Commented-Program","page":"Distributed Assembly with PartitionedArrays.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Launch MPI","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"MPI.Init()","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Trial-and-test-functions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Degrees-of-freedom","page":"Distributed Assembly with PartitionedArrays.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Boundary-conditions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Assembling-the-linear-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Assembling the system works also mostly analogue. Note that the dof handler type changed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Note that this call should be communication-free!","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" return end_assemble(assembler)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Solution-of-the-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Again, we assemble our problem and apply the constraints as needed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"K, f = doassemble(cellvalues, dh);\napply!(K, f, ch)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"u = cg(K, f)","category":"page"},{"location":"examples/heat_equation_pa/#Exporting-via-PVTK","page":"Distributed Assembly with PartitionedArrays.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/#distributed-assembly-plain-pa","page":"Distributed Assembly with PartitionedArrays.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers\n\nMPI.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n return end_assemble(assembler)\nend\n\nK, f = doassemble(cellvalues, dh);\napply!(K, f, ch)\n\nu = cg(K, f)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/interface/#Interface","page":"Interface","title":"Interface","text":"","category":"section"},{"location":"reference/interface/","page":"Interface","title":"Interface","text":"get_shared_vertices\nget_shared_vertex\nget_shared_edges\nget_shared_edge\nget_shared_faces\nget_shared_face\nis_shared_vertex\nis_shared_edge\nis_shared_face\ngetlocalgrid","category":"page"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertices","page":"Interface","title":"FerriteDistributed.get_shared_vertices","text":"get_shared_vertices(::AbstractNODGrid)\n\nGet an interable over the shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertex","page":"Interface","title":"FerriteDistributed.get_shared_vertex","text":"get_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nGet the shared vertex associated to the VertexIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edges","page":"Interface","title":"FerriteDistributed.get_shared_edges","text":"getsharededges(::AbstractNODGrid)\n\nGet an interable over the shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edge","page":"Interface","title":"FerriteDistributed.get_shared_edge","text":"get_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nGet the shared edge associated to the EdgeIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_faces","page":"Interface","title":"FerriteDistributed.get_shared_faces","text":"get_shared_faces(::AbstractNODGrid)\n\nGet an interable over the shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_face","page":"Interface","title":"FerriteDistributed.get_shared_face","text":"get_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nGet the shared edge associated to the FaceIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_vertex","page":"Interface","title":"FerriteDistributed.is_shared_vertex","text":"is_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nCheck if a VertexIndex is a shared vertex.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_edge","page":"Interface","title":"FerriteDistributed.is_shared_edge","text":"is_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nCheck if a EdgeIndex is a shared edge.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_face","page":"Interface","title":"FerriteDistributed.is_shared_face","text":"is_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nCheck if a FaceIndex is a shared face.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.getlocalgrid","page":"Interface","title":"FerriteDistributed.getlocalgrid","text":"getlocalgrid(::AbstractNODGrid)\n\nGet the representative local grid containing only a vanilla local grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"CurrentModule = FerriteDistributed\nDocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"reference/grid/#NODGrid","page":"NODGrid","title":"NODGrid","text":"","category":"section"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"NODGrid\nNODGrid(::MPI.Comm, ::Grid)\nNODGrid(::MPI.Comm, ::Grid, ::CoverTopology, ::Vector{Int})\nFerriteDistributed.SharedEntity\nFerriteDistributed.SharedVertex\nFerriteDistributed.SharedFace\nFerriteDistributed.SharedEdge\nFerriteDistributed.remote_entities\nFerriteDistributed.global_comm\nFerriteDistributed.interface_comm\nFerriteDistributed.global_rank\nFerriteDistributed.global_nranks","category":"page"},{"location":"reference/grid/#FerriteDistributed.NODGrid","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}\n\nScalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.\n\ntodo: Todo\nPartitionedArrays.jl ready constructor via extension\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})\n\nConstruct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid, FerriteDistributed.CoverTopology, Vector{Int64}}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})\n\nConstruct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.SharedEntity","page":"NODGrid","title":"FerriteDistributed.SharedEntity","text":"SharedEntity\n\nSupertype for shared entities.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedVertex","page":"NODGrid","title":"FerriteDistributed.SharedVertex","text":"SharedVertex <: SharedEntity\n\nA shared vertex induced by a local vertex index and all remote vertex indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedFace","page":"NODGrid","title":"FerriteDistributed.SharedFace","text":"SharedFace <: SharedEntity\n\nA shared face induced by a local face index and all remote face indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedEdge","page":"NODGrid","title":"FerriteDistributed.SharedEdge","text":"SharedEdge <: SharedEntity\n\nA shared edge induced by a local edge index and all remote edge indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.remote_entities","page":"NODGrid","title":"FerriteDistributed.remote_entities","text":"remote_entities(::SharedEntity)\n\nGet an iterable of pairs, containing the 1-based rank and a collection of EntityIndices on the rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_comm","page":"NODGrid","title":"FerriteDistributed.global_comm","text":"global_comm(::AbstractNODGrid)\n\nGet a communicator handle for the full grid.\n\n\n\n\n\nglobal_comm(::NODGrid)\n\nGlobal dense communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.interface_comm","page":"NODGrid","title":"FerriteDistributed.interface_comm","text":"interface_comm(::AbstractNODGrid)\n\nGet a graph comminicator handle for the process boundary.\n\n\n\n\n\ninterface_comm(::NODGrid)\n\nGraph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_rank","page":"NODGrid","title":"FerriteDistributed.global_rank","text":"global_rank(::AbstractNODGrid)\n\nGet the 1-based rank of the global communicator of the grid.\n\n\n\n\n\nglobal_rank(::NODGrid)\n\nGet the rank on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_nranks","page":"NODGrid","title":"FerriteDistributed.global_nranks","text":"global_nranks(::AbstractNODGrid)\n\nGet the number of ranks of the global communicator of the grid.\n\n\n\n\n\nglobal_nranks(::NODGrid)\n\nGet the number of ranks on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"","page":"Home","title":"Home","text":"DocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"#FerriteDistributed.jl","page":"Home","title":"FerriteDistributed.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Non-overlapping distributed grids for Ferrite.jl.","category":"page"},{"location":"","page":"Home","title":"Home","text":"note: Note\nThis package is still experimental and may break!","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing FerriteDistributed\nMPI.Init()\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))","category":"page"},{"location":"","page":"Home","title":"Home","text":"or distribute your own grid","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing Ferrite, FerriteDistributed\nMPI.Init()\ngrid = ...\ndgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())","category":"page"},{"location":"","page":"Home","title":"Home","text":"for more details on the calls please consult the API docs.","category":"page"},{"location":"#Debugging-Information","page":"Home","title":"Debugging Information","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode()","category":"page"},{"location":"","page":"Home","title":"Home","text":"followed by restarting the Julia process. It can be turned off again by calling","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode(enable=false)","category":"page"},{"location":"","page":"Home","title":"Home","text":"also followed by restarting the Julia process.","category":"page"},{"location":"reference/utils/#Utils","page":"Utils","title":"Utils","text":"","category":"section"},{"location":"reference/utils/","page":"Utils","title":"Utils","text":"generate_nod_grid\ncreate_partitioning\ncompute_owner\nvtk_shared_edges\nvtk_shared_faces\nvtk_shared_vertices\nvtk_partitioning","category":"page"},{"location":"reference/utils/#FerriteDistributed.generate_nod_grid","page":"Utils","title":"FerriteDistributed.generate_nod_grid","text":"generate_nod_grid(comm::MPI.Comm, args...)\n\nHelper to directly generate non-overlapping distributed grids, designed to replace the call to generate_grid for use in distributed environments.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.create_partitioning","page":"Utils","title":"FerriteDistributed.create_partitioning","text":"create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}\n\nInternal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.compute_owner","page":"Utils","title":"FerriteDistributed.compute_owner","text":"compute_owner(::AbstractNODGrid, ::SharedEntity)\n\nCompute which rank (1-based index) owns the corresponding entity. \n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_edges","page":"Utils","title":"FerriteDistributed.vtk_shared_edges","text":"Enrich the VTK file with meta information about shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_faces","page":"Utils","title":"FerriteDistributed.vtk_shared_faces","text":"Enrich the VTK file with meta information about shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_vertices","page":"Utils","title":"FerriteDistributed.vtk_shared_vertices","text":"Enrich the VTK file with meta information about shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_partitioning","page":"Utils","title":"FerriteDistributed.vtk_partitioning","text":"Enrich the VTK file with partitioning meta information.\n\n\n\n\n\n","category":"function"}] +} diff --git a/previews/PR26/siteinfo.js b/previews/PR26/siteinfo.js new file mode 100644 index 0000000..e420cf8 --- /dev/null +++ b/previews/PR26/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR26"; diff --git a/previews/PR27/assets/documenter.js b/previews/PR27/assets/documenter.js new file mode 100644 index 0000000..6adfbbb --- /dev/null +++ b/previews/PR27/assets/documenter.js @@ -0,0 +1,331 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-copy"); + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-times"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-times"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function() { + var settings = $('#documenter-settings'); + $('#documenter-settings-button').click(function(){ + settings.toggleClass('is-active'); + }); + // Close the dialog if X is clicked + $('#documenter-settings button.delete').click(function(){ + settings.removeClass('is-active'); + }); + // Close dialog if ESC is pressed + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function() { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button") + sidebar_button.click(function(ev) { + ev.preventDefault(); + sidebar.toggleClass('visible'); + if (sidebar.hasClass('visible')) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind('click', function(ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + }); +}) + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function() { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css('max-width'), 10); + var L0 = e.width(); + if(L0 > L) { + var h0 = parseInt(e.css('font-size'), 10); + e.css('font-size', L * h0 / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on('orientationchange', resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function() { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if(typeof(window.localStorage) !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if(theme !== null) { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = (e.value === theme); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); + DOC_VERSIONS.forEach(function(each) { + var version_url = documenterBaseURL + "/../" + each; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/previews/PR27/assets/search.js b/previews/PR27/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/previews/PR27/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { + +$(document).ready(function() { + // parseUri 1.2.2 + // (c) Steven Levithan + // MIT License + function parseUri (str) { + var o = parseUri.options, + m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + searchform = $('.docs-search'); + sidebar = $('.docs-sidebar'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
          • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + // Disable enter-key form submission for the searchbox on the search page + // and just re-run search rather than refresh the whole page. + searchform.keypress( + function(event){ + if (event.which == '13') { + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + update_search_box(); + event.preventDefault(); + } + } + ); + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/previews/PR27/assets/themes/documenter-dark.css b/previews/PR27/assets/themes/documenter-dark.css new 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html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark 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.button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a 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.button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#ecf0f1}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#dde4e6}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#ecf0f1;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#ecf0f1;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content 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form.docs-search>input.button{border-radius:290486px;padding-left:1em;padding-right:1em}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:0.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){border-radius:3px;font-size:.85em}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons 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            Distributed Assembly with HYPRE.jl

            Introduction

            Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

            Commented Program

            Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

            First we load Ferrite, and some other packages we need

            using FerriteDistributed
            +using HYPRE, Metis
            +
            +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
            << @example-block not executed in draft mode >>

            Launch MPI and HYPRE

            MPI.Init()
            +HYPRE.Init()
            << @example-block not executed in draft mode >>

            We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.

            dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
            +nothing #hide
            << @example-block not executed in draft mode >>

            Trial and test functions

            Nothing changes here.

            ref = RefHexahedron
            +ip = Lagrange{ref, 2}()
            +ip_geo = Lagrange{ref, 1}()
            +qr = QuadratureRule{ref}(3)
            +cellvalues = CellValues(qr, ip, ip_geo);
            +nothing #hide
            << @example-block not executed in draft mode >>

            Degrees of freedom

            Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

            dh = DofHandler(dgrid)
            +push!(dh, :u, 1, ip)
            +close!(dh);
            +nothing #hide
            << @example-block not executed in draft mode >>

            Boundary conditions

            Nothing has to be changed here either.

            ch = ConstraintHandler(dh);
            +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
            +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
            +add!(ch, dbc);
            +close!(ch)
            << @example-block not executed in draft mode >>

            Assembling the linear system

            Assembling the system works also mostly analogue.

            function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
            +    n_basefuncs = getnbasefunctions(cellvalues)
            +    Ke = zeros(n_basefuncs, n_basefuncs)
            +    fe = zeros(n_basefuncs)
            << @example-block not executed in draft mode >>

            ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.

            TODO how to put this into an interface?

                dgrid = getglobalgrid(dh)
            +    comm = global_comm(dgrid)
            +    ldofrange = local_dof_range(dh)
            +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
            +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
            +
            +    assembler = start_assemble(K, f)
            << @example-block not executed in draft mode >>

            For the local assembly nothing changes

                for cell in CellIterator(dh)
            +        fill!(Ke, 0)
            +        fill!(fe, 0)
            +
            +        reinit!(cellvalues, cell)
            +        coords = getcoordinates(cell)
            +
            +        for q_point in 1:getnquadpoints(cellvalues)
            +            dΩ = getdetJdV(cellvalues, q_point)
            +
            +            for i in 1:n_basefuncs
            +                v  = shape_value(cellvalues, q_point, i)
            +                ∇v = shape_gradient(cellvalues, q_point, i)
            << @example-block not executed in draft mode >>

            Manufactured solution of Π cos(xᵢπ)

                            x = spatial_coordinate(cellvalues, q_point, coords)
            +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
            +
            +                for j in 1:n_basefuncs
            +                    ∇u = shape_gradient(cellvalues, q_point, j)
            +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
            +                end
            +            end
            +        end
            +
            +        apply_local!(Ke, fe, celldofs(cell), ch)
            << @example-block not executed in draft mode >>

            TODO how to put this into an interface.

                    assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
            +    end
            << @example-block not executed in draft mode >>

            Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                end_assemble(assembler)
            +
            +    return K, f
            +end
            +nothing # hide
            << @example-block not executed in draft mode >>

            Solution of the system

            Again, we assemble our problem. Note that we applied the constraints locally.

            K, f = doassemble(cellvalues, dh, ch);
            +nothing #hide
            << @example-block not executed in draft mode >>

            We use CG with AMG preconditioner to solve the system.

            precond = HYPRE.BoomerAMG()
            +solver = HYPRE.PCG(; Precond = precond)
            +uₕ = HYPRE.solve(solver, K, f)
            << @example-block not executed in draft mode >>

            And convert the solution from HYPRE to Ferrite

            u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
            +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
            << @example-block not executed in draft mode >>

            Exporting via PVTK

            To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

            vtk_grid("heat_equation_distributed", dh) do vtk
            +    vtk_point_data(vtk, dh, u_local)
            << @example-block not executed in draft mode >>

            For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                vtk_shared_vertices(vtk, dgrid)
            +    vtk_shared_faces(vtk, dgrid)
            +    vtk_partitioning(vtk, dgrid)
            +end
            << @example-block not executed in draft mode >>

            Plain program

            Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.

            using FerriteDistributed
            +using HYPRE, Metis
            +
            +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
            +
            +MPI.Init()
            +HYPRE.Init()
            +
            +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
            +
            +ref = RefHexahedron
            +ip = Lagrange{ref, 2}()
            +ip_geo = Lagrange{ref, 1}()
            +qr = QuadratureRule{ref}(3)
            +cellvalues = CellValues(qr, ip, ip_geo);
            +
            +dh = DofHandler(dgrid)
            +push!(dh, :u, 1, ip)
            +close!(dh);
            +
            +ch = ConstraintHandler(dh);
            +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
            +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
            +add!(ch, dbc);
            +close!(ch)
            +
            +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
            +    n_basefuncs = getnbasefunctions(cellvalues)
            +    Ke = zeros(n_basefuncs, n_basefuncs)
            +    fe = zeros(n_basefuncs)
            +
            +    dgrid = getglobalgrid(dh)
            +    comm = global_comm(dgrid)
            +    ldofrange = local_dof_range(dh)
            +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
            +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
            +
            +    assembler = start_assemble(K, f)
            +
            +    for cell in CellIterator(dh)
            +        fill!(Ke, 0)
            +        fill!(fe, 0)
            +
            +        reinit!(cellvalues, cell)
            +        coords = getcoordinates(cell)
            +
            +        for q_point in 1:getnquadpoints(cellvalues)
            +            dΩ = getdetJdV(cellvalues, q_point)
            +
            +            for i in 1:n_basefuncs
            +                v  = shape_value(cellvalues, q_point, i)
            +                ∇v = shape_gradient(cellvalues, q_point, i)
            +
            +                x = spatial_coordinate(cellvalues, q_point, coords)
            +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
            +
            +                for j in 1:n_basefuncs
            +                    ∇u = shape_gradient(cellvalues, q_point, j)
            +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
            +                end
            +            end
            +        end
            +
            +        apply_local!(Ke, fe, celldofs(cell), ch)
            +
            +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
            +    end
            +
            +    end_assemble(assembler)
            +
            +    return K, f
            +end
            +
            +K, f = doassemble(cellvalues, dh, ch);
            +
            +precond = HYPRE.BoomerAMG()
            +solver = HYPRE.PCG(; Precond = precond)
            +uₕ = HYPRE.solve(solver, K, f)
            +
            +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
            +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
            +
            +vtk_grid("heat_equation_distributed", dh) do vtk
            +    vtk_point_data(vtk, dh, u_local)
            +
            +    vtk_shared_vertices(vtk, dgrid)
            +    vtk_shared_faces(vtk, dgrid)
            +    vtk_partitioning(vtk, dgrid)
            +end

            This page was generated using Literate.jl.

            diff --git a/previews/PR27/examples/heat_equation_pa.jl b/previews/PR27/examples/heat_equation_pa.jl new file mode 100644 index 0000000..74c6820 --- /dev/null +++ b/previews/PR27/examples/heat_equation_pa.jl @@ -0,0 +1,76 @@ +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +MPI.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + return end_assemble(assembler) +end + +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +u = cg(K, f) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR27/examples/heat_equation_pa/index.html b/previews/PR27/examples/heat_equation_pa/index.html new file mode 100644 index 0000000..65c5c80 --- /dev/null +++ b/previews/PR27/examples/heat_equation_pa/index.html @@ -0,0 +1,123 @@ + +Distributed Assembly with PartitionedArrays.jl · FerriteDistributed.jl

            Distributed Assembly with PartitionedArrays.jl

            Introduction

            Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

            Commented Program

            Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

            First we load Ferrite, and some other packages we need

            using FerriteDistributed
            +using PartitionedArrays, Metis
            +using IterativeSolvers
            << @example-block not executed in draft mode >>

            Launch MPI

            MPI.Init()
            << @example-block not executed in draft mode >>

            We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.

            dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
            +nothing #hide
            << @example-block not executed in draft mode >>

            Trial and test functions

            Nothing changes here.

            ref = RefHexahedron
            +ip = Lagrange{ref, 2}()
            +ip_geo = Lagrange{ref, 1}()
            +qr = QuadratureRule{ref}(3)
            +cellvalues = CellValues(qr, ip, ip_geo);
            +nothing #hide
            << @example-block not executed in draft mode >>

            Degrees of freedom

            Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

            dh = DofHandler(dgrid)
            +add!(dh, :u, ip)
            +close!(dh);
            +nothing #hide
            << @example-block not executed in draft mode >>

            Boundary conditions

            Nothing has to be changed here either.

            ch = ConstraintHandler(dh);
            +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
            +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
            +add!(ch, dbc);
            +close!(ch)
            +update!(ch, 0.0);
            +nothing #hide
            << @example-block not executed in draft mode >>

            Assembling the linear system

            Assembling the system works also mostly analogue. Note that the dof handler type changed.

            function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
            +    n_basefuncs = getnbasefunctions(cellvalues)
            +    Ke = zeros(n_basefuncs, n_basefuncs)
            +    fe = zeros(n_basefuncs)
            << @example-block not executed in draft mode >>

            ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .

                assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
            << @example-block not executed in draft mode >>

            For the local assembly nothing changes

                for cell in CellIterator(dh)
            +        fill!(Ke, 0)
            +        fill!(fe, 0)
            +
            +        reinit!(cellvalues, cell)
            +        coords = getcoordinates(cell)
            +
            +        for q_point in 1:getnquadpoints(cellvalues)
            +            dΩ = getdetJdV(cellvalues, q_point)
            +
            +            for i in 1:n_basefuncs
            +                v  = shape_value(cellvalues, q_point, i)
            +                ∇v = shape_gradient(cellvalues, q_point, i)
            << @example-block not executed in draft mode >>

            Manufactured solution of Π cos(xᵢπ)

                            x = spatial_coordinate(cellvalues, q_point, coords)
            +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
            +
            +                for j in 1:n_basefuncs
            +                    ∇u = shape_gradient(cellvalues, q_point, j)
            +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
            +                end
            +            end
            +        end
            << @example-block not executed in draft mode >>

            Note that this call should be communication-free!

                    Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
            +    end
            << @example-block not executed in draft mode >>

            Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                return end_assemble(assembler)
            +end
            +nothing # hide
            << @example-block not executed in draft mode >>

            Solution of the system

            Again, we assemble our problem and apply the constraints as needed.

            K, f = doassemble(cellvalues, dh);
            +apply!(K, f, ch)
            << @example-block not executed in draft mode >>

            To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.

            u = cg(K, f)
            << @example-block not executed in draft mode >>

            Exporting via PVTK

            To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

            vtk_grid("heat_equation_distributed", dh) do vtk
            +    vtk_point_data(vtk, dh, u)
            << @example-block not executed in draft mode >>

            For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                vtk_shared_vertices(vtk, dgrid)
            +    vtk_shared_faces(vtk, dgrid)
            +    vtk_partitioning(vtk, dgrid)
            +end
            << @example-block not executed in draft mode >>

            Plain program

            Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.

            using FerriteDistributed
            +using PartitionedArrays, Metis
            +using IterativeSolvers
            +
            +MPI.Init()
            +
            +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
            +
            +ref = RefHexahedron
            +ip = Lagrange{ref, 2}()
            +ip_geo = Lagrange{ref, 1}()
            +qr = QuadratureRule{ref}(3)
            +cellvalues = CellValues(qr, ip, ip_geo);
            +
            +dh = DofHandler(dgrid)
            +add!(dh, :u, ip)
            +close!(dh);
            +
            +ch = ConstraintHandler(dh);
            +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
            +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
            +add!(ch, dbc);
            +close!(ch)
            +update!(ch, 0.0);
            +
            +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
            +    n_basefuncs = getnbasefunctions(cellvalues)
            +    Ke = zeros(n_basefuncs, n_basefuncs)
            +    fe = zeros(n_basefuncs)
            +
            +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
            +
            +    for cell in CellIterator(dh)
            +        fill!(Ke, 0)
            +        fill!(fe, 0)
            +
            +        reinit!(cellvalues, cell)
            +        coords = getcoordinates(cell)
            +
            +        for q_point in 1:getnquadpoints(cellvalues)
            +            dΩ = getdetJdV(cellvalues, q_point)
            +
            +            for i in 1:n_basefuncs
            +                v  = shape_value(cellvalues, q_point, i)
            +                ∇v = shape_gradient(cellvalues, q_point, i)
            +
            +                x = spatial_coordinate(cellvalues, q_point, coords)
            +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
            +
            +                for j in 1:n_basefuncs
            +                    ∇u = shape_gradient(cellvalues, q_point, j)
            +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
            +                end
            +            end
            +        end
            +
            +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
            +    end
            +
            +    return end_assemble(assembler)
            +end
            +
            +K, f = doassemble(cellvalues, dh);
            +apply!(K, f, ch)
            +
            +u = cg(K, f)
            +
            +vtk_grid("heat_equation_distributed", dh) do vtk
            +    vtk_point_data(vtk, dh, u)
            +
            +    vtk_shared_vertices(vtk, dgrid)
            +    vtk_shared_faces(vtk, dgrid)
            +    vtk_partitioning(vtk, dgrid)
            +end

            This page was generated using Literate.jl.

            diff --git a/previews/PR27/index.html b/previews/PR27/index.html new file mode 100644 index 0000000..1eb3069 --- /dev/null +++ b/previews/PR27/index.html @@ -0,0 +1,11 @@ + +Home · FerriteDistributed.jl

            FerriteDistributed.jl

            Non-overlapping distributed grids for Ferrite.jl.

            Note

            This package is still experimental and may break!

            Usage

            The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via

            using MPI
            +using FerriteDistributed
            +MPI.Init()
            +dgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))

            or distribute your own grid

            using MPI
            +using Ferrite, FerriteDistributed
            +MPI.Init()
            +grid = ...
            +dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

            for more details on the calls please consult the API docs.

            Debugging Information

            The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

            using Ferrite
            +Ferrite.debug_mode()

            followed by restarting the Julia process. It can be turned off again by calling

            using Ferrite
            +Ferrite.debug_mode(enable=false)

            also followed by restarting the Julia process.

            diff --git a/previews/PR27/literate/heat_equation_hypre.jl b/previews/PR27/literate/heat_equation_hypre.jl new file mode 100644 index 0000000..3f79a04 --- /dev/null +++ b/previews/PR27/literate/heat_equation_hypre.jl @@ -0,0 +1,167 @@ +# # Distributed Assembly with HYPRE.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +# Launch MPI and HYPRE +MPI.Init() +HYPRE.Init() + +# We start generating a simple grid with 10x10x10 hexahedral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + + # TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + # TODO how to put this into an interface. + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + # Finally, for the `HYPREAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + end_assemble(assembler) + + return K, f +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem. Note that we applied the constraints locally. +K, f = doassemble(cellvalues, dh, ch); + +# We use CG with AMG preconditioner to solve the system. +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +# And convert the solution from HYPRE to Ferrite +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-hypre) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_hypre.jl`](distributed_assembly_hypre.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR27/literate/heat_equation_pa.jl b/previews/PR27/literate/heat_equation_pa.jl new file mode 100644 index 0000000..ca31a60 --- /dev/null +++ b/previews/PR27/literate/heat_equation_pa.jl @@ -0,0 +1,156 @@ +# # Distributed Assembly with PartitionedArrays.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +# Launch MPI +MPI.Init() + +# We start generating a simple grid with 20x20 quadrilateral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. Note that the dof handler type changed. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + # NOTE: At the time of writing the only backend available is a COO + # assembly via PartitionedArrays.jl . + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + # Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + # Finally, for the `PartitionedArraysCOOAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + return end_assemble(assembler) +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem and apply the constraints as needed. +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +# To compute the solution we utilize conjugate gradients because at the time of writing +# this is the only available scalable working solver. +# Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, +# partly due to unimplemented multiplication operators for the matrix data type. +u = cg(K, f) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + map(local_values(u)) do u_local #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-pa) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_pa.jl`](distributed_assembly_pa.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR27/reference/grid/index.html b/previews/PR27/reference/grid/index.html new file mode 100644 index 0000000..e42ba0b --- /dev/null +++ b/previews/PR27/reference/grid/index.html @@ -0,0 +1,2 @@ + +NODGrid · FerriteDistributed.jl

            NODGrid

            FerriteDistributed.NODGridType
            NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

            Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

            Todo

            PartitionedArrays.jl ready constructor via extension

            source
            FerriteDistributed.NODGridMethod
            NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

            Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

            source
            FerriteDistributed.NODGridMethod
            NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

            Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

            source
            FerriteDistributed.interface_commFunction
            interface_comm(::AbstractNODGrid)

            Get a graph comminicator handle for the process boundary.

            source
            interface_comm(::NODGrid)

            Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

            source
            FerriteDistributed.global_rankFunction
            global_rank(::AbstractNODGrid)

            Get the 1-based rank of the global communicator of the grid.

            source
            global_rank(::NODGrid)

            Get the rank on the global communicator of the distributed grid.

            source
            FerriteDistributed.global_nranksFunction
            global_nranks(::AbstractNODGrid)

            Get the number of ranks of the global communicator of the grid.

            source
            global_nranks(::NODGrid)

            Get the number of ranks on the global communicator of the distributed grid.

            source
            diff --git a/previews/PR27/reference/interface/index.html b/previews/PR27/reference/interface/index.html new file mode 100644 index 0000000..56319de --- /dev/null +++ b/previews/PR27/reference/interface/index.html @@ -0,0 +1,2 @@ + +Interface · FerriteDistributed.jl

            Interface

            diff --git a/previews/PR27/reference/utils/index.html b/previews/PR27/reference/utils/index.html new file mode 100644 index 0000000..a0b1c02 --- /dev/null +++ b/previews/PR27/reference/utils/index.html @@ -0,0 +1,2 @@ + +Utils · FerriteDistributed.jl

            Utils

            FerriteDistributed.create_partitioningFunction
            create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

            Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

            source
            diff --git a/previews/PR27/search/index.html b/previews/PR27/search/index.html new file mode 100644 index 0000000..b24bc5c --- /dev/null +++ b/previews/PR27/search/index.html @@ -0,0 +1,2 @@ + +Search · FerriteDistributed.jl

            Loading search...

              diff --git a/previews/PR27/search_index.js b/previews/PR27/search_index.js new file mode 100644 index 0000000..a8e6b24 --- /dev/null +++ b/previews/PR27/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"EditURL = \"../literate/heat_equation_hypre.jl\"","category":"page"},{"location":"examples/heat_equation_hypre/#Distributed-Assembly-with-HYPRE.jl","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"section"},{"location":"examples/heat_equation_hypre/#Introduction","page":"Distributed Assembly with HYPRE.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_hypre/#Commented-Program","page":"Distributed Assembly with HYPRE.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Launch MPI and HYPRE","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"MPI.Init()\nHYPRE.Init()","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Trial-and-test-functions","page":"Distributed Assembly with HYPRE.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Degrees-of-freedom","page":"Distributed Assembly with HYPRE.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Boundary-conditions","page":"Distributed Assembly with HYPRE.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)","category":"page"},{"location":"examples/heat_equation_hypre/#Assembling-the-linear-system","page":"Distributed Assembly with HYPRE.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Assembling the system works also mostly analogue.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface?","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" end_assemble(assembler)\n\n return K, f\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Solution-of-the-system","page":"Distributed Assembly with HYPRE.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Again, we assemble our problem. Note that we applied the constraints locally.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"K, f = doassemble(cellvalues, dh, ch);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We use CG with AMG preconditioner to solve the system.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"precond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"And convert the solution from HYPRE to Ferrite","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)","category":"page"},{"location":"examples/heat_equation_hypre/#Exporting-via-PVTK","page":"Distributed Assembly with HYPRE.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/#distributed-assembly-plain-hypre","page":"Distributed Assembly with HYPRE.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS\n\nMPI.Init()\nHYPRE.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)\n\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n end_assemble(assembler)\n\n return K, f\nend\n\nK, f = doassemble(cellvalues, dh, ch);\n\nprecond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\n\nu_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"EditURL = \"../literate/heat_equation_pa.jl\"","category":"page"},{"location":"examples/heat_equation_pa/#Distributed-Assembly-with-PartitionedArrays.jl","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"section"},{"location":"examples/heat_equation_pa/#Introduction","page":"Distributed Assembly with PartitionedArrays.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_pa/#Commented-Program","page":"Distributed Assembly with PartitionedArrays.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Launch MPI","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"MPI.Init()","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Trial-and-test-functions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Degrees-of-freedom","page":"Distributed Assembly with PartitionedArrays.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Boundary-conditions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Assembling-the-linear-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Assembling the system works also mostly analogue. Note that the dof handler type changed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Note that this call should be communication-free!","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" return end_assemble(assembler)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Solution-of-the-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Again, we assemble our problem and apply the constraints as needed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"K, f = doassemble(cellvalues, dh);\napply!(K, f, ch)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"u = cg(K, f)","category":"page"},{"location":"examples/heat_equation_pa/#Exporting-via-PVTK","page":"Distributed Assembly with PartitionedArrays.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/#distributed-assembly-plain-pa","page":"Distributed Assembly with PartitionedArrays.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers\n\nMPI.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n return end_assemble(assembler)\nend\n\nK, f = doassemble(cellvalues, dh);\napply!(K, f, ch)\n\nu = cg(K, f)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/interface/#Interface","page":"Interface","title":"Interface","text":"","category":"section"},{"location":"reference/interface/","page":"Interface","title":"Interface","text":"get_shared_vertices\nget_shared_vertex\nget_shared_edges\nget_shared_edge\nget_shared_faces\nget_shared_face\nis_shared_vertex\nis_shared_edge\nis_shared_face\ngetlocalgrid","category":"page"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertices","page":"Interface","title":"FerriteDistributed.get_shared_vertices","text":"get_shared_vertices(::AbstractNODGrid)\n\nGet an interable over the shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertex","page":"Interface","title":"FerriteDistributed.get_shared_vertex","text":"get_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nGet the shared vertex associated to the VertexIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edges","page":"Interface","title":"FerriteDistributed.get_shared_edges","text":"getsharededges(::AbstractNODGrid)\n\nGet an interable over the shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edge","page":"Interface","title":"FerriteDistributed.get_shared_edge","text":"get_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nGet the shared edge associated to the EdgeIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_faces","page":"Interface","title":"FerriteDistributed.get_shared_faces","text":"get_shared_faces(::AbstractNODGrid)\n\nGet an interable over the shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_face","page":"Interface","title":"FerriteDistributed.get_shared_face","text":"get_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nGet the shared edge associated to the FaceIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_vertex","page":"Interface","title":"FerriteDistributed.is_shared_vertex","text":"is_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nCheck if a VertexIndex is a shared vertex.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_edge","page":"Interface","title":"FerriteDistributed.is_shared_edge","text":"is_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nCheck if a EdgeIndex is a shared edge.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_face","page":"Interface","title":"FerriteDistributed.is_shared_face","text":"is_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nCheck if a FaceIndex is a shared face.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.getlocalgrid","page":"Interface","title":"FerriteDistributed.getlocalgrid","text":"getlocalgrid(::AbstractNODGrid)\n\nGet the representative local grid containing only a vanilla local grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"CurrentModule = FerriteDistributed\nDocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"reference/grid/#NODGrid","page":"NODGrid","title":"NODGrid","text":"","category":"section"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"NODGrid\nNODGrid(::MPI.Comm, ::Grid)\nNODGrid(::MPI.Comm, ::Grid, ::CoverTopology, ::Vector{Int})\nFerriteDistributed.SharedEntity\nFerriteDistributed.SharedVertex\nFerriteDistributed.SharedFace\nFerriteDistributed.SharedEdge\nFerriteDistributed.remote_entities\nFerriteDistributed.global_comm\nFerriteDistributed.interface_comm\nFerriteDistributed.global_rank\nFerriteDistributed.global_nranks","category":"page"},{"location":"reference/grid/#FerriteDistributed.NODGrid","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}\n\nScalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.\n\ntodo: Todo\nPartitionedArrays.jl ready constructor via extension\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})\n\nConstruct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid, FerriteDistributed.CoverTopology, Vector{Int64}}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})\n\nConstruct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.SharedEntity","page":"NODGrid","title":"FerriteDistributed.SharedEntity","text":"SharedEntity\n\nSupertype for shared entities.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedVertex","page":"NODGrid","title":"FerriteDistributed.SharedVertex","text":"SharedVertex <: SharedEntity\n\nA shared vertex induced by a local vertex index and all remote vertex indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedFace","page":"NODGrid","title":"FerriteDistributed.SharedFace","text":"SharedFace <: SharedEntity\n\nA shared face induced by a local face index and all remote face indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedEdge","page":"NODGrid","title":"FerriteDistributed.SharedEdge","text":"SharedEdge <: SharedEntity\n\nA shared edge induced by a local edge index and all remote edge indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.remote_entities","page":"NODGrid","title":"FerriteDistributed.remote_entities","text":"remote_entities(::SharedEntity)\n\nGet an iterable of pairs, containing the 1-based rank and a collection of EntityIndices on the rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_comm","page":"NODGrid","title":"FerriteDistributed.global_comm","text":"global_comm(::AbstractNODGrid)\n\nGet a communicator handle for the full grid.\n\n\n\n\n\nglobal_comm(::NODGrid)\n\nGlobal dense communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.interface_comm","page":"NODGrid","title":"FerriteDistributed.interface_comm","text":"interface_comm(::AbstractNODGrid)\n\nGet a graph comminicator handle for the process boundary.\n\n\n\n\n\ninterface_comm(::NODGrid)\n\nGraph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_rank","page":"NODGrid","title":"FerriteDistributed.global_rank","text":"global_rank(::AbstractNODGrid)\n\nGet the 1-based rank of the global communicator of the grid.\n\n\n\n\n\nglobal_rank(::NODGrid)\n\nGet the rank on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_nranks","page":"NODGrid","title":"FerriteDistributed.global_nranks","text":"global_nranks(::AbstractNODGrid)\n\nGet the number of ranks of the global communicator of the grid.\n\n\n\n\n\nglobal_nranks(::NODGrid)\n\nGet the number of ranks on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"","page":"Home","title":"Home","text":"DocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"#FerriteDistributed.jl","page":"Home","title":"FerriteDistributed.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Non-overlapping distributed grids for Ferrite.jl.","category":"page"},{"location":"","page":"Home","title":"Home","text":"note: Note\nThis package is still experimental and may break!","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing FerriteDistributed\nMPI.Init()\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))","category":"page"},{"location":"","page":"Home","title":"Home","text":"or distribute your own grid","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing Ferrite, FerriteDistributed\nMPI.Init()\ngrid = ...\ndgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())","category":"page"},{"location":"","page":"Home","title":"Home","text":"for more details on the calls please consult the API docs.","category":"page"},{"location":"#Debugging-Information","page":"Home","title":"Debugging Information","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode()","category":"page"},{"location":"","page":"Home","title":"Home","text":"followed by restarting the Julia process. It can be turned off again by calling","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode(enable=false)","category":"page"},{"location":"","page":"Home","title":"Home","text":"also followed by restarting the Julia process.","category":"page"},{"location":"reference/utils/#Utils","page":"Utils","title":"Utils","text":"","category":"section"},{"location":"reference/utils/","page":"Utils","title":"Utils","text":"generate_nod_grid\ncreate_partitioning\ncompute_owner\nvtk_shared_edges\nvtk_shared_faces\nvtk_shared_vertices\nvtk_partitioning","category":"page"},{"location":"reference/utils/#FerriteDistributed.generate_nod_grid","page":"Utils","title":"FerriteDistributed.generate_nod_grid","text":"generate_nod_grid(comm::MPI.Comm, args...)\n\nHelper to directly generate non-overlapping distributed grids, designed to replace the call to generate_grid for use in distributed environments.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.create_partitioning","page":"Utils","title":"FerriteDistributed.create_partitioning","text":"create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}\n\nInternal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.compute_owner","page":"Utils","title":"FerriteDistributed.compute_owner","text":"compute_owner(::AbstractNODGrid, ::SharedEntity)\n\nCompute which rank (1-based index) owns the corresponding entity. \n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_edges","page":"Utils","title":"FerriteDistributed.vtk_shared_edges","text":"Enrich the VTK file with meta information about shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_faces","page":"Utils","title":"FerriteDistributed.vtk_shared_faces","text":"Enrich the VTK file with meta information about shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_vertices","page":"Utils","title":"FerriteDistributed.vtk_shared_vertices","text":"Enrich the VTK file with meta information about shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_partitioning","page":"Utils","title":"FerriteDistributed.vtk_partitioning","text":"Enrich the VTK file with partitioning meta information.\n\n\n\n\n\n","category":"function"}] +} diff --git a/previews/PR27/siteinfo.js b/previews/PR27/siteinfo.js new file mode 100644 index 0000000..63a847b --- /dev/null +++ b/previews/PR27/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR27"; diff --git a/previews/PR28/assets/documenter.js b/previews/PR28/assets/documenter.js new file mode 100644 index 0000000..6adfbbb --- /dev/null +++ b/previews/PR28/assets/documenter.js @@ -0,0 +1,331 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-copy"); + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-times"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-times"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function() { + var settings = $('#documenter-settings'); + $('#documenter-settings-button').click(function(){ + settings.toggleClass('is-active'); + }); + // Close the dialog if X is clicked + $('#documenter-settings button.delete').click(function(){ + settings.removeClass('is-active'); + }); + // Close dialog if ESC is pressed + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function() { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button") + sidebar_button.click(function(ev) { + ev.preventDefault(); + sidebar.toggleClass('visible'); + if (sidebar.hasClass('visible')) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind('click', function(ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + }); +}) + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function() { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css('max-width'), 10); + var L0 = e.width(); + if(L0 > L) { + var h0 = parseInt(e.css('font-size'), 10); + e.css('font-size', L * h0 / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on('orientationchange', resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function() { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if(typeof(window.localStorage) !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if(theme !== null) { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = (e.value === theme); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); + DOC_VERSIONS.forEach(function(each) { + var version_url = documenterBaseURL + "/../" + each; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/previews/PR28/assets/search.js b/previews/PR28/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/previews/PR28/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { + +$(document).ready(function() { + // parseUri 1.2.2 + // (c) Steven Levithan + // MIT License + function parseUri (str) { + var o = parseUri.options, + m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + searchform = $('.docs-search'); + sidebar = $('.docs-sidebar'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
            • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + // Disable enter-key form submission for the searchbox on the search page + // and just re-run search rather than refresh the whole page. + searchform.keypress( + function(event){ + if (event.which == '13') { + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + update_search_box(); + event.preventDefault(); + } + } + ); + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/previews/PR28/assets/themes/documenter-dark.css b/previews/PR28/assets/themes/documenter-dark.css new 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#dbdee0}html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}.navbar.is-spaced html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-desktop{top:0}html.theme--documenter-dark html.has-navbar-fixed-top-desktop,html.theme--documenter-dark body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-top,html.theme--documenter-dark body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:15px;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.85em}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark 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.pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link{border-color:#5e6d6f;color:#1abc9c;min-width:2.25em}html.theme--documenter-dark .pagination-previous:hover,html.theme--documenter-dark .pagination-next:hover,html.theme--documenter-dark .pagination-link:hover{border-color:#8c9b9d;color:#1dd2af}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus{border-color:#8c9b9d}html.theme--documenter-dark .pagination-previous:active,html.theme--documenter-dark .pagination-next:active,html.theme--documenter-dark .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--documenter-dark .pagination-previous[disabled],html.theme--documenter-dark 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.panel-block{align-items:center;color:#f2f2f2;display:flex;justify-content:flex-start;padding:0.5em 0.75em}html.theme--documenter-dark .panel-block input[type="checkbox"]{margin-right:0.75em}html.theme--documenter-dark .panel-block>.control{flex-grow:1;flex-shrink:1;width:100%}html.theme--documenter-dark .panel-block.is-wrapped{flex-wrap:wrap}html.theme--documenter-dark .panel-block.is-active{border-left-color:#1abc9c;color:#17a689}html.theme--documenter-dark .panel-block.is-active .panel-icon{color:#1abc9c}html.theme--documenter-dark a.panel-block,html.theme--documenter-dark label.panel-block{cursor:pointer}html.theme--documenter-dark a.panel-block:hover,html.theme--documenter-dark label.panel-block:hover{background-color:#282f2f}html.theme--documenter-dark .panel-icon{display:inline-block;font-size:14px;height:1em;line-height:1em;text-align:center;vertical-align:top;width:1em;color:#fff;margin-right:0.75em}html.theme--documenter-dark .panel-icon 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Gets put into the tag.. +function set_theme_from_local_storage() { + // Intialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if(window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the browser supports user color preference + var darkPreference = false; + // Check if the users preference is for dark color scheme + if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { + darkPreference = true; + } + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; var disabled = []; var darkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if(themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null); + // Check if the theme is primary dark theme + var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null); + // If ss is for dark theme then set the value of darkTheme to the name of the theme + if(isDarkTheme) darkTheme = themename; + // If we find a matching theme (and it's not the default), we'll set active to non-null + if(themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if(themename !== theme) disabled.push(ss); + } + if(active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName('html')[0].className = "theme--" + theme; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + else if(darkTheme !== null && darkPreference === true) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName('html')[0].className = "theme--" + darkTheme; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) { + ss.disabled = true; + } + }); + } +} +set_theme_from_local_storage(); diff --git a/previews/PR28/assets/warner.js b/previews/PR28/assets/warner.js new file mode 100644 index 0000000..5531c88 --- /dev/null +++ b/previews/PR28/assets/warner.js @@ -0,0 +1,49 @@ +function maybeAddWarning () { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return + }; + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return + }; + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return + }; + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement('meta'); + meta.name = 'robots'; + meta.content = 'noindex'; + + document.getElementsByTagName('head')[0].appendChild(meta); + }; + + const div = document.createElement('div'); + div.classList.add('outdated-warning-overlay'); + const closer = document.createElement('button'); + closer.classList.add('outdated-warning-closer', 'delete'); + closer.addEventListener('click', function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + '/../' + window.DOCUMENTER_STABLE; + div.innerHTML = 'This documentation is not for the latest stable release, but for either the development version or an older release.
              Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +}; + +if (document.readyState === 'loading') { + document.addEventListener('DOMContentLoaded', maybeAddWarning); +} else { + maybeAddWarning(); +}; diff --git a/previews/PR28/examples/heat_equation_hypre.jl b/previews/PR28/examples/heat_equation_hypre.jl new file mode 100644 index 0000000..d44230a --- /dev/null +++ b/previews/PR28/examples/heat_equation_hypre.jl @@ -0,0 +1,91 @@ +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +MPI.Init() +HYPRE.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + end_assemble(assembler) + + return K, f +end + +K, f = doassemble(cellvalues, dh, ch); + +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR28/examples/heat_equation_hypre/index.html b/previews/PR28/examples/heat_equation_hypre/index.html new file mode 100644 index 0000000..baed566 --- /dev/null +++ b/previews/PR28/examples/heat_equation_hypre/index.html @@ -0,0 +1,151 @@ + +Distributed Assembly with HYPRE.jl · FerriteDistributed.jl

              Distributed Assembly with HYPRE.jl

              Introduction

              Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

              Commented Program

              Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

              First we load Ferrite, and some other packages we need

              using FerriteDistributed
              +using HYPRE, Metis
              +
              +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
              << @example-block not executed in draft mode >>

              Launch MPI and HYPRE

              MPI.Init()
              +HYPRE.Init()
              << @example-block not executed in draft mode >>

              We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.

              dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
              +nothing #hide
              << @example-block not executed in draft mode >>

              Trial and test functions

              Nothing changes here.

              ref = RefHexahedron
              +ip = Lagrange{ref, 2}()
              +ip_geo = Lagrange{ref, 1}()
              +qr = QuadratureRule{ref}(3)
              +cellvalues = CellValues(qr, ip, ip_geo);
              +nothing #hide
              << @example-block not executed in draft mode >>

              Degrees of freedom

              Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

              dh = DofHandler(dgrid)
              +push!(dh, :u, 1, ip)
              +close!(dh);
              +nothing #hide
              << @example-block not executed in draft mode >>

              Boundary conditions

              Nothing has to be changed here either.

              ch = ConstraintHandler(dh);
              +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
              +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
              +add!(ch, dbc);
              +close!(ch)
              << @example-block not executed in draft mode >>

              Assembling the linear system

              Assembling the system works also mostly analogue.

              function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
              +    n_basefuncs = getnbasefunctions(cellvalues)
              +    Ke = zeros(n_basefuncs, n_basefuncs)
              +    fe = zeros(n_basefuncs)
              << @example-block not executed in draft mode >>

              ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.

              TODO how to put this into an interface?

                  dgrid = getglobalgrid(dh)
              +    comm = global_comm(dgrid)
              +    ldofrange = local_dof_range(dh)
              +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
              +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
              +
              +    assembler = start_assemble(K, f)
              << @example-block not executed in draft mode >>

              For the local assembly nothing changes

                  for cell in CellIterator(dh)
              +        fill!(Ke, 0)
              +        fill!(fe, 0)
              +
              +        reinit!(cellvalues, cell)
              +        coords = getcoordinates(cell)
              +
              +        for q_point in 1:getnquadpoints(cellvalues)
              +            dΩ = getdetJdV(cellvalues, q_point)
              +
              +            for i in 1:n_basefuncs
              +                v  = shape_value(cellvalues, q_point, i)
              +                ∇v = shape_gradient(cellvalues, q_point, i)
              << @example-block not executed in draft mode >>

              Manufactured solution of Π cos(xᵢπ)

                              x = spatial_coordinate(cellvalues, q_point, coords)
              +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
              +
              +                for j in 1:n_basefuncs
              +                    ∇u = shape_gradient(cellvalues, q_point, j)
              +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
              +                end
              +            end
              +        end
              +
              +        apply_local!(Ke, fe, celldofs(cell), ch)
              << @example-block not executed in draft mode >>

              TODO how to put this into an interface.

                      assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
              +    end
              << @example-block not executed in draft mode >>

              Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                  end_assemble(assembler)
              +
              +    return K, f
              +end
              +nothing # hide
              << @example-block not executed in draft mode >>

              Solution of the system

              Again, we assemble our problem. Note that we applied the constraints locally.

              K, f = doassemble(cellvalues, dh, ch);
              +nothing #hide
              << @example-block not executed in draft mode >>

              We use CG with AMG preconditioner to solve the system.

              precond = HYPRE.BoomerAMG()
              +solver = HYPRE.PCG(; Precond = precond)
              +uₕ = HYPRE.solve(solver, K, f)
              << @example-block not executed in draft mode >>

              And convert the solution from HYPRE to Ferrite

              u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
              +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
              << @example-block not executed in draft mode >>

              Exporting via PVTK

              To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

              vtk_grid("heat_equation_distributed", dh) do vtk
              +    vtk_point_data(vtk, dh, u_local)
              << @example-block not executed in draft mode >>

              For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                  vtk_shared_vertices(vtk, dgrid)
              +    vtk_shared_faces(vtk, dgrid)
              +    vtk_partitioning(vtk, dgrid)
              +end
              << @example-block not executed in draft mode >>

              Plain program

              Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.

              using FerriteDistributed
              +using HYPRE, Metis
              +
              +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
              +
              +MPI.Init()
              +HYPRE.Init()
              +
              +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
              +
              +ref = RefHexahedron
              +ip = Lagrange{ref, 2}()
              +ip_geo = Lagrange{ref, 1}()
              +qr = QuadratureRule{ref}(3)
              +cellvalues = CellValues(qr, ip, ip_geo);
              +
              +dh = DofHandler(dgrid)
              +push!(dh, :u, 1, ip)
              +close!(dh);
              +
              +ch = ConstraintHandler(dh);
              +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
              +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
              +add!(ch, dbc);
              +close!(ch)
              +
              +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
              +    n_basefuncs = getnbasefunctions(cellvalues)
              +    Ke = zeros(n_basefuncs, n_basefuncs)
              +    fe = zeros(n_basefuncs)
              +
              +    dgrid = getglobalgrid(dh)
              +    comm = global_comm(dgrid)
              +    ldofrange = local_dof_range(dh)
              +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
              +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
              +
              +    assembler = start_assemble(K, f)
              +
              +    for cell in CellIterator(dh)
              +        fill!(Ke, 0)
              +        fill!(fe, 0)
              +
              +        reinit!(cellvalues, cell)
              +        coords = getcoordinates(cell)
              +
              +        for q_point in 1:getnquadpoints(cellvalues)
              +            dΩ = getdetJdV(cellvalues, q_point)
              +
              +            for i in 1:n_basefuncs
              +                v  = shape_value(cellvalues, q_point, i)
              +                ∇v = shape_gradient(cellvalues, q_point, i)
              +
              +                x = spatial_coordinate(cellvalues, q_point, coords)
              +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
              +
              +                for j in 1:n_basefuncs
              +                    ∇u = shape_gradient(cellvalues, q_point, j)
              +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
              +                end
              +            end
              +        end
              +
              +        apply_local!(Ke, fe, celldofs(cell), ch)
              +
              +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
              +    end
              +
              +    end_assemble(assembler)
              +
              +    return K, f
              +end
              +
              +K, f = doassemble(cellvalues, dh, ch);
              +
              +precond = HYPRE.BoomerAMG()
              +solver = HYPRE.PCG(; Precond = precond)
              +uₕ = HYPRE.solve(solver, K, f)
              +
              +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
              +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
              +
              +vtk_grid("heat_equation_distributed", dh) do vtk
              +    vtk_point_data(vtk, dh, u_local)
              +
              +    vtk_shared_vertices(vtk, dgrid)
              +    vtk_shared_faces(vtk, dgrid)
              +    vtk_partitioning(vtk, dgrid)
              +end

              This page was generated using Literate.jl.

              diff --git a/previews/PR28/examples/heat_equation_pa.jl b/previews/PR28/examples/heat_equation_pa.jl new file mode 100644 index 0000000..74c6820 --- /dev/null +++ b/previews/PR28/examples/heat_equation_pa.jl @@ -0,0 +1,76 @@ +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +MPI.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + return end_assemble(assembler) +end + +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +u = cg(K, f) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR28/examples/heat_equation_pa/index.html b/previews/PR28/examples/heat_equation_pa/index.html new file mode 100644 index 0000000..42d881e --- /dev/null +++ b/previews/PR28/examples/heat_equation_pa/index.html @@ -0,0 +1,123 @@ + +Distributed Assembly with PartitionedArrays.jl · FerriteDistributed.jl

              Distributed Assembly with PartitionedArrays.jl

              Introduction

              Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

              Commented Program

              Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

              First we load Ferrite, and some other packages we need

              using FerriteDistributed
              +using PartitionedArrays, Metis
              +using IterativeSolvers
              << @example-block not executed in draft mode >>

              Launch MPI

              MPI.Init()
              << @example-block not executed in draft mode >>

              We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.

              dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
              +nothing #hide
              << @example-block not executed in draft mode >>

              Trial and test functions

              Nothing changes here.

              ref = RefHexahedron
              +ip = Lagrange{ref, 2}()
              +ip_geo = Lagrange{ref, 1}()
              +qr = QuadratureRule{ref}(3)
              +cellvalues = CellValues(qr, ip, ip_geo);
              +nothing #hide
              << @example-block not executed in draft mode >>

              Degrees of freedom

              Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

              dh = DofHandler(dgrid)
              +add!(dh, :u, ip)
              +close!(dh);
              +nothing #hide
              << @example-block not executed in draft mode >>

              Boundary conditions

              Nothing has to be changed here either.

              ch = ConstraintHandler(dh);
              +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
              +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
              +add!(ch, dbc);
              +close!(ch)
              +update!(ch, 0.0);
              +nothing #hide
              << @example-block not executed in draft mode >>

              Assembling the linear system

              Assembling the system works also mostly analogue. Note that the dof handler type changed.

              function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
              +    n_basefuncs = getnbasefunctions(cellvalues)
              +    Ke = zeros(n_basefuncs, n_basefuncs)
              +    fe = zeros(n_basefuncs)
              << @example-block not executed in draft mode >>

              ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .

                  assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
              << @example-block not executed in draft mode >>

              For the local assembly nothing changes

                  for cell in CellIterator(dh)
              +        fill!(Ke, 0)
              +        fill!(fe, 0)
              +
              +        reinit!(cellvalues, cell)
              +        coords = getcoordinates(cell)
              +
              +        for q_point in 1:getnquadpoints(cellvalues)
              +            dΩ = getdetJdV(cellvalues, q_point)
              +
              +            for i in 1:n_basefuncs
              +                v  = shape_value(cellvalues, q_point, i)
              +                ∇v = shape_gradient(cellvalues, q_point, i)
              << @example-block not executed in draft mode >>

              Manufactured solution of Π cos(xᵢπ)

                              x = spatial_coordinate(cellvalues, q_point, coords)
              +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
              +
              +                for j in 1:n_basefuncs
              +                    ∇u = shape_gradient(cellvalues, q_point, j)
              +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
              +                end
              +            end
              +        end
              << @example-block not executed in draft mode >>

              Note that this call should be communication-free!

                      Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
              +    end
              << @example-block not executed in draft mode >>

              Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                  return end_assemble(assembler)
              +end
              +nothing # hide
              << @example-block not executed in draft mode >>

              Solution of the system

              Again, we assemble our problem and apply the constraints as needed.

              K, f = doassemble(cellvalues, dh);
              +apply!(K, f, ch)
              << @example-block not executed in draft mode >>

              To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.

              u = cg(K, f)
              << @example-block not executed in draft mode >>

              Exporting via PVTK

              To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

              vtk_grid("heat_equation_distributed", dh) do vtk
              +    vtk_point_data(vtk, dh, u)
              << @example-block not executed in draft mode >>

              For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                  vtk_shared_vertices(vtk, dgrid)
              +    vtk_shared_faces(vtk, dgrid)
              +    vtk_partitioning(vtk, dgrid)
              +end
              << @example-block not executed in draft mode >>

              Plain program

              Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.

              using FerriteDistributed
              +using PartitionedArrays, Metis
              +using IterativeSolvers
              +
              +MPI.Init()
              +
              +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
              +
              +ref = RefHexahedron
              +ip = Lagrange{ref, 2}()
              +ip_geo = Lagrange{ref, 1}()
              +qr = QuadratureRule{ref}(3)
              +cellvalues = CellValues(qr, ip, ip_geo);
              +
              +dh = DofHandler(dgrid)
              +add!(dh, :u, ip)
              +close!(dh);
              +
              +ch = ConstraintHandler(dh);
              +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
              +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
              +add!(ch, dbc);
              +close!(ch)
              +update!(ch, 0.0);
              +
              +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
              +    n_basefuncs = getnbasefunctions(cellvalues)
              +    Ke = zeros(n_basefuncs, n_basefuncs)
              +    fe = zeros(n_basefuncs)
              +
              +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
              +
              +    for cell in CellIterator(dh)
              +        fill!(Ke, 0)
              +        fill!(fe, 0)
              +
              +        reinit!(cellvalues, cell)
              +        coords = getcoordinates(cell)
              +
              +        for q_point in 1:getnquadpoints(cellvalues)
              +            dΩ = getdetJdV(cellvalues, q_point)
              +
              +            for i in 1:n_basefuncs
              +                v  = shape_value(cellvalues, q_point, i)
              +                ∇v = shape_gradient(cellvalues, q_point, i)
              +
              +                x = spatial_coordinate(cellvalues, q_point, coords)
              +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
              +
              +                for j in 1:n_basefuncs
              +                    ∇u = shape_gradient(cellvalues, q_point, j)
              +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
              +                end
              +            end
              +        end
              +
              +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
              +    end
              +
              +    return end_assemble(assembler)
              +end
              +
              +K, f = doassemble(cellvalues, dh);
              +apply!(K, f, ch)
              +
              +u = cg(K, f)
              +
              +vtk_grid("heat_equation_distributed", dh) do vtk
              +    vtk_point_data(vtk, dh, u)
              +
              +    vtk_shared_vertices(vtk, dgrid)
              +    vtk_shared_faces(vtk, dgrid)
              +    vtk_partitioning(vtk, dgrid)
              +end

              This page was generated using Literate.jl.

              diff --git a/previews/PR28/index.html b/previews/PR28/index.html new file mode 100644 index 0000000..3e8f49d --- /dev/null +++ b/previews/PR28/index.html @@ -0,0 +1,11 @@ + +Home · FerriteDistributed.jl

              FerriteDistributed.jl

              Non-overlapping distributed grids for Ferrite.jl.

              Note

              This package is still experimental and may break!

              Usage

              The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via

              using MPI
              +using FerriteDistributed
              +MPI.Init()
              +dgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))

              or distribute your own grid

              using MPI
              +using Ferrite, FerriteDistributed
              +MPI.Init()
              +grid = ...
              +dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

              for more details on the calls please consult the API docs.

              Debugging Information

              The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

              using Ferrite
              +Ferrite.debug_mode()

              followed by restarting the Julia process. It can be turned off again by calling

              using Ferrite
              +Ferrite.debug_mode(enable=false)

              also followed by restarting the Julia process.

              diff --git a/previews/PR28/literate/heat_equation_hypre.jl b/previews/PR28/literate/heat_equation_hypre.jl new file mode 100644 index 0000000..3f79a04 --- /dev/null +++ b/previews/PR28/literate/heat_equation_hypre.jl @@ -0,0 +1,167 @@ +# # Distributed Assembly with HYPRE.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +# Launch MPI and HYPRE +MPI.Init() +HYPRE.Init() + +# We start generating a simple grid with 10x10x10 hexahedral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + + # TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + # TODO how to put this into an interface. + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + # Finally, for the `HYPREAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + end_assemble(assembler) + + return K, f +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem. Note that we applied the constraints locally. +K, f = doassemble(cellvalues, dh, ch); + +# We use CG with AMG preconditioner to solve the system. +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +# And convert the solution from HYPRE to Ferrite +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-hypre) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_hypre.jl`](distributed_assembly_hypre.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR28/literate/heat_equation_pa.jl b/previews/PR28/literate/heat_equation_pa.jl new file mode 100644 index 0000000..ca31a60 --- /dev/null +++ b/previews/PR28/literate/heat_equation_pa.jl @@ -0,0 +1,156 @@ +# # Distributed Assembly with PartitionedArrays.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +# Launch MPI +MPI.Init() + +# We start generating a simple grid with 20x20 quadrilateral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. Note that the dof handler type changed. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + # NOTE: At the time of writing the only backend available is a COO + # assembly via PartitionedArrays.jl . + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + # Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + # Finally, for the `PartitionedArraysCOOAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + return end_assemble(assembler) +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem and apply the constraints as needed. +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +# To compute the solution we utilize conjugate gradients because at the time of writing +# this is the only available scalable working solver. +# Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, +# partly due to unimplemented multiplication operators for the matrix data type. +u = cg(K, f) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + map(local_values(u)) do u_local #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-pa) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_pa.jl`](distributed_assembly_pa.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR28/reference/grid/index.html b/previews/PR28/reference/grid/index.html new file mode 100644 index 0000000..1ebea32 --- /dev/null +++ b/previews/PR28/reference/grid/index.html @@ -0,0 +1,2 @@ + +NODGrid · FerriteDistributed.jl

              NODGrid

              FerriteDistributed.NODGridType
              NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

              Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

              Todo

              PartitionedArrays.jl ready constructor via extension

              source
              FerriteDistributed.NODGridMethod
              NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

              Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

              source
              FerriteDistributed.NODGridMethod
              NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

              Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

              source
              FerriteDistributed.interface_commFunction
              interface_comm(::AbstractNODGrid)

              Get a graph comminicator handle for the process boundary.

              source
              interface_comm(::NODGrid)

              Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

              source
              FerriteDistributed.global_rankFunction
              global_rank(::AbstractNODGrid)

              Get the 1-based rank of the global communicator of the grid.

              source
              global_rank(::NODGrid)

              Get the rank on the global communicator of the distributed grid.

              source
              FerriteDistributed.global_nranksFunction
              global_nranks(::AbstractNODGrid)

              Get the number of ranks of the global communicator of the grid.

              source
              global_nranks(::NODGrid)

              Get the number of ranks on the global communicator of the distributed grid.

              source
              diff --git a/previews/PR28/reference/interface/index.html b/previews/PR28/reference/interface/index.html new file mode 100644 index 0000000..92b01e0 --- /dev/null +++ b/previews/PR28/reference/interface/index.html @@ -0,0 +1,2 @@ + +Interface · FerriteDistributed.jl

              Interface

              diff --git a/previews/PR28/reference/utils/index.html b/previews/PR28/reference/utils/index.html new file mode 100644 index 0000000..fb69c2c --- /dev/null +++ b/previews/PR28/reference/utils/index.html @@ -0,0 +1,2 @@ + +Utils · FerriteDistributed.jl

              Utils

              FerriteDistributed.create_partitioningFunction
              create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

              Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

              source
              diff --git a/previews/PR28/search/index.html b/previews/PR28/search/index.html new file mode 100644 index 0000000..7353d14 --- /dev/null +++ b/previews/PR28/search/index.html @@ -0,0 +1,2 @@ + +Search · FerriteDistributed.jl

              Loading search...

                diff --git a/previews/PR28/search_index.js b/previews/PR28/search_index.js new file mode 100644 index 0000000..a8e6b24 --- /dev/null +++ b/previews/PR28/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"EditURL = \"../literate/heat_equation_hypre.jl\"","category":"page"},{"location":"examples/heat_equation_hypre/#Distributed-Assembly-with-HYPRE.jl","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"section"},{"location":"examples/heat_equation_hypre/#Introduction","page":"Distributed Assembly with HYPRE.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_hypre/#Commented-Program","page":"Distributed Assembly with HYPRE.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Launch MPI and HYPRE","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"MPI.Init()\nHYPRE.Init()","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Trial-and-test-functions","page":"Distributed Assembly with HYPRE.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Degrees-of-freedom","page":"Distributed Assembly with HYPRE.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Boundary-conditions","page":"Distributed Assembly with HYPRE.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)","category":"page"},{"location":"examples/heat_equation_hypre/#Assembling-the-linear-system","page":"Distributed Assembly with HYPRE.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Assembling the system works also mostly analogue.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface?","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" end_assemble(assembler)\n\n return K, f\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Solution-of-the-system","page":"Distributed Assembly with HYPRE.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Again, we assemble our problem. Note that we applied the constraints locally.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"K, f = doassemble(cellvalues, dh, ch);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We use CG with AMG preconditioner to solve the system.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"precond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"And convert the solution from HYPRE to Ferrite","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)","category":"page"},{"location":"examples/heat_equation_hypre/#Exporting-via-PVTK","page":"Distributed Assembly with HYPRE.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/#distributed-assembly-plain-hypre","page":"Distributed Assembly with HYPRE.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS\n\nMPI.Init()\nHYPRE.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)\n\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n end_assemble(assembler)\n\n return K, f\nend\n\nK, f = doassemble(cellvalues, dh, ch);\n\nprecond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\n\nu_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"EditURL = \"../literate/heat_equation_pa.jl\"","category":"page"},{"location":"examples/heat_equation_pa/#Distributed-Assembly-with-PartitionedArrays.jl","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"section"},{"location":"examples/heat_equation_pa/#Introduction","page":"Distributed Assembly with PartitionedArrays.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_pa/#Commented-Program","page":"Distributed Assembly with PartitionedArrays.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Launch MPI","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"MPI.Init()","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Trial-and-test-functions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Degrees-of-freedom","page":"Distributed Assembly with PartitionedArrays.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Boundary-conditions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Assembling-the-linear-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Assembling the system works also mostly analogue. Note that the dof handler type changed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Note that this call should be communication-free!","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" return end_assemble(assembler)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Solution-of-the-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Again, we assemble our problem and apply the constraints as needed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"K, f = doassemble(cellvalues, dh);\napply!(K, f, ch)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"u = cg(K, f)","category":"page"},{"location":"examples/heat_equation_pa/#Exporting-via-PVTK","page":"Distributed Assembly with PartitionedArrays.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/#distributed-assembly-plain-pa","page":"Distributed Assembly with PartitionedArrays.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers\n\nMPI.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n return end_assemble(assembler)\nend\n\nK, f = doassemble(cellvalues, dh);\napply!(K, f, ch)\n\nu = cg(K, f)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/interface/#Interface","page":"Interface","title":"Interface","text":"","category":"section"},{"location":"reference/interface/","page":"Interface","title":"Interface","text":"get_shared_vertices\nget_shared_vertex\nget_shared_edges\nget_shared_edge\nget_shared_faces\nget_shared_face\nis_shared_vertex\nis_shared_edge\nis_shared_face\ngetlocalgrid","category":"page"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertices","page":"Interface","title":"FerriteDistributed.get_shared_vertices","text":"get_shared_vertices(::AbstractNODGrid)\n\nGet an interable over the shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertex","page":"Interface","title":"FerriteDistributed.get_shared_vertex","text":"get_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nGet the shared vertex associated to the VertexIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edges","page":"Interface","title":"FerriteDistributed.get_shared_edges","text":"getsharededges(::AbstractNODGrid)\n\nGet an interable over the shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edge","page":"Interface","title":"FerriteDistributed.get_shared_edge","text":"get_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nGet the shared edge associated to the EdgeIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_faces","page":"Interface","title":"FerriteDistributed.get_shared_faces","text":"get_shared_faces(::AbstractNODGrid)\n\nGet an interable over the shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_face","page":"Interface","title":"FerriteDistributed.get_shared_face","text":"get_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nGet the shared edge associated to the FaceIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_vertex","page":"Interface","title":"FerriteDistributed.is_shared_vertex","text":"is_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nCheck if a VertexIndex is a shared vertex.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_edge","page":"Interface","title":"FerriteDistributed.is_shared_edge","text":"is_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nCheck if a EdgeIndex is a shared edge.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_face","page":"Interface","title":"FerriteDistributed.is_shared_face","text":"is_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nCheck if a FaceIndex is a shared face.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.getlocalgrid","page":"Interface","title":"FerriteDistributed.getlocalgrid","text":"getlocalgrid(::AbstractNODGrid)\n\nGet the representative local grid containing only a vanilla local grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"CurrentModule = FerriteDistributed\nDocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"reference/grid/#NODGrid","page":"NODGrid","title":"NODGrid","text":"","category":"section"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"NODGrid\nNODGrid(::MPI.Comm, ::Grid)\nNODGrid(::MPI.Comm, ::Grid, ::CoverTopology, ::Vector{Int})\nFerriteDistributed.SharedEntity\nFerriteDistributed.SharedVertex\nFerriteDistributed.SharedFace\nFerriteDistributed.SharedEdge\nFerriteDistributed.remote_entities\nFerriteDistributed.global_comm\nFerriteDistributed.interface_comm\nFerriteDistributed.global_rank\nFerriteDistributed.global_nranks","category":"page"},{"location":"reference/grid/#FerriteDistributed.NODGrid","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}\n\nScalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.\n\ntodo: Todo\nPartitionedArrays.jl ready constructor via extension\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})\n\nConstruct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid, FerriteDistributed.CoverTopology, Vector{Int64}}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})\n\nConstruct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.SharedEntity","page":"NODGrid","title":"FerriteDistributed.SharedEntity","text":"SharedEntity\n\nSupertype for shared entities.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedVertex","page":"NODGrid","title":"FerriteDistributed.SharedVertex","text":"SharedVertex <: SharedEntity\n\nA shared vertex induced by a local vertex index and all remote vertex indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedFace","page":"NODGrid","title":"FerriteDistributed.SharedFace","text":"SharedFace <: SharedEntity\n\nA shared face induced by a local face index and all remote face indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedEdge","page":"NODGrid","title":"FerriteDistributed.SharedEdge","text":"SharedEdge <: SharedEntity\n\nA shared edge induced by a local edge index and all remote edge indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.remote_entities","page":"NODGrid","title":"FerriteDistributed.remote_entities","text":"remote_entities(::SharedEntity)\n\nGet an iterable of pairs, containing the 1-based rank and a collection of EntityIndices on the rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_comm","page":"NODGrid","title":"FerriteDistributed.global_comm","text":"global_comm(::AbstractNODGrid)\n\nGet a communicator handle for the full grid.\n\n\n\n\n\nglobal_comm(::NODGrid)\n\nGlobal dense communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.interface_comm","page":"NODGrid","title":"FerriteDistributed.interface_comm","text":"interface_comm(::AbstractNODGrid)\n\nGet a graph comminicator handle for the process boundary.\n\n\n\n\n\ninterface_comm(::NODGrid)\n\nGraph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_rank","page":"NODGrid","title":"FerriteDistributed.global_rank","text":"global_rank(::AbstractNODGrid)\n\nGet the 1-based rank of the global communicator of the grid.\n\n\n\n\n\nglobal_rank(::NODGrid)\n\nGet the rank on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_nranks","page":"NODGrid","title":"FerriteDistributed.global_nranks","text":"global_nranks(::AbstractNODGrid)\n\nGet the number of ranks of the global communicator of the grid.\n\n\n\n\n\nglobal_nranks(::NODGrid)\n\nGet the number of ranks on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"","page":"Home","title":"Home","text":"DocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"#FerriteDistributed.jl","page":"Home","title":"FerriteDistributed.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Non-overlapping distributed grids for Ferrite.jl.","category":"page"},{"location":"","page":"Home","title":"Home","text":"note: Note\nThis package is still experimental and may break!","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing FerriteDistributed\nMPI.Init()\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))","category":"page"},{"location":"","page":"Home","title":"Home","text":"or distribute your own grid","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing Ferrite, FerriteDistributed\nMPI.Init()\ngrid = ...\ndgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())","category":"page"},{"location":"","page":"Home","title":"Home","text":"for more details on the calls please consult the API docs.","category":"page"},{"location":"#Debugging-Information","page":"Home","title":"Debugging Information","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode()","category":"page"},{"location":"","page":"Home","title":"Home","text":"followed by restarting the Julia process. It can be turned off again by calling","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode(enable=false)","category":"page"},{"location":"","page":"Home","title":"Home","text":"also followed by restarting the Julia process.","category":"page"},{"location":"reference/utils/#Utils","page":"Utils","title":"Utils","text":"","category":"section"},{"location":"reference/utils/","page":"Utils","title":"Utils","text":"generate_nod_grid\ncreate_partitioning\ncompute_owner\nvtk_shared_edges\nvtk_shared_faces\nvtk_shared_vertices\nvtk_partitioning","category":"page"},{"location":"reference/utils/#FerriteDistributed.generate_nod_grid","page":"Utils","title":"FerriteDistributed.generate_nod_grid","text":"generate_nod_grid(comm::MPI.Comm, args...)\n\nHelper to directly generate non-overlapping distributed grids, designed to replace the call to generate_grid for use in distributed environments.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.create_partitioning","page":"Utils","title":"FerriteDistributed.create_partitioning","text":"create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}\n\nInternal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.compute_owner","page":"Utils","title":"FerriteDistributed.compute_owner","text":"compute_owner(::AbstractNODGrid, ::SharedEntity)\n\nCompute which rank (1-based index) owns the corresponding entity. \n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_edges","page":"Utils","title":"FerriteDistributed.vtk_shared_edges","text":"Enrich the VTK file with meta information about shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_faces","page":"Utils","title":"FerriteDistributed.vtk_shared_faces","text":"Enrich the VTK file with meta information about shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_vertices","page":"Utils","title":"FerriteDistributed.vtk_shared_vertices","text":"Enrich the VTK file with meta information about shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_partitioning","page":"Utils","title":"FerriteDistributed.vtk_partitioning","text":"Enrich the VTK file with partitioning meta information.\n\n\n\n\n\n","category":"function"}] +} diff --git a/previews/PR28/siteinfo.js b/previews/PR28/siteinfo.js new file mode 100644 index 0000000..dc4e218 --- /dev/null +++ b/previews/PR28/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR28"; diff --git a/previews/PR29/assets/documenter.js b/previews/PR29/assets/documenter.js new file mode 100644 index 0000000..6adfbbb --- /dev/null +++ b/previews/PR29/assets/documenter.js @@ -0,0 +1,331 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-copy"); + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-times"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-times"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function() { + var settings = $('#documenter-settings'); + $('#documenter-settings-button').click(function(){ + settings.toggleClass('is-active'); + }); + // Close the dialog if X is clicked + $('#documenter-settings button.delete').click(function(){ + settings.removeClass('is-active'); + }); + // Close dialog if ESC is pressed + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function() { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button") + sidebar_button.click(function(ev) { + ev.preventDefault(); + sidebar.toggleClass('visible'); + if (sidebar.hasClass('visible')) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind('click', function(ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + }); +}) + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function() { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css('max-width'), 10); + var L0 = e.width(); + if(L0 > L) { + var h0 = parseInt(e.css('font-size'), 10); + e.css('font-size', L * h0 / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on('orientationchange', resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function() { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if(typeof(window.localStorage) !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if(theme !== null) { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = (e.value === theme); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); + DOC_VERSIONS.forEach(function(each) { + var version_url = documenterBaseURL + "/../" + each; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/previews/PR29/assets/search.js b/previews/PR29/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/previews/PR29/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { + +$(document).ready(function() { + // parseUri 1.2.2 + // (c) Steven Levithan + // MIT License + function parseUri (str) { + var o = parseUri.options, + m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + searchform = $('.docs-search'); + sidebar = $('.docs-sidebar'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
              • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + // Disable enter-key form submission for the searchbox on the search page + // and just re-run search rather than refresh the whole page. + searchform.keypress( + function(event){ + if (event.which == '13') { + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + update_search_box(); + event.preventDefault(); + } + } + ); + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/previews/PR29/assets/themes/documenter-dark.css b/previews/PR29/assets/themes/documenter-dark.css new file mode 100644 index 0000000..c94a294 --- /dev/null +++ b/previews/PR29/assets/themes/documenter-dark.css @@ -0,0 +1,7 @@ +@keyframes spinAround{from{transform:rotate(0deg)}to{transform:rotate(359deg)}}html.theme--documenter-dark .tabs,html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link,html.theme--documenter-dark .pagination-ellipsis,html.theme--documenter-dark .breadcrumb,html.theme--documenter-dark .file,html.theme--documenter-dark .button,.is-unselectable,html.theme--documenter-dark .modal-close,html.theme--documenter-dark .delete{-webkit-touch-callout:none;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}html.theme--documenter-dark .navbar-link:not(.is-arrowless)::after,html.theme--documenter-dark .select:not(.is-multiple):not(.is-loading)::after{border:3px solid rgba(0,0,0,0);border-radius:2px;border-right:0;border-top:0;content:" 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kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content 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                Distributed Assembly with HYPRE.jl

                Introduction

                Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

                Commented Program

                Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

                First we load Ferrite, and some other packages we need

                using FerriteDistributed
                +using HYPRE, Metis
                +
                +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
                << @example-block not executed in draft mode >>

                Launch MPI and HYPRE

                MPI.Init()
                +HYPRE.Init()
                << @example-block not executed in draft mode >>

                We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.

                dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                +nothing #hide
                << @example-block not executed in draft mode >>

                Trial and test functions

                Nothing changes here.

                ref = RefHexahedron
                +ip = Lagrange{ref, 2}()
                +ip_geo = Lagrange{ref, 1}()
                +qr = QuadratureRule{ref}(3)
                +cellvalues = CellValues(qr, ip, ip_geo);
                +nothing #hide
                << @example-block not executed in draft mode >>

                Degrees of freedom

                Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

                dh = DofHandler(dgrid)
                +push!(dh, :u, 1, ip)
                +close!(dh);
                +nothing #hide
                << @example-block not executed in draft mode >>

                Boundary conditions

                Nothing has to be changed here either.

                ch = ConstraintHandler(dh);
                +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                +add!(ch, dbc);
                +close!(ch)
                << @example-block not executed in draft mode >>

                Assembling the linear system

                Assembling the system works also mostly analogue.

                function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
                +    n_basefuncs = getnbasefunctions(cellvalues)
                +    Ke = zeros(n_basefuncs, n_basefuncs)
                +    fe = zeros(n_basefuncs)
                << @example-block not executed in draft mode >>

                ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.

                TODO how to put this into an interface?

                    dgrid = getglobalgrid(dh)
                +    comm = global_comm(dgrid)
                +    ldofrange = local_dof_range(dh)
                +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
                +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
                +
                +    assembler = start_assemble(K, f)
                << @example-block not executed in draft mode >>

                For the local assembly nothing changes

                    for cell in CellIterator(dh)
                +        fill!(Ke, 0)
                +        fill!(fe, 0)
                +
                +        reinit!(cellvalues, cell)
                +        coords = getcoordinates(cell)
                +
                +        for q_point in 1:getnquadpoints(cellvalues)
                +            dΩ = getdetJdV(cellvalues, q_point)
                +
                +            for i in 1:n_basefuncs
                +                v  = shape_value(cellvalues, q_point, i)
                +                ∇v = shape_gradient(cellvalues, q_point, i)
                << @example-block not executed in draft mode >>

                Manufactured solution of Π cos(xᵢπ)

                                x = spatial_coordinate(cellvalues, q_point, coords)
                +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                +
                +                for j in 1:n_basefuncs
                +                    ∇u = shape_gradient(cellvalues, q_point, j)
                +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                +                end
                +            end
                +        end
                +
                +        apply_local!(Ke, fe, celldofs(cell), ch)
                << @example-block not executed in draft mode >>

                TODO how to put this into an interface.

                        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
                +    end
                << @example-block not executed in draft mode >>

                Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                    end_assemble(assembler)
                +
                +    return K, f
                +end
                +nothing # hide
                << @example-block not executed in draft mode >>

                Solution of the system

                Again, we assemble our problem. Note that we applied the constraints locally.

                K, f = doassemble(cellvalues, dh, ch);
                +nothing #hide
                << @example-block not executed in draft mode >>

                We use CG with AMG preconditioner to solve the system.

                precond = HYPRE.BoomerAMG()
                +solver = HYPRE.PCG(; Precond = precond)
                +uₕ = HYPRE.solve(solver, K, f)
                << @example-block not executed in draft mode >>

                And convert the solution from HYPRE to Ferrite

                u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
                +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
                << @example-block not executed in draft mode >>

                Exporting via PVTK

                To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

                vtk_grid("heat_equation_distributed", dh) do vtk
                +    vtk_point_data(vtk, dh, u_local)
                << @example-block not executed in draft mode >>

                For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                    vtk_shared_vertices(vtk, dgrid)
                +    vtk_shared_faces(vtk, dgrid)
                +    vtk_partitioning(vtk, dgrid)
                +end
                << @example-block not executed in draft mode >>

                Plain program

                Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.

                using FerriteDistributed
                +using HYPRE, Metis
                +
                +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
                +
                +MPI.Init()
                +HYPRE.Init()
                +
                +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                +
                +ref = RefHexahedron
                +ip = Lagrange{ref, 2}()
                +ip_geo = Lagrange{ref, 1}()
                +qr = QuadratureRule{ref}(3)
                +cellvalues = CellValues(qr, ip, ip_geo);
                +
                +dh = DofHandler(dgrid)
                +push!(dh, :u, 1, ip)
                +close!(dh);
                +
                +ch = ConstraintHandler(dh);
                +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                +add!(ch, dbc);
                +close!(ch)
                +
                +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
                +    n_basefuncs = getnbasefunctions(cellvalues)
                +    Ke = zeros(n_basefuncs, n_basefuncs)
                +    fe = zeros(n_basefuncs)
                +
                +    dgrid = getglobalgrid(dh)
                +    comm = global_comm(dgrid)
                +    ldofrange = local_dof_range(dh)
                +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
                +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
                +
                +    assembler = start_assemble(K, f)
                +
                +    for cell in CellIterator(dh)
                +        fill!(Ke, 0)
                +        fill!(fe, 0)
                +
                +        reinit!(cellvalues, cell)
                +        coords = getcoordinates(cell)
                +
                +        for q_point in 1:getnquadpoints(cellvalues)
                +            dΩ = getdetJdV(cellvalues, q_point)
                +
                +            for i in 1:n_basefuncs
                +                v  = shape_value(cellvalues, q_point, i)
                +                ∇v = shape_gradient(cellvalues, q_point, i)
                +
                +                x = spatial_coordinate(cellvalues, q_point, coords)
                +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                +
                +                for j in 1:n_basefuncs
                +                    ∇u = shape_gradient(cellvalues, q_point, j)
                +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                +                end
                +            end
                +        end
                +
                +        apply_local!(Ke, fe, celldofs(cell), ch)
                +
                +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
                +    end
                +
                +    end_assemble(assembler)
                +
                +    return K, f
                +end
                +
                +K, f = doassemble(cellvalues, dh, ch);
                +
                +precond = HYPRE.BoomerAMG()
                +solver = HYPRE.PCG(; Precond = precond)
                +uₕ = HYPRE.solve(solver, K, f)
                +
                +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
                +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
                +
                +vtk_grid("heat_equation_distributed", dh) do vtk
                +    vtk_point_data(vtk, dh, u_local)
                +
                +    vtk_shared_vertices(vtk, dgrid)
                +    vtk_shared_faces(vtk, dgrid)
                +    vtk_partitioning(vtk, dgrid)
                +end

                This page was generated using Literate.jl.

                diff --git a/previews/PR29/examples/heat_equation_pa.jl b/previews/PR29/examples/heat_equation_pa.jl new file mode 100644 index 0000000..74c6820 --- /dev/null +++ b/previews/PR29/examples/heat_equation_pa.jl @@ -0,0 +1,76 @@ +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +MPI.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + return end_assemble(assembler) +end + +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +u = cg(K, f) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR29/examples/heat_equation_pa/index.html b/previews/PR29/examples/heat_equation_pa/index.html new file mode 100644 index 0000000..4ca6694 --- /dev/null +++ b/previews/PR29/examples/heat_equation_pa/index.html @@ -0,0 +1,123 @@ + +Distributed Assembly with PartitionedArrays.jl · FerriteDistributed.jl

                Distributed Assembly with PartitionedArrays.jl

                Introduction

                Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

                Commented Program

                Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

                First we load Ferrite, and some other packages we need

                using FerriteDistributed
                +using PartitionedArrays, Metis
                +using IterativeSolvers
                << @example-block not executed in draft mode >>

                Launch MPI

                MPI.Init()
                << @example-block not executed in draft mode >>

                We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.

                dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                +nothing #hide
                << @example-block not executed in draft mode >>

                Trial and test functions

                Nothing changes here.

                ref = RefHexahedron
                +ip = Lagrange{ref, 2}()
                +ip_geo = Lagrange{ref, 1}()
                +qr = QuadratureRule{ref}(3)
                +cellvalues = CellValues(qr, ip, ip_geo);
                +nothing #hide
                << @example-block not executed in draft mode >>

                Degrees of freedom

                Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

                dh = DofHandler(dgrid)
                +add!(dh, :u, ip)
                +close!(dh);
                +nothing #hide
                << @example-block not executed in draft mode >>

                Boundary conditions

                Nothing has to be changed here either.

                ch = ConstraintHandler(dh);
                +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                +add!(ch, dbc);
                +close!(ch)
                +update!(ch, 0.0);
                +nothing #hide
                << @example-block not executed in draft mode >>

                Assembling the linear system

                Assembling the system works also mostly analogue. Note that the dof handler type changed.

                function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
                +    n_basefuncs = getnbasefunctions(cellvalues)
                +    Ke = zeros(n_basefuncs, n_basefuncs)
                +    fe = zeros(n_basefuncs)
                << @example-block not executed in draft mode >>

                ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .

                    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
                << @example-block not executed in draft mode >>

                For the local assembly nothing changes

                    for cell in CellIterator(dh)
                +        fill!(Ke, 0)
                +        fill!(fe, 0)
                +
                +        reinit!(cellvalues, cell)
                +        coords = getcoordinates(cell)
                +
                +        for q_point in 1:getnquadpoints(cellvalues)
                +            dΩ = getdetJdV(cellvalues, q_point)
                +
                +            for i in 1:n_basefuncs
                +                v  = shape_value(cellvalues, q_point, i)
                +                ∇v = shape_gradient(cellvalues, q_point, i)
                << @example-block not executed in draft mode >>

                Manufactured solution of Π cos(xᵢπ)

                                x = spatial_coordinate(cellvalues, q_point, coords)
                +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                +
                +                for j in 1:n_basefuncs
                +                    ∇u = shape_gradient(cellvalues, q_point, j)
                +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                +                end
                +            end
                +        end
                << @example-block not executed in draft mode >>

                Note that this call should be communication-free!

                        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
                +    end
                << @example-block not executed in draft mode >>

                Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                    return end_assemble(assembler)
                +end
                +nothing # hide
                << @example-block not executed in draft mode >>

                Solution of the system

                Again, we assemble our problem and apply the constraints as needed.

                K, f = doassemble(cellvalues, dh);
                +apply!(K, f, ch)
                << @example-block not executed in draft mode >>

                To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.

                u = cg(K, f)
                << @example-block not executed in draft mode >>

                Exporting via PVTK

                To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

                vtk_grid("heat_equation_distributed", dh) do vtk
                +    vtk_point_data(vtk, dh, u)
                << @example-block not executed in draft mode >>

                For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                    vtk_shared_vertices(vtk, dgrid)
                +    vtk_shared_faces(vtk, dgrid)
                +    vtk_partitioning(vtk, dgrid)
                +end
                << @example-block not executed in draft mode >>

                Plain program

                Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.

                using FerriteDistributed
                +using PartitionedArrays, Metis
                +using IterativeSolvers
                +
                +MPI.Init()
                +
                +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                +
                +ref = RefHexahedron
                +ip = Lagrange{ref, 2}()
                +ip_geo = Lagrange{ref, 1}()
                +qr = QuadratureRule{ref}(3)
                +cellvalues = CellValues(qr, ip, ip_geo);
                +
                +dh = DofHandler(dgrid)
                +add!(dh, :u, ip)
                +close!(dh);
                +
                +ch = ConstraintHandler(dh);
                +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                +add!(ch, dbc);
                +close!(ch)
                +update!(ch, 0.0);
                +
                +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
                +    n_basefuncs = getnbasefunctions(cellvalues)
                +    Ke = zeros(n_basefuncs, n_basefuncs)
                +    fe = zeros(n_basefuncs)
                +
                +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
                +
                +    for cell in CellIterator(dh)
                +        fill!(Ke, 0)
                +        fill!(fe, 0)
                +
                +        reinit!(cellvalues, cell)
                +        coords = getcoordinates(cell)
                +
                +        for q_point in 1:getnquadpoints(cellvalues)
                +            dΩ = getdetJdV(cellvalues, q_point)
                +
                +            for i in 1:n_basefuncs
                +                v  = shape_value(cellvalues, q_point, i)
                +                ∇v = shape_gradient(cellvalues, q_point, i)
                +
                +                x = spatial_coordinate(cellvalues, q_point, coords)
                +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                +
                +                for j in 1:n_basefuncs
                +                    ∇u = shape_gradient(cellvalues, q_point, j)
                +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                +                end
                +            end
                +        end
                +
                +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
                +    end
                +
                +    return end_assemble(assembler)
                +end
                +
                +K, f = doassemble(cellvalues, dh);
                +apply!(K, f, ch)
                +
                +u = cg(K, f)
                +
                +vtk_grid("heat_equation_distributed", dh) do vtk
                +    vtk_point_data(vtk, dh, u)
                +
                +    vtk_shared_vertices(vtk, dgrid)
                +    vtk_shared_faces(vtk, dgrid)
                +    vtk_partitioning(vtk, dgrid)
                +end

                This page was generated using Literate.jl.

                diff --git a/previews/PR29/index.html b/previews/PR29/index.html new file mode 100644 index 0000000..b30e3df --- /dev/null +++ b/previews/PR29/index.html @@ -0,0 +1,11 @@ + +Home · FerriteDistributed.jl

                FerriteDistributed.jl

                Non-overlapping distributed grids for Ferrite.jl.

                Note

                This package is still experimental and may break!

                Usage

                The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via

                using MPI
                +using FerriteDistributed
                +MPI.Init()
                +dgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))

                or distribute your own grid

                using MPI
                +using Ferrite, FerriteDistributed
                +MPI.Init()
                +grid = ...
                +dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

                for more details on the calls please consult the API docs.

                Debugging Information

                The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

                using Ferrite
                +Ferrite.debug_mode()

                followed by restarting the Julia process. It can be turned off again by calling

                using Ferrite
                +Ferrite.debug_mode(enable=false)

                also followed by restarting the Julia process.

                diff --git a/previews/PR29/literate/heat_equation_hypre.jl b/previews/PR29/literate/heat_equation_hypre.jl new file mode 100644 index 0000000..3f79a04 --- /dev/null +++ b/previews/PR29/literate/heat_equation_hypre.jl @@ -0,0 +1,167 @@ +# # Distributed Assembly with HYPRE.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +# Launch MPI and HYPRE +MPI.Init() +HYPRE.Init() + +# We start generating a simple grid with 10x10x10 hexahedral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + + # TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + # TODO how to put this into an interface. + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + # Finally, for the `HYPREAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + end_assemble(assembler) + + return K, f +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem. Note that we applied the constraints locally. +K, f = doassemble(cellvalues, dh, ch); + +# We use CG with AMG preconditioner to solve the system. +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +# And convert the solution from HYPRE to Ferrite +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-hypre) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_hypre.jl`](distributed_assembly_hypre.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR29/literate/heat_equation_pa.jl b/previews/PR29/literate/heat_equation_pa.jl new file mode 100644 index 0000000..ca31a60 --- /dev/null +++ b/previews/PR29/literate/heat_equation_pa.jl @@ -0,0 +1,156 @@ +# # Distributed Assembly with PartitionedArrays.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +# Launch MPI +MPI.Init() + +# We start generating a simple grid with 20x20 quadrilateral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. Note that the dof handler type changed. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + # NOTE: At the time of writing the only backend available is a COO + # assembly via PartitionedArrays.jl . + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + # Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + # Finally, for the `PartitionedArraysCOOAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + return end_assemble(assembler) +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem and apply the constraints as needed. +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +# To compute the solution we utilize conjugate gradients because at the time of writing +# this is the only available scalable working solver. +# Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, +# partly due to unimplemented multiplication operators for the matrix data type. +u = cg(K, f) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + map(local_values(u)) do u_local #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-pa) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_pa.jl`](distributed_assembly_pa.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR29/reference/grid/index.html b/previews/PR29/reference/grid/index.html new file mode 100644 index 0000000..4f64ebf --- /dev/null +++ b/previews/PR29/reference/grid/index.html @@ -0,0 +1,2 @@ + +NODGrid · FerriteDistributed.jl

                NODGrid

                FerriteDistributed.NODGridType
                NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

                Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

                Todo

                PartitionedArrays.jl ready constructor via extension

                source
                FerriteDistributed.NODGridMethod
                NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

                Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

                source
                FerriteDistributed.NODGridMethod
                NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

                Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

                source
                FerriteDistributed.interface_commFunction
                interface_comm(::AbstractNODGrid)

                Get a graph comminicator handle for the process boundary.

                source
                interface_comm(::NODGrid)

                Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

                source
                FerriteDistributed.global_rankFunction
                global_rank(::AbstractNODGrid)

                Get the 1-based rank of the global communicator of the grid.

                source
                global_rank(::NODGrid)

                Get the rank on the global communicator of the distributed grid.

                source
                FerriteDistributed.global_nranksFunction
                global_nranks(::AbstractNODGrid)

                Get the number of ranks of the global communicator of the grid.

                source
                global_nranks(::NODGrid)

                Get the number of ranks on the global communicator of the distributed grid.

                source
                diff --git a/previews/PR29/reference/interface/index.html b/previews/PR29/reference/interface/index.html new file mode 100644 index 0000000..4527215 --- /dev/null +++ b/previews/PR29/reference/interface/index.html @@ -0,0 +1,2 @@ + +Interface · FerriteDistributed.jl

                Interface

                diff --git a/previews/PR29/reference/utils/index.html b/previews/PR29/reference/utils/index.html new file mode 100644 index 0000000..6dfa288 --- /dev/null +++ b/previews/PR29/reference/utils/index.html @@ -0,0 +1,2 @@ + +Utils · FerriteDistributed.jl

                Utils

                FerriteDistributed.create_partitioningFunction
                create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

                Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

                source
                diff --git a/previews/PR29/search/index.html b/previews/PR29/search/index.html new file mode 100644 index 0000000..2040fd2 --- /dev/null +++ b/previews/PR29/search/index.html @@ -0,0 +1,2 @@ + +Search · FerriteDistributed.jl

                Loading search...

                  diff --git a/previews/PR29/search_index.js b/previews/PR29/search_index.js new file mode 100644 index 0000000..a8e6b24 --- /dev/null +++ b/previews/PR29/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"EditURL = \"../literate/heat_equation_hypre.jl\"","category":"page"},{"location":"examples/heat_equation_hypre/#Distributed-Assembly-with-HYPRE.jl","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"section"},{"location":"examples/heat_equation_hypre/#Introduction","page":"Distributed Assembly with HYPRE.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_hypre/#Commented-Program","page":"Distributed Assembly with HYPRE.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Launch MPI and HYPRE","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"MPI.Init()\nHYPRE.Init()","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Trial-and-test-functions","page":"Distributed Assembly with HYPRE.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Degrees-of-freedom","page":"Distributed Assembly with HYPRE.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Boundary-conditions","page":"Distributed Assembly with HYPRE.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)","category":"page"},{"location":"examples/heat_equation_hypre/#Assembling-the-linear-system","page":"Distributed Assembly with HYPRE.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Assembling the system works also mostly analogue.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface?","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" end_assemble(assembler)\n\n return K, f\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Solution-of-the-system","page":"Distributed Assembly with HYPRE.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Again, we assemble our problem. Note that we applied the constraints locally.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"K, f = doassemble(cellvalues, dh, ch);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We use CG with AMG preconditioner to solve the system.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"precond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"And convert the solution from HYPRE to Ferrite","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)","category":"page"},{"location":"examples/heat_equation_hypre/#Exporting-via-PVTK","page":"Distributed Assembly with HYPRE.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/#distributed-assembly-plain-hypre","page":"Distributed Assembly with HYPRE.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS\n\nMPI.Init()\nHYPRE.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)\n\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n end_assemble(assembler)\n\n return K, f\nend\n\nK, f = doassemble(cellvalues, dh, ch);\n\nprecond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\n\nu_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"EditURL = \"../literate/heat_equation_pa.jl\"","category":"page"},{"location":"examples/heat_equation_pa/#Distributed-Assembly-with-PartitionedArrays.jl","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"section"},{"location":"examples/heat_equation_pa/#Introduction","page":"Distributed Assembly with PartitionedArrays.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_pa/#Commented-Program","page":"Distributed Assembly with PartitionedArrays.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Launch MPI","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"MPI.Init()","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Trial-and-test-functions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Degrees-of-freedom","page":"Distributed Assembly with PartitionedArrays.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Boundary-conditions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Assembling-the-linear-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Assembling the system works also mostly analogue. Note that the dof handler type changed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Note that this call should be communication-free!","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" return end_assemble(assembler)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Solution-of-the-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Again, we assemble our problem and apply the constraints as needed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"K, f = doassemble(cellvalues, dh);\napply!(K, f, ch)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"u = cg(K, f)","category":"page"},{"location":"examples/heat_equation_pa/#Exporting-via-PVTK","page":"Distributed Assembly with PartitionedArrays.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/#distributed-assembly-plain-pa","page":"Distributed Assembly with PartitionedArrays.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers\n\nMPI.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n return end_assemble(assembler)\nend\n\nK, f = doassemble(cellvalues, dh);\napply!(K, f, ch)\n\nu = cg(K, f)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/interface/#Interface","page":"Interface","title":"Interface","text":"","category":"section"},{"location":"reference/interface/","page":"Interface","title":"Interface","text":"get_shared_vertices\nget_shared_vertex\nget_shared_edges\nget_shared_edge\nget_shared_faces\nget_shared_face\nis_shared_vertex\nis_shared_edge\nis_shared_face\ngetlocalgrid","category":"page"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertices","page":"Interface","title":"FerriteDistributed.get_shared_vertices","text":"get_shared_vertices(::AbstractNODGrid)\n\nGet an interable over the shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertex","page":"Interface","title":"FerriteDistributed.get_shared_vertex","text":"get_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nGet the shared vertex associated to the VertexIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edges","page":"Interface","title":"FerriteDistributed.get_shared_edges","text":"getsharededges(::AbstractNODGrid)\n\nGet an interable over the shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edge","page":"Interface","title":"FerriteDistributed.get_shared_edge","text":"get_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nGet the shared edge associated to the EdgeIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_faces","page":"Interface","title":"FerriteDistributed.get_shared_faces","text":"get_shared_faces(::AbstractNODGrid)\n\nGet an interable over the shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_face","page":"Interface","title":"FerriteDistributed.get_shared_face","text":"get_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nGet the shared edge associated to the FaceIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_vertex","page":"Interface","title":"FerriteDistributed.is_shared_vertex","text":"is_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nCheck if a VertexIndex is a shared vertex.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_edge","page":"Interface","title":"FerriteDistributed.is_shared_edge","text":"is_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nCheck if a EdgeIndex is a shared edge.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_face","page":"Interface","title":"FerriteDistributed.is_shared_face","text":"is_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nCheck if a FaceIndex is a shared face.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.getlocalgrid","page":"Interface","title":"FerriteDistributed.getlocalgrid","text":"getlocalgrid(::AbstractNODGrid)\n\nGet the representative local grid containing only a vanilla local grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"CurrentModule = FerriteDistributed\nDocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"reference/grid/#NODGrid","page":"NODGrid","title":"NODGrid","text":"","category":"section"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"NODGrid\nNODGrid(::MPI.Comm, ::Grid)\nNODGrid(::MPI.Comm, ::Grid, ::CoverTopology, ::Vector{Int})\nFerriteDistributed.SharedEntity\nFerriteDistributed.SharedVertex\nFerriteDistributed.SharedFace\nFerriteDistributed.SharedEdge\nFerriteDistributed.remote_entities\nFerriteDistributed.global_comm\nFerriteDistributed.interface_comm\nFerriteDistributed.global_rank\nFerriteDistributed.global_nranks","category":"page"},{"location":"reference/grid/#FerriteDistributed.NODGrid","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}\n\nScalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.\n\ntodo: Todo\nPartitionedArrays.jl ready constructor via extension\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})\n\nConstruct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid, FerriteDistributed.CoverTopology, Vector{Int64}}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})\n\nConstruct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.SharedEntity","page":"NODGrid","title":"FerriteDistributed.SharedEntity","text":"SharedEntity\n\nSupertype for shared entities.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedVertex","page":"NODGrid","title":"FerriteDistributed.SharedVertex","text":"SharedVertex <: SharedEntity\n\nA shared vertex induced by a local vertex index and all remote vertex indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedFace","page":"NODGrid","title":"FerriteDistributed.SharedFace","text":"SharedFace <: SharedEntity\n\nA shared face induced by a local face index and all remote face indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedEdge","page":"NODGrid","title":"FerriteDistributed.SharedEdge","text":"SharedEdge <: SharedEntity\n\nA shared edge induced by a local edge index and all remote edge indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.remote_entities","page":"NODGrid","title":"FerriteDistributed.remote_entities","text":"remote_entities(::SharedEntity)\n\nGet an iterable of pairs, containing the 1-based rank and a collection of EntityIndices on the rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_comm","page":"NODGrid","title":"FerriteDistributed.global_comm","text":"global_comm(::AbstractNODGrid)\n\nGet a communicator handle for the full grid.\n\n\n\n\n\nglobal_comm(::NODGrid)\n\nGlobal dense communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.interface_comm","page":"NODGrid","title":"FerriteDistributed.interface_comm","text":"interface_comm(::AbstractNODGrid)\n\nGet a graph comminicator handle for the process boundary.\n\n\n\n\n\ninterface_comm(::NODGrid)\n\nGraph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_rank","page":"NODGrid","title":"FerriteDistributed.global_rank","text":"global_rank(::AbstractNODGrid)\n\nGet the 1-based rank of the global communicator of the grid.\n\n\n\n\n\nglobal_rank(::NODGrid)\n\nGet the rank on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_nranks","page":"NODGrid","title":"FerriteDistributed.global_nranks","text":"global_nranks(::AbstractNODGrid)\n\nGet the number of ranks of the global communicator of the grid.\n\n\n\n\n\nglobal_nranks(::NODGrid)\n\nGet the number of ranks on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"","page":"Home","title":"Home","text":"DocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"#FerriteDistributed.jl","page":"Home","title":"FerriteDistributed.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Non-overlapping distributed grids for Ferrite.jl.","category":"page"},{"location":"","page":"Home","title":"Home","text":"note: Note\nThis package is still experimental and may break!","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing FerriteDistributed\nMPI.Init()\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))","category":"page"},{"location":"","page":"Home","title":"Home","text":"or distribute your own grid","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing Ferrite, FerriteDistributed\nMPI.Init()\ngrid = ...\ndgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())","category":"page"},{"location":"","page":"Home","title":"Home","text":"for more details on the calls please consult the API docs.","category":"page"},{"location":"#Debugging-Information","page":"Home","title":"Debugging Information","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode()","category":"page"},{"location":"","page":"Home","title":"Home","text":"followed by restarting the Julia process. It can be turned off again by calling","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode(enable=false)","category":"page"},{"location":"","page":"Home","title":"Home","text":"also followed by restarting the Julia process.","category":"page"},{"location":"reference/utils/#Utils","page":"Utils","title":"Utils","text":"","category":"section"},{"location":"reference/utils/","page":"Utils","title":"Utils","text":"generate_nod_grid\ncreate_partitioning\ncompute_owner\nvtk_shared_edges\nvtk_shared_faces\nvtk_shared_vertices\nvtk_partitioning","category":"page"},{"location":"reference/utils/#FerriteDistributed.generate_nod_grid","page":"Utils","title":"FerriteDistributed.generate_nod_grid","text":"generate_nod_grid(comm::MPI.Comm, args...)\n\nHelper to directly generate non-overlapping distributed grids, designed to replace the call to generate_grid for use in distributed environments.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.create_partitioning","page":"Utils","title":"FerriteDistributed.create_partitioning","text":"create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}\n\nInternal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.compute_owner","page":"Utils","title":"FerriteDistributed.compute_owner","text":"compute_owner(::AbstractNODGrid, ::SharedEntity)\n\nCompute which rank (1-based index) owns the corresponding entity. \n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_edges","page":"Utils","title":"FerriteDistributed.vtk_shared_edges","text":"Enrich the VTK file with meta information about shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_faces","page":"Utils","title":"FerriteDistributed.vtk_shared_faces","text":"Enrich the VTK file with meta information about shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_vertices","page":"Utils","title":"FerriteDistributed.vtk_shared_vertices","text":"Enrich the VTK file with meta information about shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_partitioning","page":"Utils","title":"FerriteDistributed.vtk_partitioning","text":"Enrich the VTK file with partitioning meta information.\n\n\n\n\n\n","category":"function"}] +} diff --git a/previews/PR29/siteinfo.js b/previews/PR29/siteinfo.js new file mode 100644 index 0000000..c1bc200 --- /dev/null +++ b/previews/PR29/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR29"; diff --git a/previews/PR30/assets/documenter.js b/previews/PR30/assets/documenter.js new file mode 100644 index 0000000..6adfbbb --- /dev/null +++ b/previews/PR30/assets/documenter.js @@ -0,0 +1,331 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.13.24/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.5.1/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fas", "fa-copy"); + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-times"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-times"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function() { + $('#documenter .docs-navbar').headroom({ + "tolerance": {"up": 10, "down": 10}, + }); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function() { + var settings = $('#documenter-settings'); + $('#documenter-settings-button').click(function(){ + settings.toggleClass('is-active'); + }); + // Close the dialog if X is clicked + $('#documenter-settings button.delete').click(function(){ + settings.removeClass('is-active'); + }); + // Close dialog if ESC is pressed + $(document).keyup(function(e) { + if (e.keyCode == 27) settings.removeClass('is-active'); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function() { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button") + sidebar_button.click(function(ev) { + ev.preventDefault(); + sidebar.toggleClass('visible'); + if (sidebar.hasClass('visible')) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind('click', function(ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + }); +}) + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function() { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css('max-width'), 10); + var L0 = e.width(); + if(L0 > L) { + var h0 = parseInt(e.css('font-size'), 10); + e.css('font-size', L * h0 / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on('orientationchange', resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function() { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if(typeof active !== 'undefined') { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +function set_theme(theme) { + var active = null; + var disabled = []; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + var themename = ss.ownerNode.getAttribute("data-theme-name"); + if(themename === null) continue; // ignore non-theme stylesheets + // Find the active theme + if(themename === theme) active = ss; + else disabled.push(ss); + } + if(active !== null) { + active.disabled = false; + if(active.ownerNode.getAttribute("data-theme-primary") === null) { + document.getElementsByTagName('html')[0].className = "theme--" + theme; + } else { + document.getElementsByTagName('html')[0].className = ""; + } + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + + // Store the theme in localStorage + if(typeof(window.localStorage) !== "undefined") { + window.localStorage.setItem("documenter-theme", theme); + } else { + console.error("Browser does not support window.localStorage"); + } +} + +// Theme picker setup +$(document).ready(function() { + // onchange callback + $('#documenter-themepicker').change(function themepick_callback(ev){ + var themename = $('#documenter-themepicker option:selected').attr('value'); + set_theme(themename); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if(typeof(window.localStorage) !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if(theme !== null) { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = (e.value === theme); + }) + } else { + $('#documenter-themepicker option').each(function(i,e) { + e.selected = $("html").hasClass(`theme--${e.value}`); + }) + } + } +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function() { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if (typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === 'boolean' && DOCUMENTER_VERSION_SELECTOR_DISABLED) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function(x) { + target_href = version_selector_select.children("option:selected").get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if (typeof DOCUMENTER_CURRENT_VERSION !== 'undefined' && $('#version-selector > option').length == 0) { + var option = $(""); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== 'undefined') { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function(i,x){return x.text}); + DOC_VERSIONS.forEach(function(each) { + var version_url = documenterBaseURL + "/../" + each; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $(""); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}) + +}) diff --git a/previews/PR30/assets/search.js b/previews/PR30/assets/search.js new file mode 100644 index 0000000..c133f74 --- /dev/null +++ b/previews/PR30/assets/search.js @@ -0,0 +1,267 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'lunr': 'https://cdnjs.cloudflare.com/ajax/libs/lunr.js/2.3.9/lunr.min', + 'lodash': 'https://cdnjs.cloudflare.com/ajax/libs/lodash.js/4.17.21/lodash.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.6.0/jquery.min', + } +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'lunr', 'lodash'], function($, lunr, _) { + +$(document).ready(function() { + // parseUri 1.2.2 + // (c) Steven Levithan + // MIT License + function parseUri (str) { + var o = parseUri.options, + m = o.parser[o.strictMode ? "strict" : "loose"].exec(str), + uri = {}, + i = 14; + + while (i--) uri[o.key[i]] = m[i] || ""; + + uri[o.q.name] = {}; + uri[o.key[12]].replace(o.q.parser, function ($0, $1, $2) { + if ($1) uri[o.q.name][$1] = $2; + }); + + return uri; + }; + parseUri.options = { + strictMode: false, + key: ["source","protocol","authority","userInfo","user","password","host","port","relative","path","directory","file","query","anchor"], + q: { + name: "queryKey", + parser: /(?:^|&)([^&=]*)=?([^&]*)/g + }, + parser: { + strict: /^(?:([^:\/?#]+):)?(?:\/\/((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?))?((((?:[^?#\/]*\/)*)([^?#]*))(?:\?([^#]*))?(?:#(.*))?)/, + loose: /^(?:(?![^:@]+:[^:@\/]*@)([^:\/?#.]+):)?(?:\/\/)?((?:(([^:@]*)(?::([^:@]*))?)?@)?([^:\/?#]*)(?::(\d*))?)(((\/(?:[^?#](?![^?#\/]*\.[^?#\/.]+(?:[?#]|$)))*\/?)?([^?#\/]*))(?:\?([^#]*))?(?:#(.*))?)/ + } + }; + + $("#search-form").submit(function(e) { + e.preventDefault() + }) + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + lunr.stopWordFilter = lunr.generateStopWordFilter([ + 'a', + 'able', + 'about', + 'across', + 'after', + 'almost', + 'also', + 'am', + 'among', + 'an', + 'and', + 'are', + 'as', + 'at', + 'be', + 'because', + 'been', + 'but', + 'by', + 'can', + 'cannot', + 'could', + 'dear', + 'did', + 'does', + 'either', + 'ever', + 'every', + 'from', + 'got', + 'had', + 'has', + 'have', + 'he', + 'her', + 'hers', + 'him', + 'his', + 'how', + 'however', + 'i', + 'if', + 'into', + 'it', + 'its', + 'just', + 'least', + 'like', + 'likely', + 'may', + 'me', + 'might', + 'most', + 'must', + 'my', + 'neither', + 'no', + 'nor', + 'not', + 'of', + 'off', + 'often', + 'on', + 'or', + 'other', + 'our', + 'own', + 'rather', + 'said', + 'say', + 'says', + 'she', + 'should', + 'since', + 'so', + 'some', + 'than', + 'that', + 'the', + 'their', + 'them', + 'then', + 'there', + 'these', + 'they', + 'this', + 'tis', + 'to', + 'too', + 'twas', + 'us', + 'wants', + 'was', + 'we', + 'were', + 'what', + 'when', + 'who', + 'whom', + 'why', + 'will', + 'would', + 'yet', + 'you', + 'your' + ]) + + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!" + // would not find anything if searching for "add!", only for the entire qualification + lunr.tokenizer.separator = /[\s\-\.]+/ + + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + lunr.trimmer = function (token) { + return token.update(function (s) { + return s.replace(/^[^a-zA-Z0-9@!]+/, '').replace(/[^a-zA-Z0-9@!]+$/, '') + }) + } + + lunr.Pipeline.registerFunction(lunr.stopWordFilter, 'juliaStopWordFilter') + lunr.Pipeline.registerFunction(lunr.trimmer, 'juliaTrimmer') + + var index = lunr(function () { + this.ref('location') + this.field('title',{boost: 100}) + this.field('text') + documenterSearchIndex['docs'].forEach(function(e) { + this.add(e) + }, this) + }) + var store = {} + + documenterSearchIndex['docs'].forEach(function(e) { + store[e.location] = {title: e.title, category: e.category, page: e.page} + }) + + $(function(){ + searchresults = $('#documenter-search-results'); + searchinfo = $('#documenter-search-info'); + searchbox = $('#documenter-search-query'); + searchform = $('.docs-search'); + sidebar = $('.docs-sidebar'); + function update_search(querystring) { + tokens = lunr.tokenizer(querystring) + results = index.query(function (q) { + tokens.forEach(function (t) { + q.term(t.toString(), { + fields: ["title"], + boost: 100, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["title"], + boost: 10, + usePipeline: true, + editDistance: 2, + wildcard: lunr.Query.wildcard.NONE + }) + q.term(t.toString(), { + fields: ["text"], + boost: 1, + usePipeline: true, + editDistance: 0, + wildcard: lunr.Query.wildcard.NONE + }) + }) + }) + searchinfo.text("Number of results: " + results.length) + searchresults.empty() + results.forEach(function(result) { + data = store[result.ref] + link = $(''+data.title+'') + link.attr('href', documenterBaseURL+'/'+result.ref) + if (data.category != "page"){ + cat = $('('+data.category+', '+data.page+')') + } else { + cat = $('('+data.category+')') + } + li = $('
                • ').append(link).append(" ").append(cat) + searchresults.append(li) + }) + } + + function update_search_box() { + querystring = searchbox.val() + update_search(querystring) + } + + searchbox.keyup(_.debounce(update_search_box, 250)) + searchbox.change(update_search_box) + + // Disable enter-key form submission for the searchbox on the search page + // and just re-run search rather than refresh the whole page. + searchform.keypress( + function(event){ + if (event.which == '13') { + if (sidebar.hasClass('visible')) { + sidebar.removeClass('visible'); + } + update_search_box(); + event.preventDefault(); + } + } + ); + + search_query_uri = parseUri(window.location).queryKey["q"] + if(search_query_uri !== undefined) { + search_query = decodeURIComponent(search_query_uri.replace(/\+/g, '%20')) + searchbox.val(search_query) + } + update_search_box(); + }) +}) + +}) diff --git a/previews/PR30/assets/themes/documenter-dark.css b/previews/PR30/assets/themes/documenter-dark.css 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a.navbar-item:hover{background-color:rgba(0,0,0,0);color:#dbdee0}html.theme--documenter-dark .navbar-dropdown a.navbar-item.is-active{background-color:rgba(0,0,0,0);color:#1abc9c}.navbar.is-spaced html.theme--documenter-dark .navbar-dropdown,html.theme--documenter-dark .navbar-dropdown.is-boxed{border-radius:8px;border-top:none;box-shadow:0 8px 8px rgba(10,10,10,0.1), 0 0 0 1px rgba(10,10,10,0.1);display:block;opacity:0;pointer-events:none;top:calc(100% + (-4px));transform:translateY(-5px);transition-duration:86ms;transition-property:opacity, transform}html.theme--documenter-dark .navbar-dropdown.is-right{left:auto;right:0}html.theme--documenter-dark .navbar-divider{display:block}html.theme--documenter-dark .navbar>.container .navbar-brand,html.theme--documenter-dark .container>.navbar .navbar-brand{margin-left:-.75rem}html.theme--documenter-dark .navbar>.container .navbar-menu,html.theme--documenter-dark .container>.navbar .navbar-menu{margin-right:-.75rem}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop,html.theme--documenter-dark .navbar.is-fixed-top-desktop{left:0;position:fixed;right:0;z-index:30}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop{bottom:0}html.theme--documenter-dark .navbar.is-fixed-bottom-desktop.has-shadow{box-shadow:0 -2px 3px rgba(10,10,10,0.1)}html.theme--documenter-dark .navbar.is-fixed-top-desktop{top:0}html.theme--documenter-dark html.has-navbar-fixed-top-desktop,html.theme--documenter-dark body.has-navbar-fixed-top-desktop{padding-top:4rem}html.theme--documenter-dark html.has-navbar-fixed-bottom-desktop,html.theme--documenter-dark body.has-navbar-fixed-bottom-desktop{padding-bottom:4rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-top,html.theme--documenter-dark body.has-spaced-navbar-fixed-top{padding-top:6rem}html.theme--documenter-dark html.has-spaced-navbar-fixed-bottom,html.theme--documenter-dark body.has-spaced-navbar-fixed-bottom{padding-bottom:6rem}html.theme--documenter-dark a.navbar-item.is-active,html.theme--documenter-dark .navbar-link.is-active{color:#1abc9c}html.theme--documenter-dark a.navbar-item.is-active:not(:focus):not(:hover),html.theme--documenter-dark .navbar-link.is-active:not(:focus):not(:hover){background-color:rgba(0,0,0,0)}html.theme--documenter-dark .navbar-item.has-dropdown:focus .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown:hover .navbar-link,html.theme--documenter-dark .navbar-item.has-dropdown.is-active .navbar-link{background-color:rgba(0,0,0,0)}}html.theme--documenter-dark .hero.is-fullheight-with-navbar{min-height:calc(100vh - 4rem)}html.theme--documenter-dark .pagination{font-size:15px;margin:-.25rem}html.theme--documenter-dark .pagination.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.pagination{font-size:.85em}html.theme--documenter-dark .pagination.is-medium{font-size:1.25rem}html.theme--documenter-dark .pagination.is-large{font-size:1.5rem}html.theme--documenter-dark 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.pagination-ellipsis{font-size:1em;justify-content:center;margin:.25rem;padding-left:.5em;padding-right:.5em;text-align:center}html.theme--documenter-dark .pagination-previous,html.theme--documenter-dark .pagination-next,html.theme--documenter-dark .pagination-link{border-color:#5e6d6f;color:#1abc9c;min-width:2.25em}html.theme--documenter-dark .pagination-previous:hover,html.theme--documenter-dark .pagination-next:hover,html.theme--documenter-dark .pagination-link:hover{border-color:#8c9b9d;color:#1dd2af}html.theme--documenter-dark .pagination-previous:focus,html.theme--documenter-dark .pagination-next:focus,html.theme--documenter-dark .pagination-link:focus{border-color:#8c9b9d}html.theme--documenter-dark .pagination-previous:active,html.theme--documenter-dark .pagination-next:active,html.theme--documenter-dark .pagination-link:active{box-shadow:inset 0 1px 2px rgba(10,10,10,0.2)}html.theme--documenter-dark .pagination-previous[disabled],html.theme--documenter-dark 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.panel-block{align-items:center;color:#f2f2f2;display:flex;justify-content:flex-start;padding:0.5em 0.75em}html.theme--documenter-dark .panel-block input[type="checkbox"]{margin-right:0.75em}html.theme--documenter-dark .panel-block>.control{flex-grow:1;flex-shrink:1;width:100%}html.theme--documenter-dark .panel-block.is-wrapped{flex-wrap:wrap}html.theme--documenter-dark .panel-block.is-active{border-left-color:#1abc9c;color:#17a689}html.theme--documenter-dark .panel-block.is-active .panel-icon{color:#1abc9c}html.theme--documenter-dark a.panel-block,html.theme--documenter-dark label.panel-block{cursor:pointer}html.theme--documenter-dark a.panel-block:hover,html.theme--documenter-dark label.panel-block:hover{background-color:#282f2f}html.theme--documenter-dark .panel-icon{display:inline-block;font-size:14px;height:1em;line-height:1em;text-align:center;vertical-align:top;width:1em;color:#fff;margin-right:0.75em}html.theme--documenter-dark .panel-icon 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Gets put into the tag.. +function set_theme_from_local_storage() { + // Intialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if(window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the browser supports user color preference + var darkPreference = false; + // Check if the users preference is for dark color scheme + if(window.matchMedia('(prefers-color-scheme: dark)').matches === true) { + darkPreference = true; + } + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; var disabled = []; var darkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if(themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + var isprimary = (ss.ownerNode.getAttribute("data-theme-primary") !== null); + // Check if the theme is primary dark theme + var isDarkTheme = (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null); + // If ss is for dark theme then set the value of darkTheme to the name of the theme + if(isDarkTheme) darkTheme = themename; + // If we find a matching theme (and it's not the default), we'll set active to non-null + if(themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if(themename !== theme) disabled.push(ss); + } + if(active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName('html')[0].className = "theme--" + theme; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + ss.disabled = true; + }); + } + else if(darkTheme !== null && darkPreference === true) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName('html')[0].className = "theme--" + darkTheme; + // and (2) disable all the other theme stylesheets + disabled.forEach(function(ss){ + if (ss.ownerNode.getAttribute("data-theme-name") !== darkTheme) { + ss.disabled = true; + } + }); + } +} +set_theme_from_local_storage(); diff --git a/previews/PR30/assets/warner.js b/previews/PR30/assets/warner.js new file mode 100644 index 0000000..5531c88 --- /dev/null +++ b/previews/PR30/assets/warner.js @@ -0,0 +1,49 @@ +function maybeAddWarning () { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return + }; + + // Current version is not a version number, so we can't tell if it's the newest version. Abort. + if (!/v(\d+\.)*\d+/.test(window.DOCUMENTER_CURRENT_VERSION)) { + return + }; + + // Current version is newest version, so no need to add a warning. + if (window.DOCUMENTER_NEWEST === window.DOCUMENTER_CURRENT_VERSION) { + return + }; + + // Add a noindex meta tag (unless one exists) so that search engines don't index this version of the docs. + if (document.body.querySelector('meta[name="robots"]') === null) { + const meta = document.createElement('meta'); + meta.name = 'robots'; + meta.content = 'noindex'; + + document.getElementsByTagName('head')[0].appendChild(meta); + }; + + const div = document.createElement('div'); + div.classList.add('outdated-warning-overlay'); + const closer = document.createElement('button'); + closer.classList.add('outdated-warning-closer', 'delete'); + closer.addEventListener('click', function () { + document.body.removeChild(div); + }); + const href = window.documenterBaseURL + '/../' + window.DOCUMENTER_STABLE; + div.innerHTML = 'This documentation is not for the latest stable release, but for either the development version or an older release.
                  Click here to go to the documentation for the latest stable release.'; + div.appendChild(closer); + document.body.appendChild(div); +}; + +if (document.readyState === 'loading') { + document.addEventListener('DOMContentLoaded', maybeAddWarning); +} else { + maybeAddWarning(); +}; diff --git a/previews/PR30/examples/heat_equation_hypre.jl b/previews/PR30/examples/heat_equation_hypre.jl new file mode 100644 index 0000000..d44230a --- /dev/null +++ b/previews/PR30/examples/heat_equation_hypre.jl @@ -0,0 +1,91 @@ +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +MPI.Init() +HYPRE.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + end_assemble(assembler) + + return K, f +end + +K, f = doassemble(cellvalues, dh, ch); + +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR30/examples/heat_equation_hypre/index.html b/previews/PR30/examples/heat_equation_hypre/index.html new file mode 100644 index 0000000..75310ce --- /dev/null +++ b/previews/PR30/examples/heat_equation_hypre/index.html @@ -0,0 +1,151 @@ + +Distributed Assembly with HYPRE.jl · FerriteDistributed.jl

                  Distributed Assembly with HYPRE.jl

                  Introduction

                  Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

                  Commented Program

                  Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

                  First we load Ferrite, and some other packages we need

                  using FerriteDistributed
                  +using HYPRE, Metis
                  +
                  +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
                  << @example-block not executed in draft mode >>

                  Launch MPI and HYPRE

                  MPI.Init()
                  +HYPRE.Init()
                  << @example-block not executed in draft mode >>

                  We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.

                  dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  Trial and test functions

                  Nothing changes here.

                  ref = RefHexahedron
                  +ip = Lagrange{ref, 2}()
                  +ip_geo = Lagrange{ref, 1}()
                  +qr = QuadratureRule{ref}(3)
                  +cellvalues = CellValues(qr, ip, ip_geo);
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  Degrees of freedom

                  Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

                  dh = DofHandler(dgrid)
                  +push!(dh, :u, 1, ip)
                  +close!(dh);
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  Boundary conditions

                  Nothing has to be changed here either.

                  ch = ConstraintHandler(dh);
                  +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                  +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                  +add!(ch, dbc);
                  +close!(ch)
                  << @example-block not executed in draft mode >>

                  Assembling the linear system

                  Assembling the system works also mostly analogue.

                  function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
                  +    n_basefuncs = getnbasefunctions(cellvalues)
                  +    Ke = zeros(n_basefuncs, n_basefuncs)
                  +    fe = zeros(n_basefuncs)
                  << @example-block not executed in draft mode >>

                  ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.

                  TODO how to put this into an interface?

                      dgrid = getglobalgrid(dh)
                  +    comm = global_comm(dgrid)
                  +    ldofrange = local_dof_range(dh)
                  +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
                  +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
                  +
                  +    assembler = start_assemble(K, f)
                  << @example-block not executed in draft mode >>

                  For the local assembly nothing changes

                      for cell in CellIterator(dh)
                  +        fill!(Ke, 0)
                  +        fill!(fe, 0)
                  +
                  +        reinit!(cellvalues, cell)
                  +        coords = getcoordinates(cell)
                  +
                  +        for q_point in 1:getnquadpoints(cellvalues)
                  +            dΩ = getdetJdV(cellvalues, q_point)
                  +
                  +            for i in 1:n_basefuncs
                  +                v  = shape_value(cellvalues, q_point, i)
                  +                ∇v = shape_gradient(cellvalues, q_point, i)
                  << @example-block not executed in draft mode >>

                  Manufactured solution of Π cos(xᵢπ)

                                  x = spatial_coordinate(cellvalues, q_point, coords)
                  +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                  +
                  +                for j in 1:n_basefuncs
                  +                    ∇u = shape_gradient(cellvalues, q_point, j)
                  +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                  +                end
                  +            end
                  +        end
                  +
                  +        apply_local!(Ke, fe, celldofs(cell), ch)
                  << @example-block not executed in draft mode >>

                  TODO how to put this into an interface.

                          assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
                  +    end
                  << @example-block not executed in draft mode >>

                  Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                      end_assemble(assembler)
                  +
                  +    return K, f
                  +end
                  +nothing # hide
                  << @example-block not executed in draft mode >>

                  Solution of the system

                  Again, we assemble our problem. Note that we applied the constraints locally.

                  K, f = doassemble(cellvalues, dh, ch);
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  We use CG with AMG preconditioner to solve the system.

                  precond = HYPRE.BoomerAMG()
                  +solver = HYPRE.PCG(; Precond = precond)
                  +uₕ = HYPRE.solve(solver, K, f)
                  << @example-block not executed in draft mode >>

                  And convert the solution from HYPRE to Ferrite

                  u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
                  +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
                  << @example-block not executed in draft mode >>

                  Exporting via PVTK

                  To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

                  vtk_grid("heat_equation_distributed", dh) do vtk
                  +    vtk_point_data(vtk, dh, u_local)
                  << @example-block not executed in draft mode >>

                  For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                      vtk_shared_vertices(vtk, dgrid)
                  +    vtk_shared_faces(vtk, dgrid)
                  +    vtk_partitioning(vtk, dgrid)
                  +end
                  << @example-block not executed in draft mode >>

                  Plain program

                  Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.

                  using FerriteDistributed
                  +using HYPRE, Metis
                  +
                  +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
                  +
                  +MPI.Init()
                  +HYPRE.Init()
                  +
                  +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                  +
                  +ref = RefHexahedron
                  +ip = Lagrange{ref, 2}()
                  +ip_geo = Lagrange{ref, 1}()
                  +qr = QuadratureRule{ref}(3)
                  +cellvalues = CellValues(qr, ip, ip_geo);
                  +
                  +dh = DofHandler(dgrid)
                  +push!(dh, :u, 1, ip)
                  +close!(dh);
                  +
                  +ch = ConstraintHandler(dh);
                  +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                  +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                  +add!(ch, dbc);
                  +close!(ch)
                  +
                  +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}
                  +    n_basefuncs = getnbasefunctions(cellvalues)
                  +    Ke = zeros(n_basefuncs, n_basefuncs)
                  +    fe = zeros(n_basefuncs)
                  +
                  +    dgrid = getglobalgrid(dh)
                  +    comm = global_comm(dgrid)
                  +    ldofrange = local_dof_range(dh)
                  +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
                  +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
                  +
                  +    assembler = start_assemble(K, f)
                  +
                  +    for cell in CellIterator(dh)
                  +        fill!(Ke, 0)
                  +        fill!(fe, 0)
                  +
                  +        reinit!(cellvalues, cell)
                  +        coords = getcoordinates(cell)
                  +
                  +        for q_point in 1:getnquadpoints(cellvalues)
                  +            dΩ = getdetJdV(cellvalues, q_point)
                  +
                  +            for i in 1:n_basefuncs
                  +                v  = shape_value(cellvalues, q_point, i)
                  +                ∇v = shape_gradient(cellvalues, q_point, i)
                  +
                  +                x = spatial_coordinate(cellvalues, q_point, coords)
                  +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                  +
                  +                for j in 1:n_basefuncs
                  +                    ∇u = shape_gradient(cellvalues, q_point, j)
                  +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                  +                end
                  +            end
                  +        end
                  +
                  +        apply_local!(Ke, fe, celldofs(cell), ch)
                  +
                  +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
                  +    end
                  +
                  +    end_assemble(assembler)
                  +
                  +    return K, f
                  +end
                  +
                  +K, f = doassemble(cellvalues, dh, ch);
                  +
                  +precond = HYPRE.BoomerAMG()
                  +solver = HYPRE.PCG(; Precond = precond)
                  +uₕ = HYPRE.solve(solver, K, f)
                  +
                  +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
                  +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
                  +
                  +vtk_grid("heat_equation_distributed", dh) do vtk
                  +    vtk_point_data(vtk, dh, u_local)
                  +
                  +    vtk_shared_vertices(vtk, dgrid)
                  +    vtk_shared_faces(vtk, dgrid)
                  +    vtk_partitioning(vtk, dgrid)
                  +end

                  This page was generated using Literate.jl.

                  diff --git a/previews/PR30/examples/heat_equation_pa.jl b/previews/PR30/examples/heat_equation_pa.jl new file mode 100644 index 0000000..74c6820 --- /dev/null +++ b/previews/PR30/examples/heat_equation_pa.jl @@ -0,0 +1,76 @@ +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +MPI.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + return end_assemble(assembler) +end + +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +u = cg(K, f) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR30/examples/heat_equation_pa/index.html b/previews/PR30/examples/heat_equation_pa/index.html new file mode 100644 index 0000000..5c6286e --- /dev/null +++ b/previews/PR30/examples/heat_equation_pa/index.html @@ -0,0 +1,123 @@ + +Distributed Assembly with PartitionedArrays.jl · FerriteDistributed.jl

                  Distributed Assembly with PartitionedArrays.jl

                  Introduction

                  Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

                  Commented Program

                  Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

                  First we load Ferrite, and some other packages we need

                  using FerriteDistributed
                  +using PartitionedArrays, Metis
                  +using IterativeSolvers
                  << @example-block not executed in draft mode >>

                  Launch MPI

                  MPI.Init()
                  << @example-block not executed in draft mode >>

                  We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.

                  dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  Trial and test functions

                  Nothing changes here.

                  ref = RefHexahedron
                  +ip = Lagrange{ref, 2}()
                  +ip_geo = Lagrange{ref, 1}()
                  +qr = QuadratureRule{ref}(3)
                  +cellvalues = CellValues(qr, ip, ip_geo);
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  Degrees of freedom

                  Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

                  dh = DofHandler(dgrid)
                  +add!(dh, :u, ip)
                  +close!(dh);
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  Boundary conditions

                  Nothing has to be changed here either.

                  ch = ConstraintHandler(dh);
                  +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                  +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                  +add!(ch, dbc);
                  +close!(ch)
                  +update!(ch, 0.0);
                  +nothing #hide
                  << @example-block not executed in draft mode >>

                  Assembling the linear system

                  Assembling the system works also mostly analogue. Note that the dof handler type changed.

                  function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
                  +    n_basefuncs = getnbasefunctions(cellvalues)
                  +    Ke = zeros(n_basefuncs, n_basefuncs)
                  +    fe = zeros(n_basefuncs)
                  << @example-block not executed in draft mode >>

                  ––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .

                      assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
                  << @example-block not executed in draft mode >>

                  For the local assembly nothing changes

                      for cell in CellIterator(dh)
                  +        fill!(Ke, 0)
                  +        fill!(fe, 0)
                  +
                  +        reinit!(cellvalues, cell)
                  +        coords = getcoordinates(cell)
                  +
                  +        for q_point in 1:getnquadpoints(cellvalues)
                  +            dΩ = getdetJdV(cellvalues, q_point)
                  +
                  +            for i in 1:n_basefuncs
                  +                v  = shape_value(cellvalues, q_point, i)
                  +                ∇v = shape_gradient(cellvalues, q_point, i)
                  << @example-block not executed in draft mode >>

                  Manufactured solution of Π cos(xᵢπ)

                                  x = spatial_coordinate(cellvalues, q_point, coords)
                  +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                  +
                  +                for j in 1:n_basefuncs
                  +                    ∇u = shape_gradient(cellvalues, q_point, j)
                  +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                  +                end
                  +            end
                  +        end
                  << @example-block not executed in draft mode >>

                  Note that this call should be communication-free!

                          Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
                  +    end
                  << @example-block not executed in draft mode >>

                  Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.

                      return end_assemble(assembler)
                  +end
                  +nothing # hide
                  << @example-block not executed in draft mode >>

                  Solution of the system

                  Again, we assemble our problem and apply the constraints as needed.

                  K, f = doassemble(cellvalues, dh);
                  +apply!(K, f, ch)
                  << @example-block not executed in draft mode >>

                  To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.

                  u = cg(K, f)
                  << @example-block not executed in draft mode >>

                  Exporting via PVTK

                  To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.

                  vtk_grid("heat_equation_distributed", dh) do vtk
                  +    vtk_point_data(vtk, dh, u)
                  << @example-block not executed in draft mode >>

                  For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning

                      vtk_shared_vertices(vtk, dgrid)
                  +    vtk_shared_faces(vtk, dgrid)
                  +    vtk_partitioning(vtk, dgrid)
                  +end
                  << @example-block not executed in draft mode >>

                  Plain program

                  Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.

                  using FerriteDistributed
                  +using PartitionedArrays, Metis
                  +using IterativeSolvers
                  +
                  +MPI.Init()
                  +
                  +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));
                  +
                  +ref = RefHexahedron
                  +ip = Lagrange{ref, 2}()
                  +ip_geo = Lagrange{ref, 1}()
                  +qr = QuadratureRule{ref}(3)
                  +cellvalues = CellValues(qr, ip, ip_geo);
                  +
                  +dh = DofHandler(dgrid)
                  +add!(dh, :u, ip)
                  +close!(dh);
                  +
                  +ch = ConstraintHandler(dh);
                  +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                  +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                  +add!(ch, dbc);
                  +close!(ch)
                  +update!(ch, 0.0);
                  +
                  +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
                  +    n_basefuncs = getnbasefunctions(cellvalues)
                  +    Ke = zeros(n_basefuncs, n_basefuncs)
                  +    fe = zeros(n_basefuncs)
                  +
                  +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
                  +
                  +    for cell in CellIterator(dh)
                  +        fill!(Ke, 0)
                  +        fill!(fe, 0)
                  +
                  +        reinit!(cellvalues, cell)
                  +        coords = getcoordinates(cell)
                  +
                  +        for q_point in 1:getnquadpoints(cellvalues)
                  +            dΩ = getdetJdV(cellvalues, q_point)
                  +
                  +            for i in 1:n_basefuncs
                  +                v  = shape_value(cellvalues, q_point, i)
                  +                ∇v = shape_gradient(cellvalues, q_point, i)
                  +
                  +                x = spatial_coordinate(cellvalues, q_point, coords)
                  +                fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                  +
                  +                for j in 1:n_basefuncs
                  +                    ∇u = shape_gradient(cellvalues, q_point, j)
                  +                    Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                  +                end
                  +            end
                  +        end
                  +
                  +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
                  +    end
                  +
                  +    return end_assemble(assembler)
                  +end
                  +
                  +K, f = doassemble(cellvalues, dh);
                  +apply!(K, f, ch)
                  +
                  +u = cg(K, f)
                  +
                  +vtk_grid("heat_equation_distributed", dh) do vtk
                  +    vtk_point_data(vtk, dh, u)
                  +
                  +    vtk_shared_vertices(vtk, dgrid)
                  +    vtk_shared_faces(vtk, dgrid)
                  +    vtk_partitioning(vtk, dgrid)
                  +end

                  This page was generated using Literate.jl.

                  diff --git a/previews/PR30/index.html b/previews/PR30/index.html new file mode 100644 index 0000000..b954834 --- /dev/null +++ b/previews/PR30/index.html @@ -0,0 +1,11 @@ + +Home · FerriteDistributed.jl

                  FerriteDistributed.jl

                  Non-overlapping distributed grids for Ferrite.jl.

                  Note

                  This package is still experimental and may break!

                  Usage

                  The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via

                  using MPI
                  +using FerriteDistributed
                  +MPI.Init()
                  +dgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))

                  or distribute your own grid

                  using MPI
                  +using Ferrite, FerriteDistributed
                  +MPI.Init()
                  +grid = ...
                  +dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

                  for more details on the calls please consult the API docs.

                  Debugging Information

                  The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

                  using Ferrite
                  +Ferrite.debug_mode()

                  followed by restarting the Julia process. It can be turned off again by calling

                  using Ferrite
                  +Ferrite.debug_mode(enable=false)

                  also followed by restarting the Julia process.

                  diff --git a/previews/PR30/literate/heat_equation_hypre.jl b/previews/PR30/literate/heat_equation_hypre.jl new file mode 100644 index 0000000..3f79a04 --- /dev/null +++ b/previews/PR30/literate/heat_equation_hypre.jl @@ -0,0 +1,167 @@ +# # Distributed Assembly with HYPRE.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +# Launch MPI and HYPRE +MPI.Init() +HYPRE.Init() + +# We start generating a simple grid with 10x10x10 hexahedral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + + # TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + + assembler = start_assemble(K, f) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + apply_local!(Ke, fe, celldofs(cell), ch) + + # TODO how to put this into an interface. + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + # Finally, for the `HYPREAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + end_assemble(assembler) + + return K, f +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem. Note that we applied the constraints locally. +K, f = doassemble(cellvalues, dh, ch); + +# We use CG with AMG preconditioner to solve the system. +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +# And convert the solution from HYPRE to Ferrite +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-hypre) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_hypre.jl`](distributed_assembly_hypre.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR30/literate/heat_equation_pa.jl b/previews/PR30/literate/heat_equation_pa.jl new file mode 100644 index 0000000..ca31a60 --- /dev/null +++ b/previews/PR30/literate/heat_equation_pa.jl @@ -0,0 +1,156 @@ +# # Distributed Assembly with PartitionedArrays.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +# Launch MPI +MPI.Init() + +# We start generating a simple grid with 20x20 quadrilateral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)); + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo); + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh); + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc); +close!(ch) +update!(ch, 0.0); + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. Note that the dof handler type changed. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # --------------------- Distributed assembly -------------------- + # The synchronization with the global sparse matrix is handled by + # an assembler again. You can choose from different backends, which + # are described in the docs and will be expaned over time. This call + # may trigger a large amount of communication. + # NOTE: At the time of writing the only backend available is a COO + # assembly via PartitionedArrays.jl . + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + + reinit!(cellvalues, cell) + coords = getcoordinates(cell) + + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end + + # Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + # Finally, for the `PartitionedArraysCOOAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + return end_assemble(assembler) +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem and apply the constraints as needed. +K, f = doassemble(cellvalues, dh); +apply!(K, f, ch) + +# To compute the solution we utilize conjugate gradients because at the time of writing +# this is the only available scalable working solver. +# Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, +# partly due to unimplemented multiplication operators for the matrix data type. +u = cg(K, f) + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + # For debugging purposes it can be helpful to enrich + # the visualization with some meta information about + # the grid and its partitioning + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + map(local_values(u)) do u_local #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-pa) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_pa.jl`](distributed_assembly_pa.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR30/reference/grid/index.html b/previews/PR30/reference/grid/index.html new file mode 100644 index 0000000..226ed7c --- /dev/null +++ b/previews/PR30/reference/grid/index.html @@ -0,0 +1,2 @@ + +NODGrid · FerriteDistributed.jl

                  NODGrid

                  FerriteDistributed.NODGridType
                  NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

                  Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

                  Todo

                  PartitionedArrays.jl ready constructor via extension

                  source
                  FerriteDistributed.NODGridMethod
                  NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

                  Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

                  source
                  FerriteDistributed.NODGridMethod
                  NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

                  Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

                  source
                  FerriteDistributed.interface_commFunction
                  interface_comm(::AbstractNODGrid)

                  Get a graph comminicator handle for the process boundary.

                  source
                  interface_comm(::NODGrid)

                  Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

                  source
                  FerriteDistributed.global_rankFunction
                  global_rank(::AbstractNODGrid)

                  Get the 1-based rank of the global communicator of the grid.

                  source
                  global_rank(::NODGrid)

                  Get the rank on the global communicator of the distributed grid.

                  source
                  FerriteDistributed.global_nranksFunction
                  global_nranks(::AbstractNODGrid)

                  Get the number of ranks of the global communicator of the grid.

                  source
                  global_nranks(::NODGrid)

                  Get the number of ranks on the global communicator of the distributed grid.

                  source
                  diff --git a/previews/PR30/reference/interface/index.html b/previews/PR30/reference/interface/index.html new file mode 100644 index 0000000..ec79755 --- /dev/null +++ b/previews/PR30/reference/interface/index.html @@ -0,0 +1,2 @@ + +Interface · FerriteDistributed.jl

                  Interface

                  diff --git a/previews/PR30/reference/utils/index.html b/previews/PR30/reference/utils/index.html new file mode 100644 index 0000000..bdfa8b2 --- /dev/null +++ b/previews/PR30/reference/utils/index.html @@ -0,0 +1,2 @@ + +Utils · FerriteDistributed.jl

                  Utils

                  FerriteDistributed.create_partitioningFunction
                  create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

                  Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

                  source
                  diff --git a/previews/PR30/search/index.html b/previews/PR30/search/index.html new file mode 100644 index 0000000..4f429e3 --- /dev/null +++ b/previews/PR30/search/index.html @@ -0,0 +1,2 @@ + +Search · FerriteDistributed.jl

                  Loading search...

                    diff --git a/previews/PR30/search_index.js b/previews/PR30/search_index.js new file mode 100644 index 0000000..a8e6b24 --- /dev/null +++ b/previews/PR30/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"EditURL = \"../literate/heat_equation_hypre.jl\"","category":"page"},{"location":"examples/heat_equation_hypre/#Distributed-Assembly-with-HYPRE.jl","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"section"},{"location":"examples/heat_equation_hypre/#Introduction","page":"Distributed Assembly with HYPRE.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_hypre/#Commented-Program","page":"Distributed Assembly with HYPRE.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Launch MPI and HYPRE","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"MPI.Init()\nHYPRE.Init()","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Trial-and-test-functions","page":"Distributed Assembly with HYPRE.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Degrees-of-freedom","page":"Distributed Assembly with HYPRE.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/#Boundary-conditions","page":"Distributed Assembly with HYPRE.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)","category":"page"},{"location":"examples/heat_equation_hypre/#Assembling-the-linear-system","page":"Distributed Assembly with HYPRE.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Assembling the system works also mostly analogue.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface?","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"TODO how to put this into an interface.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Finally, for the HYPREAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" end_assemble(assembler)\n\n return K, f\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Solution-of-the-system","page":"Distributed Assembly with HYPRE.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Again, we assemble our problem. Note that we applied the constraints locally.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"K, f = doassemble(cellvalues, dh, ch);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We use CG with AMG preconditioner to solve the system.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"precond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"And convert the solution from HYPRE to Ferrite","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)","category":"page"},{"location":"examples/heat_equation_hypre/#Exporting-via-PVTK","page":"Distributed Assembly with HYPRE.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/#distributed-assembly-plain-hypre","page":"Distributed Assembly with HYPRE.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS\n\nMPI.Init()\nHYPRE.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}, ch::ConstraintHandler) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n\n assembler = start_assemble(K, f)\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n apply_local!(Ke, fe, celldofs(cell), ch)\n\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n end_assemble(assembler)\n\n return K, f\nend\n\nK, f = doassemble(cellvalues, dh, ch);\n\nprecond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\n\nu_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"EditURL = \"../literate/heat_equation_pa.jl\"","category":"page"},{"location":"examples/heat_equation_pa/#Distributed-Assembly-with-PartitionedArrays.jl","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"section"},{"location":"examples/heat_equation_pa/#Introduction","page":"Distributed Assembly with PartitionedArrays.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_pa/#Commented-Program","page":"Distributed Assembly with PartitionedArrays.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Launch MPI","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"MPI.Init()","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Trial-and-test-functions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Degrees-of-freedom","page":"Distributed Assembly with PartitionedArrays.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Boundary-conditions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\nnothing #hide","category":"page"},{"location":"examples/heat_equation_pa/#Assembling-the-linear-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Assembling the system works also mostly analogue. Note that the dof handler type changed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"––––––––––- Distributed assembly –––––––––– The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl .","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For the local assembly nothing changes","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Manufactured solution of Π cos(xᵢπ)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Note that this call should be communication-free!","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Finally, for the PartitionedArraysCOOAssembler we have to call end_assemble to construct the global sparse matrix and the global right hand side vector.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" return end_assemble(assembler)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Solution-of-the-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Again, we assemble our problem and apply the constraints as needed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"K, f = doassemble(cellvalues, dh);\napply!(K, f, ch)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"u = cg(K, f)","category":"page"},{"location":"examples/heat_equation_pa/#Exporting-via-PVTK","page":"Distributed Assembly with PartitionedArrays.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":" vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/#distributed-assembly-plain-pa","page":"Distributed Assembly with PartitionedArrays.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers\n\nMPI.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE));\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo);\n\ndh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh);\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc);\nclose!(ch)\nupdate!(ch, 0.0);\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n\n reinit!(cellvalues, cell)\n coords = getcoordinates(cell)\n\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n\n x = spatial_coordinate(cellvalues, q_point, coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\n\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n return end_assemble(assembler)\nend\n\nK, f = doassemble(cellvalues, dh);\napply!(K, f, ch)\n\nu = cg(K, f)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/interface/#Interface","page":"Interface","title":"Interface","text":"","category":"section"},{"location":"reference/interface/","page":"Interface","title":"Interface","text":"get_shared_vertices\nget_shared_vertex\nget_shared_edges\nget_shared_edge\nget_shared_faces\nget_shared_face\nis_shared_vertex\nis_shared_edge\nis_shared_face\ngetlocalgrid","category":"page"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertices","page":"Interface","title":"FerriteDistributed.get_shared_vertices","text":"get_shared_vertices(::AbstractNODGrid)\n\nGet an interable over the shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertex","page":"Interface","title":"FerriteDistributed.get_shared_vertex","text":"get_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nGet the shared vertex associated to the VertexIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edges","page":"Interface","title":"FerriteDistributed.get_shared_edges","text":"getsharededges(::AbstractNODGrid)\n\nGet an interable over the shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edge","page":"Interface","title":"FerriteDistributed.get_shared_edge","text":"get_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nGet the shared edge associated to the EdgeIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_faces","page":"Interface","title":"FerriteDistributed.get_shared_faces","text":"get_shared_faces(::AbstractNODGrid)\n\nGet an interable over the shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_face","page":"Interface","title":"FerriteDistributed.get_shared_face","text":"get_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nGet the shared edge associated to the FaceIndex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_vertex","page":"Interface","title":"FerriteDistributed.is_shared_vertex","text":"is_shared_vertex(::AbstractNODGrid, ::VertexIndex)\n\nCheck if a VertexIndex is a shared vertex.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_edge","page":"Interface","title":"FerriteDistributed.is_shared_edge","text":"is_shared_edge(::AbstractNODGrid, ::EdgeIndex)\n\nCheck if a EdgeIndex is a shared edge.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_face","page":"Interface","title":"FerriteDistributed.is_shared_face","text":"is_shared_face(::AbstractNODGrid, ::FaceIndex)\n\nCheck if a FaceIndex is a shared face.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.getlocalgrid","page":"Interface","title":"FerriteDistributed.getlocalgrid","text":"getlocalgrid(::AbstractNODGrid)\n\nGet the representative local grid containing only a vanilla local grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"CurrentModule = FerriteDistributed\nDocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"reference/grid/#NODGrid","page":"NODGrid","title":"NODGrid","text":"","category":"section"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"NODGrid\nNODGrid(::MPI.Comm, ::Grid)\nNODGrid(::MPI.Comm, ::Grid, ::CoverTopology, ::Vector{Int})\nFerriteDistributed.SharedEntity\nFerriteDistributed.SharedVertex\nFerriteDistributed.SharedFace\nFerriteDistributed.SharedEdge\nFerriteDistributed.remote_entities\nFerriteDistributed.global_comm\nFerriteDistributed.interface_comm\nFerriteDistributed.global_rank\nFerriteDistributed.global_nranks","category":"page"},{"location":"reference/grid/#FerriteDistributed.NODGrid","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}\n\nScalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.\n\ntodo: Todo\nPartitionedArrays.jl ready constructor via extension\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})\n\nConstruct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid, FerriteDistributed.CoverTopology, Vector{Int64}}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})\n\nConstruct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.SharedEntity","page":"NODGrid","title":"FerriteDistributed.SharedEntity","text":"SharedEntity\n\nSupertype for shared entities.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedVertex","page":"NODGrid","title":"FerriteDistributed.SharedVertex","text":"SharedVertex <: SharedEntity\n\nA shared vertex induced by a local vertex index and all remote vertex indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedFace","page":"NODGrid","title":"FerriteDistributed.SharedFace","text":"SharedFace <: SharedEntity\n\nA shared face induced by a local face index and all remote face indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedEdge","page":"NODGrid","title":"FerriteDistributed.SharedEdge","text":"SharedEdge <: SharedEntity\n\nA shared edge induced by a local edge index and all remote edge indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.remote_entities","page":"NODGrid","title":"FerriteDistributed.remote_entities","text":"remote_entities(::SharedEntity)\n\nGet an iterable of pairs, containing the 1-based rank and a collection of EntityIndices on the rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_comm","page":"NODGrid","title":"FerriteDistributed.global_comm","text":"global_comm(::AbstractNODGrid)\n\nGet a communicator handle for the full grid.\n\n\n\n\n\nglobal_comm(::NODGrid)\n\nGlobal dense communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.interface_comm","page":"NODGrid","title":"FerriteDistributed.interface_comm","text":"interface_comm(::AbstractNODGrid)\n\nGet a graph comminicator handle for the process boundary.\n\n\n\n\n\ninterface_comm(::NODGrid)\n\nGraph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_rank","page":"NODGrid","title":"FerriteDistributed.global_rank","text":"global_rank(::AbstractNODGrid)\n\nGet the 1-based rank of the global communicator of the grid.\n\n\n\n\n\nglobal_rank(::NODGrid)\n\nGet the rank on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_nranks","page":"NODGrid","title":"FerriteDistributed.global_nranks","text":"global_nranks(::AbstractNODGrid)\n\nGet the number of ranks of the global communicator of the grid.\n\n\n\n\n\nglobal_nranks(::NODGrid)\n\nGet the number of ranks on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"","page":"Home","title":"Home","text":"DocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"#FerriteDistributed.jl","page":"Home","title":"FerriteDistributed.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Non-overlapping distributed grids for Ferrite.jl.","category":"page"},{"location":"","page":"Home","title":"Home","text":"note: Note\nThis package is still experimental and may break!","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing FerriteDistributed\nMPI.Init()\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))","category":"page"},{"location":"","page":"Home","title":"Home","text":"or distribute your own grid","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing Ferrite, FerriteDistributed\nMPI.Init()\ngrid = ...\ndgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())","category":"page"},{"location":"","page":"Home","title":"Home","text":"for more details on the calls please consult the API docs.","category":"page"},{"location":"#Debugging-Information","page":"Home","title":"Debugging Information","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode()","category":"page"},{"location":"","page":"Home","title":"Home","text":"followed by restarting the Julia process. It can be turned off again by calling","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode(enable=false)","category":"page"},{"location":"","page":"Home","title":"Home","text":"also followed by restarting the Julia process.","category":"page"},{"location":"reference/utils/#Utils","page":"Utils","title":"Utils","text":"","category":"section"},{"location":"reference/utils/","page":"Utils","title":"Utils","text":"generate_nod_grid\ncreate_partitioning\ncompute_owner\nvtk_shared_edges\nvtk_shared_faces\nvtk_shared_vertices\nvtk_partitioning","category":"page"},{"location":"reference/utils/#FerriteDistributed.generate_nod_grid","page":"Utils","title":"FerriteDistributed.generate_nod_grid","text":"generate_nod_grid(comm::MPI.Comm, args...)\n\nHelper to directly generate non-overlapping distributed grids, designed to replace the call to generate_grid for use in distributed environments.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.create_partitioning","page":"Utils","title":"FerriteDistributed.create_partitioning","text":"create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}\n\nInternal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.compute_owner","page":"Utils","title":"FerriteDistributed.compute_owner","text":"compute_owner(::AbstractNODGrid, ::SharedEntity)\n\nCompute which rank (1-based index) owns the corresponding entity. \n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_edges","page":"Utils","title":"FerriteDistributed.vtk_shared_edges","text":"Enrich the VTK file with meta information about shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_faces","page":"Utils","title":"FerriteDistributed.vtk_shared_faces","text":"Enrich the VTK file with meta information about shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_vertices","page":"Utils","title":"FerriteDistributed.vtk_shared_vertices","text":"Enrich the VTK file with meta information about shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_partitioning","page":"Utils","title":"FerriteDistributed.vtk_partitioning","text":"Enrich the VTK file with partitioning meta information.\n\n\n\n\n\n","category":"function"}] +} diff --git a/previews/PR30/siteinfo.js b/previews/PR30/siteinfo.js new file mode 100644 index 0000000..2094867 --- /dev/null +++ b/previews/PR30/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR30"; diff --git a/previews/PR39/.documenter-siteinfo.json b/previews/PR39/.documenter-siteinfo.json new file mode 100644 index 0000000..6935818 --- /dev/null +++ b/previews/PR39/.documenter-siteinfo.json @@ -0,0 +1 @@ +{"documenter":{"julia_version":"1.9.4","generation_timestamp":"2024-05-06T15:47:16","documenter_version":"1.4.1"}} \ No newline at end of file diff --git a/previews/PR39/assets/documenter.js b/previews/PR39/assets/documenter.js new file mode 100644 index 0000000..c6562b5 --- /dev/null +++ b/previews/PR39/assets/documenter.js @@ -0,0 +1,1050 @@ +// Generated by Documenter.jl +requirejs.config({ + paths: { + 'highlight-julia': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia.min', + 'headroom': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/headroom.min', + 'jqueryui': 'https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.13.2/jquery-ui.min', + 'katex-auto-render': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/contrib/auto-render.min', + 'jquery': 'https://cdnjs.cloudflare.com/ajax/libs/jquery/3.7.0/jquery.min', + 'headroom-jquery': 'https://cdnjs.cloudflare.com/ajax/libs/headroom/0.12.0/jQuery.headroom.min', + 'katex': 'https://cdnjs.cloudflare.com/ajax/libs/KaTeX/0.16.8/katex.min', + 'highlight': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/highlight.min', + 'highlight-julia-repl': 'https://cdnjs.cloudflare.com/ajax/libs/highlight.js/11.8.0/languages/julia-repl.min', + }, + shim: { + "highlight-julia": { + "deps": [ + "highlight" + ] + }, + "katex-auto-render": { + "deps": [ + "katex" + ] + }, + "headroom-jquery": { + "deps": [ + "jquery", + "headroom" + ] + }, + "highlight-julia-repl": { + "deps": [ + "highlight" + ] + } +} +}); +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'katex', 'katex-auto-render'], function($, katex, renderMathInElement) { +$(document).ready(function() { + renderMathInElement( + document.body, + { + "delimiters": [ + { + "left": "$", + "right": "$", + "display": false + }, + { + "left": "$$", + "right": "$$", + "display": true + }, + { + "left": "\\[", + "right": "\\]", + "display": true + } + ] +} + + ); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'highlight', 'highlight-julia', 'highlight-julia-repl'], function($) { +$(document).ready(function() { + hljs.highlightAll(); +}) + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +let timer = 0; +var isExpanded = true; + +$(document).on("click", ".docstring header", function () { + let articleToggleTitle = "Expand docstring"; + + debounce(() => { + if ($(this).siblings("section").is(":visible")) { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + } else { + $(this) + .find(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + articleToggleTitle = "Collapse docstring"; + } + + $(this) + .find(".docstring-article-toggle-button") + .prop("title", articleToggleTitle); + $(this).siblings("section").slideToggle(); + }); +}); + +$(document).on("click", ".docs-article-toggle-button", function (event) { + let articleToggleTitle = "Expand docstring"; + let navArticleToggleTitle = "Expand all docstrings"; + let animationSpeed = event.noToggleAnimation ? 0 : 400; + + debounce(() => { + if (isExpanded) { + $(this).removeClass("fa-chevron-up").addClass("fa-chevron-down"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-down") + .addClass("fa-chevron-right"); + + isExpanded = false; + + $(".docstring section").slideUp(animationSpeed); + } else { + $(this).removeClass("fa-chevron-down").addClass("fa-chevron-up"); + $(".docstring-article-toggle-button") + .removeClass("fa-chevron-right") + .addClass("fa-chevron-down"); + + isExpanded = true; + articleToggleTitle = "Collapse docstring"; + navArticleToggleTitle = "Collapse all docstrings"; + + $(".docstring section").slideDown(animationSpeed); + } + + $(this).prop("title", navArticleToggleTitle); + $(".docstring-article-toggle-button").prop("title", articleToggleTitle); + }); +}); + +function debounce(callback, timeout = 300) { + if (Date.now() - timer > timeout) { + callback(); + } + + clearTimeout(timer); + + timer = Date.now(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require([], function() { +function addCopyButtonCallbacks() { + for (const el of document.getElementsByTagName("pre")) { + const button = document.createElement("button"); + button.classList.add("copy-button", "fa-solid", "fa-copy"); + button.setAttribute("aria-label", "Copy this code block"); + button.setAttribute("title", "Copy"); + + el.appendChild(button); + + const success = function () { + button.classList.add("success", "fa-check"); + button.classList.remove("fa-copy"); + }; + + const failure = function () { + button.classList.add("error", "fa-xmark"); + button.classList.remove("fa-copy"); + }; + + button.addEventListener("click", function () { + copyToClipboard(el.innerText).then(success, failure); + + setTimeout(function () { + button.classList.add("fa-copy"); + button.classList.remove("success", "fa-check", "fa-xmark"); + }, 5000); + }); + } +} + +function copyToClipboard(text) { + // clipboard API is only available in secure contexts + if (window.navigator && window.navigator.clipboard) { + return window.navigator.clipboard.writeText(text); + } else { + return new Promise(function (resolve, reject) { + try { + const el = document.createElement("textarea"); + el.textContent = text; + el.style.position = "fixed"; + el.style.opacity = 0; + document.body.appendChild(el); + el.select(); + document.execCommand("copy"); + + resolve(); + } catch (err) { + reject(err); + } finally { + document.body.removeChild(el); + } + }); + } +} + +if (document.readyState === "loading") { + document.addEventListener("DOMContentLoaded", addCopyButtonCallbacks); +} else { + addCopyButtonCallbacks(); +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery', 'headroom', 'headroom-jquery'], function($, Headroom) { + +// Manages the top navigation bar (hides it when the user starts scrolling down on the +// mobile). +window.Headroom = Headroom; // work around buggy module loading? +$(document).ready(function () { + $("#documenter .docs-navbar").headroom({ + tolerance: { up: 10, down: 10 }, + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let meta = $("div[data-docstringscollapsed]").data(); + + if (meta?.docstringscollapsed) { + $("#documenter-article-toggle-button").trigger({ + type: "click", + noToggleAnimation: true, + }); + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +/* +To get an in-depth about the thought process you can refer: https://hetarth02.hashnode.dev/series/gsoc + +PSEUDOCODE: + +Searching happens automatically as the user types or adjusts the selected filters. +To preserve responsiveness, as much as possible of the slow parts of the search are done +in a web worker. Searching and result generation are done in the worker, and filtering and +DOM updates are done in the main thread. The filters are in the main thread as they should +be very quick to apply. This lets filters be changed without re-searching with minisearch +(which is possible even if filtering is on the worker thread) and also lets filters be +changed _while_ the worker is searching and without message passing (neither of which are +possible if filtering is on the worker thread) + +SEARCH WORKER: + +Import minisearch + +Build index + +On message from main thread + run search + find the first 200 unique results from each category, and compute their divs for display + note that this is necessary and sufficient information for the main thread to find the + first 200 unique results from any given filter set + post results to main thread + +MAIN: + +Launch worker + +Declare nonconstant globals (worker_is_running, last_search_text, unfiltered_results) + +On text update + if worker is not running, launch_search() + +launch_search + set worker_is_running to true, set last_search_text to the search text + post the search query to worker + +on message from worker + if last_search_text is not the same as the text in the search field, + the latest search result is not reflective of the latest search query, so update again + launch_search() + otherwise + set worker_is_running to false + + regardless, display the new search results to the user + save the unfiltered_results as a global + update_search() + +on filter click + adjust the filter selection + update_search() + +update_search + apply search filters by looping through the unfiltered_results and finding the first 200 + unique results that match the filters + + Update the DOM +*/ + +/////// SEARCH WORKER /////// + +function worker_function(documenterSearchIndex, documenterBaseURL, filters) { + importScripts( + "https://cdn.jsdelivr.net/npm/minisearch@6.1.0/dist/umd/index.min.js" + ); + + let data = documenterSearchIndex.map((x, key) => { + x["id"] = key; // minisearch requires a unique for each object + return x; + }); + + // list below is the lunr 2.1.3 list minus the intersect with names(Base) + // (all, any, get, in, is, only, which) and (do, else, for, let, where, while, with) + // ideally we'd just filter the original list but it's not available as a variable + const stopWords = new Set([ + "a", + "able", + "about", + "across", + "after", + "almost", + "also", + "am", + "among", + "an", + "and", + "are", + "as", + "at", + "be", + "because", + "been", + "but", + "by", + "can", + "cannot", + "could", + "dear", + "did", + "does", + "either", + "ever", + "every", + "from", + "got", + "had", + "has", + "have", + "he", + "her", + "hers", + "him", + "his", + "how", + "however", + "i", + "if", + "into", + "it", + "its", + "just", + "least", + "like", + "likely", + "may", + "me", + "might", + "most", + "must", + "my", + "neither", + "no", + "nor", + "not", + "of", + "off", + "often", + "on", + "or", + "other", + "our", + "own", + "rather", + "said", + "say", + "says", + "she", + "should", + "since", + "so", + "some", + "than", + "that", + "the", + "their", + "them", + "then", + "there", + "these", + "they", + "this", + "tis", + "to", + "too", + "twas", + "us", + "wants", + "was", + "we", + "were", + "what", + "when", + "who", + "whom", + "why", + "will", + "would", + "yet", + "you", + "your", + ]); + + let index = new MiniSearch({ + fields: ["title", "text"], // fields to index for full-text search + storeFields: ["location", "title", "text", "category", "page"], // fields to return with results + processTerm: (term) => { + let word = stopWords.has(term) ? null : term; + if (word) { + // custom trimmer that doesn't strip @ and !, which are used in julia macro and function names + word = word + .replace(/^[^a-zA-Z0-9@!]+/, "") + .replace(/[^a-zA-Z0-9@!]+$/, ""); + + word = word.toLowerCase(); + } + + return word ?? null; + }, + // add . as a separator, because otherwise "title": "Documenter.Anchors.add!", would not + // find anything if searching for "add!", only for the entire qualification + tokenize: (string) => string.split(/[\s\-\.]+/), + // options which will be applied during the search + searchOptions: { + prefix: true, + boost: { title: 100 }, + fuzzy: 2, + }, + }); + + index.addAll(data); + + /** + * Used to map characters to HTML entities. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const htmlEscapes = { + "&": "&", + "<": "<", + ">": ">", + '"': """, + "'": "'", + }; + + /** + * Used to match HTML entities and HTML characters. + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + const reUnescapedHtml = /[&<>"']/g; + const reHasUnescapedHtml = RegExp(reUnescapedHtml.source); + + /** + * Escape function from lodash + * Refer: https://github.com/lodash/lodash/blob/main/src/escape.ts + */ + function escape(string) { + return string && reHasUnescapedHtml.test(string) + ? string.replace(reUnescapedHtml, (chr) => htmlEscapes[chr]) + : string || ""; + } + + /** + * Make the result component given a minisearch result data object and the value + * of the search input as queryString. To view the result object structure, refer: + * https://lucaong.github.io/minisearch/modules/_minisearch_.html#searchresult + * + * @param {object} result + * @param {string} querystring + * @returns string + */ + function make_search_result(result, querystring) { + let search_divider = `
                    `; + let display_link = + result.location.slice(Math.max(0), Math.min(50, result.location.length)) + + (result.location.length > 30 ? "..." : ""); // To cut-off the link because it messes with the overflow of the whole div + + if (result.page !== "") { + display_link += ` (${result.page})`; + } + + let textindex = new RegExp(`${querystring}`, "i").exec(result.text); + let text = + textindex !== null + ? result.text.slice( + Math.max(textindex.index - 100, 0), + Math.min( + textindex.index + querystring.length + 100, + result.text.length + ) + ) + : ""; // cut-off text before and after from the match + + text = text.length ? escape(text) : ""; + + let display_result = text.length + ? "..." + + text.replace( + new RegExp(`${escape(querystring)}`, "i"), // For first occurrence + '$&' + ) + + "..." + : ""; // highlights the match + + let in_code = false; + if (!["page", "section"].includes(result.category.toLowerCase())) { + in_code = true; + } + + // We encode the full url to escape some special characters which can lead to broken links + let result_div = ` + +
                    +
                    ${escape(result.title)}
                    +
                    ${result.category}
                    +
                    +

                    + ${display_result} +

                    +
                    + ${display_link} +
                    +
                    + ${search_divider} + `; + + return result_div; + } + + self.onmessage = function (e) { + let query = e.data; + let results = index.search(query, { + filter: (result) => { + // Only return relevant results + return result.score >= 1; + }, + }); + + // Pre-filter to deduplicate and limit to 200 per category to the extent + // possible without knowing what the filters are. + let filtered_results = []; + let counts = {}; + for (let filter of filters) { + counts[filter] = 0; + } + let present = {}; + + for (let result of results) { + cat = result.category; + cnt = counts[cat]; + if (cnt < 200) { + id = cat + "---" + result.location; + if (present[id]) { + continue; + } + present[id] = true; + filtered_results.push({ + location: result.location, + category: cat, + div: make_search_result(result, query), + }); + } + } + + postMessage(filtered_results); + }; +} + +// `worker = Threads.@spawn worker_function(documenterSearchIndex)`, but in JavaScript! +const filters = [ + ...new Set(documenterSearchIndex["docs"].map((x) => x.category)), +]; +const worker_str = + "(" + + worker_function.toString() + + ")(" + + JSON.stringify(documenterSearchIndex["docs"]) + + "," + + JSON.stringify(documenterBaseURL) + + "," + + JSON.stringify(filters) + + ")"; +const worker_blob = new Blob([worker_str], { type: "text/javascript" }); +const worker = new Worker(URL.createObjectURL(worker_blob)); + +/////// SEARCH MAIN /////// + +// Whether the worker is currently handling a search. This is a boolean +// as the worker only ever handles 1 or 0 searches at a time. +var worker_is_running = false; + +// The last search text that was sent to the worker. This is used to determine +// if the worker should be launched again when it reports back results. +var last_search_text = ""; + +// The results of the last search. This, in combination with the state of the filters +// in the DOM, is used compute the results to display on calls to update_search. +var unfiltered_results = []; + +// Which filter is currently selected +var selected_filter = ""; + +$(document).on("input", ".documenter-search-input", function (event) { + if (!worker_is_running) { + launch_search(); + } +}); + +function launch_search() { + worker_is_running = true; + last_search_text = $(".documenter-search-input").val(); + worker.postMessage(last_search_text); +} + +worker.onmessage = function (e) { + if (last_search_text !== $(".documenter-search-input").val()) { + launch_search(); + } else { + worker_is_running = false; + } + + unfiltered_results = e.data; + update_search(); +}; + +$(document).on("click", ".search-filter", function () { + if ($(this).hasClass("search-filter-selected")) { + selected_filter = ""; + } else { + selected_filter = $(this).text().toLowerCase(); + } + + // This updates search results and toggles classes for UI: + update_search(); +}); + +/** + * Make/Update the search component + */ +function update_search() { + let querystring = $(".documenter-search-input").val(); + + if (querystring.trim()) { + if (selected_filter == "") { + results = unfiltered_results; + } else { + results = unfiltered_results.filter((result) => { + return selected_filter == result.category.toLowerCase(); + }); + } + + let search_result_container = ``; + let modal_filters = make_modal_body_filters(); + let search_divider = `
                    `; + + if (results.length) { + let links = []; + let count = 0; + let search_results = ""; + + for (var i = 0, n = results.length; i < n && count < 200; ++i) { + let result = results[i]; + if (result.location && !links.includes(result.location)) { + search_results += result.div; + count++; + links.push(result.location); + } + } + + if (count == 1) { + count_str = "1 result"; + } else if (count == 200) { + count_str = "200+ results"; + } else { + count_str = count + " results"; + } + let result_count = `
                    ${count_str}
                    `; + + search_result_container = ` +
                    + ${modal_filters} + ${search_divider} + ${result_count} +
                    + ${search_results} +
                    +
                    + `; + } else { + search_result_container = ` +
                    + ${modal_filters} + ${search_divider} +
                    0 result(s)
                    +
                    +
                    No result found!
                    + `; + } + + if ($(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").removeClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(search_result_container); + } else { + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".search-modal-card-body").html(` +
                    Type something to get started!
                    + `); + } +} + +/** + * Make the modal filter html + * + * @returns string + */ +function make_modal_body_filters() { + let str = filters + .map((val) => { + if (selected_filter == val.toLowerCase()) { + return `${val}`; + } else { + return `${val}`; + } + }) + .join(""); + + return ` +
                    + Filters: + ${str} +
                    `; +} + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Modal settings dialog +$(document).ready(function () { + var settings = $("#documenter-settings"); + $("#documenter-settings-button").click(function () { + settings.toggleClass("is-active"); + }); + // Close the dialog if X is clicked + $("#documenter-settings button.delete").click(function () { + settings.removeClass("is-active"); + }); + // Close dialog if ESC is pressed + $(document).keyup(function (e) { + if (e.keyCode == 27) settings.removeClass("is-active"); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +$(document).ready(function () { + let search_modal_header = ` + + `; + + let initial_search_body = ` +
                    Type something to get started!
                    + `; + + let search_modal_footer = ` +
                    + + Ctrl + + / to search + + esc to close +
                    + `; + + $(document.body).append( + ` + + ` + ); + + document.querySelector(".docs-search-query").addEventListener("click", () => { + openModal(); + }); + + document + .querySelector(".close-search-modal") + .addEventListener("click", () => { + closeModal(); + }); + + $(document).on("click", ".search-result-link", function () { + closeModal(); + }); + + document.addEventListener("keydown", (event) => { + if ((event.ctrlKey || event.metaKey) && event.key === "/") { + openModal(); + } else if (event.key === "Escape") { + closeModal(); + } + + return false; + }); + + // Functions to open and close a modal + function openModal() { + let searchModal = document.querySelector("#search-modal"); + + searchModal.classList.add("is-active"); + document.querySelector(".documenter-search-input").focus(); + } + + function closeModal() { + let searchModal = document.querySelector("#search-modal"); + let initial_search_body = ` +
                    Type something to get started!
                    + `; + + searchModal.classList.remove("is-active"); + document.querySelector(".documenter-search-input").blur(); + + if (!$(".search-modal-card-body").hasClass("is-justify-content-center")) { + $(".search-modal-card-body").addClass("is-justify-content-center"); + } + + $(".documenter-search-input").val(""); + $(".search-modal-card-body").html(initial_search_body); + } + + document + .querySelector("#search-modal .modal-background") + .addEventListener("click", () => { + closeModal(); + }); +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Manages the showing and hiding of the sidebar. +$(document).ready(function () { + var sidebar = $("#documenter > .docs-sidebar"); + var sidebar_button = $("#documenter-sidebar-button"); + sidebar_button.click(function (ev) { + ev.preventDefault(); + sidebar.toggleClass("visible"); + if (sidebar.hasClass("visible")) { + // Makes sure that the current menu item is visible in the sidebar. + $("#documenter .docs-menu a.is-active").focus(); + } + }); + $("#documenter > .docs-main").bind("click", function (ev) { + if ($(ev.target).is(sidebar_button)) { + return; + } + if (sidebar.hasClass("visible")) { + sidebar.removeClass("visible"); + } + }); +}); + +// Resizes the package name / sitename in the sidebar if it is too wide. +// Inspired by: https://github.com/davatron5000/FitText.js +$(document).ready(function () { + e = $("#documenter .docs-autofit"); + function resize() { + var L = parseInt(e.css("max-width"), 10); + var L0 = e.width(); + if (L0 > L) { + var h0 = parseInt(e.css("font-size"), 10); + e.css("font-size", (L * h0) / L0); + // TODO: make sure it survives resizes? + } + } + // call once and then register events + resize(); + $(window).resize(resize); + $(window).on("orientationchange", resize); +}); + +// Scroll the navigation bar to the currently selected menu item +$(document).ready(function () { + var sidebar = $("#documenter .docs-menu").get(0); + var active = $("#documenter .docs-menu .is-active").get(0); + if (typeof active !== "undefined") { + sidebar.scrollTop = active.offsetTop - sidebar.offsetTop - 15; + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// Theme picker setup +$(document).ready(function () { + // onchange callback + $("#documenter-themepicker").change(function themepick_callback(ev) { + var themename = $("#documenter-themepicker option:selected").attr("value"); + if (themename === "auto") { + // set_theme(window.matchMedia('(prefers-color-scheme: dark)').matches ? 'dark' : 'light'); + window.localStorage.removeItem("documenter-theme"); + } else { + // set_theme(themename); + window.localStorage.setItem("documenter-theme", themename); + } + // We re-use the global function from themeswap.js to actually do the swapping. + set_theme_from_local_storage(); + }); + + // Make sure that the themepicker displays the correct theme when the theme is retrieved + // from localStorage + if (typeof window.localStorage !== "undefined") { + var theme = window.localStorage.getItem("documenter-theme"); + if (theme !== null) { + $("#documenter-themepicker option").each(function (i, e) { + e.selected = e.value === theme; + }); + } + } +}); + +}) +//////////////////////////////////////////////////////////////////////////////// +require(['jquery'], function($) { + +// update the version selector with info from the siteinfo.js and ../versions.js files +$(document).ready(function () { + // If the version selector is disabled with DOCUMENTER_VERSION_SELECTOR_DISABLED in the + // siteinfo.js file, we just return immediately and not display the version selector. + if ( + typeof DOCUMENTER_VERSION_SELECTOR_DISABLED === "boolean" && + DOCUMENTER_VERSION_SELECTOR_DISABLED + ) { + return; + } + + var version_selector = $("#documenter .docs-version-selector"); + var version_selector_select = $("#documenter .docs-version-selector select"); + + version_selector_select.change(function (x) { + target_href = version_selector_select + .children("option:selected") + .get(0).value; + window.location.href = target_href; + }); + + // add the current version to the selector based on siteinfo.js, but only if the selector is empty + if ( + typeof DOCUMENTER_CURRENT_VERSION !== "undefined" && + $("#version-selector > option").length == 0 + ) { + var option = $( + "" + ); + version_selector_select.append(option); + } + + if (typeof DOC_VERSIONS !== "undefined") { + var existing_versions = version_selector_select.children("option"); + var existing_versions_texts = existing_versions.map(function (i, x) { + return x.text; + }); + DOC_VERSIONS.forEach(function (each) { + var version_url = documenterBaseURL + "/../" + each + "/"; + var existing_id = $.inArray(each, existing_versions_texts); + // if not already in the version selector, add it as a new option, + // otherwise update the old option with the URL and enable it + if (existing_id == -1) { + var option = $( + "" + ); + version_selector_select.append(option); + } else { + var option = existing_versions[existing_id]; + option.value = version_url; + option.disabled = false; + } + }); + } + + // only show the version selector if the selector has been populated + if (version_selector_select.children("option").length > 0) { + version_selector.toggleClass("visible"); + } +}); + +}) diff --git a/previews/PR39/assets/themes/documenter-dark.css b/previews/PR39/assets/themes/documenter-dark.css new file mode 100644 index 0000000..1d71701 --- /dev/null +++ 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.button.is-white.is-inverted.is-hovered{background-color:#000}html.theme--documenter-dark .button.is-white.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted{background-color:#0a0a0a;border-color:transparent;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-white.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-outlined.is-focused{background-color:#fff;border-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-outlined.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-white.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-focused{background-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-white.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-white.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-white.is-inverted.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:hover,html.theme--documenter-dark .button.is-black.is-hovered{background-color:#040404;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus,html.theme--documenter-dark .button.is-black.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black:focus:not(:active),html.theme--documenter-dark .button.is-black.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(10,10,10,0.25)}html.theme--documenter-dark .button.is-black:active,html.theme--documenter-dark .button.is-black.is-active{background-color:#000;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-black[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black{background-color:#0a0a0a;border-color:#0a0a0a;box-shadow:none}html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-black.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-outlined.is-focused{background-color:#0a0a0a;border-color:#0a0a0a;color:#fff}html.theme--documenter-dark .button.is-black.is-outlined.is-loading::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-black.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-outlined{background-color:transparent;border-color:#0a0a0a;box-shadow:none;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-focused{background-color:#fff;color:#0a0a0a}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-black.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #0a0a0a #0a0a0a !important}html.theme--documenter-dark .button.is-black.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-black.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:hover,html.theme--documenter-dark .button.is-light.is-hovered{background-color:#e5eaec;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus,html.theme--documenter-dark .button.is-light.is-focused{border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light:focus:not(:active),html.theme--documenter-dark .button.is-light.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(236,240,241,0.25)}html.theme--documenter-dark .button.is-light:active,html.theme--documenter-dark .button.is-light.is-active{background-color:#dde4e6;border-color:transparent;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light{background-color:#ecf0f1;border-color:#ecf0f1;box-shadow:none}html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-hovered{background-color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted{background-color:rgba(0,0,0,0.7);border-color:transparent;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-loading::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-outlined.is-focused{background-color:#ecf0f1;border-color:#ecf0f1;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-outlined.is-loading::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-outlined.is-loading.is-focused::after{border-color:transparent transparent rgba(0,0,0,0.7) rgba(0,0,0,0.7) !important}html.theme--documenter-dark .button.is-light.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-outlined{background-color:transparent;border-color:#ecf0f1;box-shadow:none;color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-focused{background-color:rgba(0,0,0,0.7);color:#ecf0f1}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-light.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ecf0f1 #ecf0f1 !important}html.theme--documenter-dark .button.is-light.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-light.is-inverted.is-outlined{background-color:transparent;border-color:rgba(0,0,0,0.7);box-shadow:none;color:rgba(0,0,0,0.7)}html.theme--documenter-dark .button.is-dark,html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:hover,html.theme--documenter-dark .content kbd.button:hover,html.theme--documenter-dark .button.is-dark.is-hovered,html.theme--documenter-dark .content kbd.button.is-hovered{background-color:#232829;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus,html.theme--documenter-dark .content kbd.button:focus,html.theme--documenter-dark .button.is-dark.is-focused,html.theme--documenter-dark .content kbd.button.is-focused{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark:focus:not(:active),html.theme--documenter-dark .content kbd.button:focus:not(:active),html.theme--documenter-dark .button.is-dark.is-focused:not(:active),html.theme--documenter-dark .content kbd.button.is-focused:not(:active){box-shadow:0 0 0 0.125em rgba(40,47,47,0.25)}html.theme--documenter-dark .button.is-dark:active,html.theme--documenter-dark .content kbd.button:active,html.theme--documenter-dark .button.is-dark.is-active,html.theme--documenter-dark .content kbd.button.is-active{background-color:#1d2122;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-dark[disabled],html.theme--documenter-dark .content kbd.button[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark,fieldset[disabled] html.theme--documenter-dark .content kbd.button{background-color:#282f2f;border-color:#282f2f;box-shadow:none}html.theme--documenter-dark .button.is-dark.is-inverted,html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted:hover,html.theme--documenter-dark .content kbd.button.is-inverted:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-hovered{background-color:#f2f2f2}html.theme--documenter-dark .button.is-dark.is-inverted[disabled],html.theme--documenter-dark .content kbd.button.is-inverted[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted{background-color:#fff;border-color:transparent;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-loading::after,html.theme--documenter-dark .content kbd.button.is-loading::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined,html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-outlined.is-focused{background-color:#282f2f;border-color:#282f2f;color:#fff}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-dark.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-outlined{background-color:transparent;border-color:#282f2f;box-shadow:none;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:hover,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined:focus,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-focused,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-focused{background-color:#fff;color:#282f2f}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined.is-loading.is-focused::after,html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #282f2f #282f2f !important}html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined[disabled],html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-dark.is-inverted.is-outlined,fieldset[disabled] html.theme--documenter-dark .content kbd.button.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-primary,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink{background-color:#375a7f;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:hover,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:hover,html.theme--documenter-dark .button.is-primary.is-hovered,html.theme--documenter-dark .docstring>section>a.button.is-hovered.docs-sourcelink{background-color:#335476;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus,html.theme--documenter-dark .button.is-primary.is-focused,html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink{border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary:focus:not(:active),html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:focus:not(:active),html.theme--documenter-dark .button.is-primary.is-focused:not(:active),html.theme--documenter-dark .docstring>section>a.button.is-focused.docs-sourcelink:not(:active){box-shadow:0 0 0 0.125em rgba(55,90,127,0.25)}html.theme--documenter-dark .button.is-primary:active,html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink:active,html.theme--documenter-dark .button.is-primary.is-active,html.theme--documenter-dark .docstring>section>a.button.is-active.docs-sourcelink{background-color:#2f4d6d;border-color:transparent;color:#fff}html.theme--documenter-dark .button.is-primary[disabled],html.theme--documenter-dark .docstring>section>a.button.docs-sourcelink[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-primary,fieldset[disabled] html.theme--documenter-dark 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.button.is-warning.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-outlined{background-color:transparent;border-color:#ad8100;box-shadow:none;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-focused{background-color:#fff;color:#ad8100}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #ad8100 #ad8100 !important}html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-warning.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-warning.is-light{background-color:#fffaeb;color:#d19c00}html.theme--documenter-dark .button.is-warning.is-light:hover,html.theme--documenter-dark .button.is-warning.is-light.is-hovered{background-color:#fff7de;border-color:transparent;color:#d19c00}html.theme--documenter-dark .button.is-warning.is-light:active,html.theme--documenter-dark .button.is-warning.is-light.is-active{background-color:#fff3d1;border-color:transparent;color:#d19c00}html.theme--documenter-dark .button.is-danger{background-color:#9e1b0d;border-color:transparent;color:#fff}html.theme--documenter-dark 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.button.is-danger.is-outlined.is-loading::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #fff #fff !important}html.theme--documenter-dark .button.is-danger.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-outlined{background-color:transparent;border-color:#9e1b0d;box-shadow:none;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;color:#fff}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:hover,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-hovered,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined:focus,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-focused{background-color:#fff;color:#9e1b0d}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:hover::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-hovered::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading:focus::after,html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined.is-loading.is-focused::after{border-color:transparent transparent #9e1b0d #9e1b0d !important}html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined[disabled],fieldset[disabled] html.theme--documenter-dark .button.is-danger.is-inverted.is-outlined{background-color:transparent;border-color:#fff;box-shadow:none;color:#fff}html.theme--documenter-dark .button.is-danger.is-light{background-color:#fdeeec;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:hover,html.theme--documenter-dark .button.is-danger.is-light.is-hovered{background-color:#fce3e0;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-danger.is-light:active,html.theme--documenter-dark .button.is-danger.is-light.is-active{background-color:#fcd8d5;border-color:transparent;color:#ec311d}html.theme--documenter-dark .button.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{font-size:.75rem}html.theme--documenter-dark .button.is-small:not(.is-rounded),html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button:not(.is-rounded){border-radius:3px}html.theme--documenter-dark .button.is-normal{font-size:1rem}html.theme--documenter-dark .button.is-medium{font-size:1.25rem}html.theme--documenter-dark .button.is-large{font-size:1.5rem}html.theme--documenter-dark .button[disabled],fieldset[disabled] html.theme--documenter-dark .button{background-color:#8c9b9d;border-color:#5e6d6f;box-shadow:none;opacity:.5}html.theme--documenter-dark .button.is-fullwidth{display:flex;width:100%}html.theme--documenter-dark .button.is-loading{color:transparent !important;pointer-events:none}html.theme--documenter-dark .button.is-loading::after{position:absolute;left:calc(50% - (1em * 0.5));top:calc(50% - (1em * 0.5));position:absolute !important}html.theme--documenter-dark .button.is-static{background-color:#282f2f;border-color:#5e6d6f;color:#dbdee0;box-shadow:none;pointer-events:none}html.theme--documenter-dark .button.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.button{border-radius:9999px;padding-left:calc(1em + 0.25em);padding-right:calc(1em + 0.25em)}html.theme--documenter-dark .buttons{align-items:center;display:flex;flex-wrap:wrap;justify-content:flex-start}html.theme--documenter-dark .buttons .button{margin-bottom:0.5rem}html.theme--documenter-dark .buttons .button:not(:last-child):not(.is-fullwidth){margin-right:.5rem}html.theme--documenter-dark .buttons:last-child{margin-bottom:-0.5rem}html.theme--documenter-dark .buttons:not(:last-child){margin-bottom:1rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large){font-size:.75rem}html.theme--documenter-dark .buttons.are-small .button:not(.is-normal):not(.is-medium):not(.is-large):not(.is-rounded){border-radius:3px}html.theme--documenter-dark .buttons.are-medium .button:not(.is-small):not(.is-normal):not(.is-large){font-size:1.25rem}html.theme--documenter-dark .buttons.are-large .button:not(.is-small):not(.is-normal):not(.is-medium){font-size:1.5rem}html.theme--documenter-dark .buttons.has-addons .button:not(:first-child){border-bottom-left-radius:0;border-top-left-radius:0}html.theme--documenter-dark .buttons.has-addons .button:not(:last-child){border-bottom-right-radius:0;border-top-right-radius:0;margin-right:-1px}html.theme--documenter-dark .buttons.has-addons .button:last-child{margin-right:0}html.theme--documenter-dark .buttons.has-addons .button:hover,html.theme--documenter-dark .buttons.has-addons .button.is-hovered{z-index:2}html.theme--documenter-dark .buttons.has-addons .button:focus,html.theme--documenter-dark .buttons.has-addons .button.is-focused,html.theme--documenter-dark .buttons.has-addons .button:active,html.theme--documenter-dark .buttons.has-addons .button.is-active,html.theme--documenter-dark .buttons.has-addons .button.is-selected{z-index:3}html.theme--documenter-dark .buttons.has-addons .button:focus:hover,html.theme--documenter-dark .buttons.has-addons .button.is-focused:hover,html.theme--documenter-dark .buttons.has-addons .button:active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-active:hover,html.theme--documenter-dark .buttons.has-addons .button.is-selected:hover{z-index:4}html.theme--documenter-dark .buttons.has-addons .button.is-expanded{flex-grow:1;flex-shrink:1}html.theme--documenter-dark .buttons.is-centered{justify-content:center}html.theme--documenter-dark .buttons.is-centered:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}html.theme--documenter-dark .buttons.is-right{justify-content:flex-end}html.theme--documenter-dark .buttons.is-right:not(.has-addons) .button:not(.is-fullwidth){margin-left:0.25rem;margin-right:0.25rem}@media screen and (max-width: 768px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.5625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1rem}}@media screen and (min-width: 769px) and (max-width: 1055px){html.theme--documenter-dark .button.is-responsive.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.is-responsive{font-size:.65625rem}html.theme--documenter-dark .button.is-responsive,html.theme--documenter-dark .button.is-responsive.is-normal{font-size:.75rem}html.theme--documenter-dark .button.is-responsive.is-medium{font-size:1rem}html.theme--documenter-dark .button.is-responsive.is-large{font-size:1.25rem}}html.theme--documenter-dark .container{flex-grow:1;margin:0 auto;position:relative;width:auto}html.theme--documenter-dark .container.is-fluid{max-width:none !important;padding-left:32px;padding-right:32px;width:100%}@media screen and (min-width: 1056px){html.theme--documenter-dark .container{max-width:992px}}@media screen and (max-width: 1215px){html.theme--documenter-dark .container.is-widescreen:not(.is-max-desktop){max-width:1152px}}@media screen and (max-width: 1407px){html.theme--documenter-dark .container.is-fullhd:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}@media screen and (min-width: 1216px){html.theme--documenter-dark .container:not(.is-max-desktop){max-width:1152px}}@media screen and (min-width: 1408px){html.theme--documenter-dark .container:not(.is-max-desktop):not(.is-max-widescreen){max-width:1344px}}html.theme--documenter-dark .content li+li{margin-top:0.25em}html.theme--documenter-dark .content p:not(:last-child),html.theme--documenter-dark .content dl:not(:last-child),html.theme--documenter-dark .content ol:not(:last-child),html.theme--documenter-dark .content ul:not(:last-child),html.theme--documenter-dark .content blockquote:not(:last-child),html.theme--documenter-dark .content pre:not(:last-child),html.theme--documenter-dark .content table:not(:last-child){margin-bottom:1em}html.theme--documenter-dark .content h1,html.theme--documenter-dark .content h2,html.theme--documenter-dark .content h3,html.theme--documenter-dark .content h4,html.theme--documenter-dark .content h5,html.theme--documenter-dark .content h6{color:#f2f2f2;font-weight:600;line-height:1.125}html.theme--documenter-dark .content h1{font-size:2em;margin-bottom:0.5em}html.theme--documenter-dark .content h1:not(:first-child){margin-top:1em}html.theme--documenter-dark .content h2{font-size:1.75em;margin-bottom:0.5714em}html.theme--documenter-dark .content h2:not(:first-child){margin-top:1.1428em}html.theme--documenter-dark .content h3{font-size:1.5em;margin-bottom:0.6666em}html.theme--documenter-dark .content h3:not(:first-child){margin-top:1.3333em}html.theme--documenter-dark .content h4{font-size:1.25em;margin-bottom:0.8em}html.theme--documenter-dark .content h5{font-size:1.125em;margin-bottom:0.8888em}html.theme--documenter-dark .content h6{font-size:1em;margin-bottom:1em}html.theme--documenter-dark .content blockquote{background-color:#282f2f;border-left:5px solid #5e6d6f;padding:1.25em 1.5em}html.theme--documenter-dark .content ol{list-style-position:outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ol:not([type]){list-style-type:decimal}html.theme--documenter-dark .content ol.is-lower-alpha:not([type]){list-style-type:lower-alpha}html.theme--documenter-dark .content ol.is-lower-roman:not([type]){list-style-type:lower-roman}html.theme--documenter-dark .content ol.is-upper-alpha:not([type]){list-style-type:upper-alpha}html.theme--documenter-dark .content ol.is-upper-roman:not([type]){list-style-type:upper-roman}html.theme--documenter-dark .content ul{list-style:disc outside;margin-left:2em;margin-top:1em}html.theme--documenter-dark .content ul ul{list-style-type:circle;margin-top:0.5em}html.theme--documenter-dark .content ul ul ul{list-style-type:square}html.theme--documenter-dark .content dd{margin-left:2em}html.theme--documenter-dark .content figure{margin-left:2em;margin-right:2em;text-align:center}html.theme--documenter-dark .content figure:not(:first-child){margin-top:2em}html.theme--documenter-dark .content figure:not(:last-child){margin-bottom:2em}html.theme--documenter-dark .content figure img{display:inline-block}html.theme--documenter-dark .content figure figcaption{font-style:italic}html.theme--documenter-dark .content pre{-webkit-overflow-scrolling:touch;overflow-x:auto;padding:0;white-space:pre;word-wrap:normal}html.theme--documenter-dark .content sup,html.theme--documenter-dark .content sub{font-size:75%}html.theme--documenter-dark .content table{width:100%}html.theme--documenter-dark .content table td,html.theme--documenter-dark .content table th{border:1px solid #5e6d6f;border-width:0 0 1px;padding:0.5em 0.75em;vertical-align:top}html.theme--documenter-dark .content table th{color:#f2f2f2}html.theme--documenter-dark .content table th:not([align]){text-align:inherit}html.theme--documenter-dark .content table thead td,html.theme--documenter-dark .content table thead th{border-width:0 0 2px;color:#f2f2f2}html.theme--documenter-dark .content table tfoot td,html.theme--documenter-dark .content table tfoot th{border-width:2px 0 0;color:#f2f2f2}html.theme--documenter-dark .content table tbody tr:last-child td,html.theme--documenter-dark .content table tbody tr:last-child th{border-bottom-width:0}html.theme--documenter-dark .content .tabs li+li{margin-top:0}html.theme--documenter-dark .content.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.content{font-size:.75rem}html.theme--documenter-dark .content.is-normal{font-size:1rem}html.theme--documenter-dark .content.is-medium{font-size:1.25rem}html.theme--documenter-dark .content.is-large{font-size:1.5rem}html.theme--documenter-dark .icon{align-items:center;display:inline-flex;justify-content:center;height:1.5rem;width:1.5rem}html.theme--documenter-dark .icon.is-small,html.theme--documenter-dark #documenter .docs-sidebar form.docs-search>input.icon{height:1rem;width:1rem}html.theme--documenter-dark .icon.is-medium{height:2rem;width:2rem}html.theme--documenter-dark .icon.is-large{height:3rem;width:3rem}html.theme--documenter-dark .icon-text{align-items:flex-start;color:inherit;display:inline-flex;flex-wrap:wrap;line-height:1.5rem;vertical-align:top}html.theme--documenter-dark .icon-text .icon{flex-grow:0;flex-shrink:0}html.theme--documenter-dark .icon-text .icon:not(:last-child){margin-right:.25em}html.theme--documenter-dark .icon-text .icon:not(:first-child){margin-left:.25em}html.theme--documenter-dark div.icon-text{display:flex}html.theme--documenter-dark .image,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img{display:block;position:relative}html.theme--documenter-dark .image img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img{display:block;height:auto;width:100%}html.theme--documenter-dark .image img.is-rounded,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img img.is-rounded{border-radius:9999px}html.theme--documenter-dark .image.is-fullwidth,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-fullwidth{width:100%}html.theme--documenter-dark .image.is-square img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square img,html.theme--documenter-dark .image.is-square .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-square .has-ratio,html.theme--documenter-dark .image.is-1by1 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 img,html.theme--documenter-dark .image.is-1by1 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-1by1 .has-ratio,html.theme--documenter-dark .image.is-5by4 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 img,html.theme--documenter-dark .image.is-5by4 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by4 .has-ratio,html.theme--documenter-dark .image.is-4by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 img,html.theme--documenter-dark .image.is-4by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-4by3 .has-ratio,html.theme--documenter-dark .image.is-3by2 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 img,html.theme--documenter-dark .image.is-3by2 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-3by2 .has-ratio,html.theme--documenter-dark .image.is-5by3 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 img,html.theme--documenter-dark .image.is-5by3 .has-ratio,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-5by3 .has-ratio,html.theme--documenter-dark .image.is-16by9 img,html.theme--documenter-dark #documenter .docs-sidebar .docs-logo>img.is-16by9 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+ Maintainer: @highlightjs/core-team + Website: https://highlightjs.org/ + License: see project LICENSE + Touched: 2021 +*/pre code.hljs{display:block;overflow-x:auto;padding:1em}code.hljs{padding:3px 5px}.hljs{background:#F3F3F3;color:#444}.hljs-comment{color:#697070}.hljs-tag,.hljs-punctuation{color:#444a}.hljs-tag .hljs-name,.hljs-tag .hljs-attr{color:#444}.hljs-keyword,.hljs-attribute,.hljs-selector-tag,.hljs-meta .hljs-keyword,.hljs-doctag,.hljs-name{font-weight:bold}.hljs-type,.hljs-string,.hljs-number,.hljs-selector-id,.hljs-selector-class,.hljs-quote,.hljs-template-tag,.hljs-deletion{color:#880000}.hljs-title,.hljs-section{color:#880000;font-weight:bold}.hljs-regexp,.hljs-symbol,.hljs-variable,.hljs-template-variable,.hljs-link,.hljs-selector-attr,.hljs-operator,.hljs-selector-pseudo{color:#ab5656}.hljs-literal{color:#695}.hljs-built_in,.hljs-bullet,.hljs-code,.hljs-addition{color:#397300}.hljs-meta{color:#1f7199}.hljs-meta .hljs-string{color:#38a}.hljs-emphasis{font-style:italic}.hljs-strong{font-weight:bold}.gap-4{gap:1rem} diff --git a/previews/PR39/assets/themeswap.js b/previews/PR39/assets/themeswap.js new file mode 100644 index 0000000..9f5eebe --- /dev/null +++ b/previews/PR39/assets/themeswap.js @@ -0,0 +1,84 @@ +// Small function to quickly swap out themes. Gets put into the tag.. +function set_theme_from_local_storage() { + // Initialize the theme to null, which means default + var theme = null; + // If the browser supports the localstorage and is not disabled then try to get the + // documenter theme + if (window.localStorage != null) { + // Get the user-picked theme from localStorage. May be `null`, which means the default + // theme. + theme = window.localStorage.getItem("documenter-theme"); + } + // Check if the users preference is for dark color scheme + var darkPreference = + window.matchMedia("(prefers-color-scheme: dark)").matches === true; + // Initialize a few variables for the loop: + // + // - active: will contain the index of the theme that should be active. Note that there + // is no guarantee that localStorage contains sane values. If `active` stays `null` + // we either could not find the theme or it is the default (primary) theme anyway. + // Either way, we then need to stick to the primary theme. + // + // - disabled: style sheets that should be disabled (i.e. all the theme style sheets + // that are not the currently active theme) + var active = null; + var disabled = []; + var primaryLightTheme = null; + var primaryDarkTheme = null; + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // To distinguish the default (primary) theme, it needs to have the data-theme-primary + // attribute set. + if (ss.ownerNode.getAttribute("data-theme-primary") !== null) { + primaryLightTheme = themename; + } + // Check if the theme is primary dark theme so that we could store its name in darkTheme + if (ss.ownerNode.getAttribute("data-theme-primary-dark") !== null) { + primaryDarkTheme = themename; + } + // If we find a matching theme (and it's not the default), we'll set active to non-null + if (themename === theme) active = i; + // Store the style sheets of inactive themes so that we could disable them + if (themename !== theme) disabled.push(ss); + } + var activeTheme = null; + if (active !== null) { + // If we did find an active theme, we'll (1) add the theme--$(theme) class to + document.getElementsByTagName("html")[0].className = "theme--" + theme; + activeTheme = theme; + } else { + // If we did _not_ find an active theme, then we need to fall back to the primary theme + // which can either be dark or light, depending on the user's OS preference. + var activeTheme = darkPreference ? primaryDarkTheme : primaryLightTheme; + // In case it somehow happens that the relevant primary theme was not found in the + // preceding loop, we abort without doing anything. + if (activeTheme === null) { + console.error("Unable to determine primary theme."); + return; + } + // When switching to the primary light theme, then we must not have a class name + // for the tag. That's only for non-primary or the primary dark theme. + if (darkPreference) { + document.getElementsByTagName("html")[0].className = + "theme--" + activeTheme; + } else { + document.getElementsByTagName("html")[0].className = ""; + } + } + for (var i = 0; i < document.styleSheets.length; i++) { + var ss = document.styleSheets[i]; + // The tag of each style sheet is expected to have a data-theme-name attribute + // which must contain the name of the theme. The names in localStorage much match this. + var themename = ss.ownerNode.getAttribute("data-theme-name"); + // attribute not set => non-theme stylesheet => ignore + if (themename === null) continue; + // we'll disable all the stylesheets, except for the active one + ss.disabled = !(themename == activeTheme); + } +} +set_theme_from_local_storage(); diff --git a/previews/PR39/assets/warner.js b/previews/PR39/assets/warner.js new file mode 100644 index 0000000..3f6f5d0 --- /dev/null +++ b/previews/PR39/assets/warner.js @@ -0,0 +1,52 @@ +function maybeAddWarning() { + // DOCUMENTER_NEWEST is defined in versions.js, DOCUMENTER_CURRENT_VERSION and DOCUMENTER_STABLE + // in siteinfo.js. + // If either of these are undefined something went horribly wrong, so we abort. + if ( + window.DOCUMENTER_NEWEST === undefined || + window.DOCUMENTER_CURRENT_VERSION === undefined || + window.DOCUMENTER_STABLE === undefined + ) { + return; + } + + // Current version is not a version number, so we can't tell if it's the newest version. 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z!p@hsEWeE$I)qV6odo>k?)BczWDb^0vEPD1(Bmuy z<43&0@!f8sd|~{o_|L@lzCk}z&hu_GT55DAtv1@|t;xR2vKX5a*fYFJF7nz!`Ci{N z8(kV`$JNPCu?@L<=g{6*>yNC`p7xm>&QGu074cjgV<)N*s4QJmbSq0)Hx<=*p|f01 zecvx2NgH+h6E&AT9VZhm(u8Za^=`^lseb&1i}MhVHi`7+s0LYr(~R@GQjdAIU3?S# zr(CqN%`mz}<)%5Qm!!@qwyH6wTCx7`c3YAc((U%*mdxYym-~+ zkEZ>96Yzfgd;cA4Y(VQX`s8cS2YoXAxAo;TQ|poDC6sSly$*HXKaBmMQl>TAGun}V U65{Xw`UCjKZgAMYcH{nk04t*eLjV8( literal 0 HcmV?d00001 diff --git a/previews/PR39/examples/heat_equation_hypre.jl b/previews/PR39/examples/heat_equation_hypre.jl new file mode 100644 index 0000000..47f1efc --- /dev/null +++ b/previews/PR39/examples/heat_equation_hypre.jl @@ -0,0 +1,98 @@ +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +MPI.Init() +HYPRE.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)) + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo) + +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh) + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc) +close!(ch) + +function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim + fill!(Ke, 0) + fill!(fe, 0) + + n_basefuncs = getnbasefunctions(cellvalues) + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, cell_coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end +end + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler, ch::ConstraintHandler) + # TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + assembler = start_assemble(K, f) + + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + # For the local assembly nothing changes + for cell in CellIterator(dh) + reinit!(cellvalues, cell) + assemble_element!(Ke, fe, cellvalues, getcoordinates(cell)) + # Local elimination of boundary conditions, because global + # elimination is not implemented for the HYPRE extension. + apply_local!(Ke, fe, celldofs(cell), ch) + # TODO how to put this into an interface? + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + # Finally, for the `HYPREAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + end_assemble(assembler) + + return K, f +end + +K, f = doassemble(cellvalues, dh, ch) + +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) + +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR39/examples/heat_equation_hypre/index.html b/previews/PR39/examples/heat_equation_hypre/index.html new file mode 100644 index 0000000..145268c --- /dev/null +++ b/previews/PR39/examples/heat_equation_hypre/index.html @@ -0,0 +1,171 @@ + +Distributed Assembly with HYPRE.jl · FerriteDistributed.jl

                    Distributed Assembly with HYPRE.jl

                    Introduction

                    Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

                    Commented Program

                    Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

                    First we load Ferrite, and some other packages we need

                    using FerriteDistributed
                    +using HYPRE, Metis
                    +
                    +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
                    [ Info: FerriteDistributedPartitionedArrays extension loaded.
                    +[ Info: FerriteDistributed HYPRE extension loaded.

                    Launch MPI and HYPRE

                    MPI.Init()
                    +HYPRE.Init()

                    We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.

                    dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))

                    Trial and test functions

                    Nothing changes here.

                    ref = RefHexahedron
                    +ip = Lagrange{ref, 2}()
                    +ip_geo = Lagrange{ref, 1}()
                    +qr = QuadratureRule{ref}(3)
                    +cellvalues = CellValues(qr, ip, ip_geo)

                    Degrees of freedom

                    Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

                    dh = DofHandler(dgrid)
                    +push!(dh, :u, 1, ip)
                    +close!(dh)

                    Boundary conditions

                    Nothing has to be changed here either.

                    ch = ConstraintHandler(dh);
                    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                    +add!(ch, dbc)
                    +close!(ch)

                    Assembling the linear system

                    Assembling the system works also mostly analogue. We use the same function to assemble the element as in the serial version.

                    function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim
                    +    fill!(Ke, 0)
                    +    fill!(fe, 0)
                    +
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    for q_point in 1:getnquadpoints(cellvalues)
                    +        dΩ = getdetJdV(cellvalues, q_point)
                    +
                    +        for i in 1:n_basefuncs
                    +            v  = shape_value(cellvalues, q_point, i)
                    +            ∇v = shape_gradient(cellvalues, q_point, i)
                    +            # Manufactured solution of Π cos(xᵢπ)
                    +            x = spatial_coordinate(cellvalues, q_point, cell_coords)
                    +            fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                    +
                    +            for j in 1:n_basefuncs
                    +                ∇u = shape_gradient(cellvalues, q_point, j)
                    +                Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                    +            end
                    +        end
                    +    end
                    +end

                    The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.

                    function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler, ch::ConstraintHandler)
                    +    # TODO how to put this into an interface?
                    +    dgrid = getglobalgrid(dh)
                    +    comm = global_comm(dgrid)
                    +    ldofrange = local_dof_range(dh)
                    +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
                    +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
                    +    assembler = start_assemble(K, f)
                    +
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    Ke = zeros(n_basefuncs, n_basefuncs)
                    +    fe = zeros(n_basefuncs)
                    +
                    +    # For the local assembly nothing changes
                    +    for cell in CellIterator(dh)
                    +        reinit!(cellvalues, cell)
                    +        assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))
                    +        # Local elimination of boundary conditions, because global
                    +        # elimination is not implemented for the HYPRE extension.
                    +        apply_local!(Ke, fe, celldofs(cell), ch)
                    +        # TODO how to put this into an interface?
                    +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
                    +    end
                    +
                    +    # Finally, for the `HYPREAssembler` we have to call
                    +    # `end_assemble` to construct the global sparse matrix and the global
                    +    # right hand side vector.
                    +    end_assemble(assembler)
                    +
                    +    return K, f
                    +end

                    Solution of the system

                    Again, we assemble our problem. Note that we applied the constraints locally.

                    K, f = doassemble(cellvalues, dh, ch)

                    We use CG with AMG preconditioner to solve the system.

                    precond = HYPRE.BoomerAMG()
                    +solver = HYPRE.PCG(; Precond = precond)
                    +uₕ = HYPRE.solve(solver, K, f)

                    And convert the solution from HYPRE to Ferrite

                    u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
                    +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)

                    Exporting via PVTK

                    To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView. For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning.

                    vtk_grid("heat_equation_distributed", dh) do vtk
                    +    vtk_point_data(vtk, dh, u_local)
                    +    vtk_shared_vertices(vtk, dgrid)
                    +    vtk_shared_faces(vtk, dgrid)
                    +    vtk_partitioning(vtk, dgrid)
                    +end

                    Plain program

                    Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.

                    using FerriteDistributed
                    +using HYPRE, Metis
                    +
                    +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS
                    +
                    +MPI.Init()
                    +HYPRE.Init()
                    +
                    +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))
                    +
                    +ref = RefHexahedron
                    +ip = Lagrange{ref, 2}()
                    +ip_geo = Lagrange{ref, 1}()
                    +qr = QuadratureRule{ref}(3)
                    +cellvalues = CellValues(qr, ip, ip_geo)
                    +
                    +dh = DofHandler(dgrid)
                    +push!(dh, :u, 1, ip)
                    +close!(dh)
                    +
                    +ch = ConstraintHandler(dh);
                    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                    +add!(ch, dbc)
                    +close!(ch)
                    +
                    +function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim
                    +    fill!(Ke, 0)
                    +    fill!(fe, 0)
                    +
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    for q_point in 1:getnquadpoints(cellvalues)
                    +        dΩ = getdetJdV(cellvalues, q_point)
                    +
                    +        for i in 1:n_basefuncs
                    +            v  = shape_value(cellvalues, q_point, i)
                    +            ∇v = shape_gradient(cellvalues, q_point, i)
                    +            # Manufactured solution of Π cos(xᵢπ)
                    +            x = spatial_coordinate(cellvalues, q_point, cell_coords)
                    +            fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                    +
                    +            for j in 1:n_basefuncs
                    +                ∇u = shape_gradient(cellvalues, q_point, j)
                    +                Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                    +            end
                    +        end
                    +    end
                    +end
                    +
                    +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler, ch::ConstraintHandler)
                    +    # TODO how to put this into an interface?
                    +    dgrid = getglobalgrid(dh)
                    +    comm = global_comm(dgrid)
                    +    ldofrange = local_dof_range(dh)
                    +    K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))
                    +    f = HYPREVector(comm, first(ldofrange), last(ldofrange))
                    +    assembler = start_assemble(K, f)
                    +
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    Ke = zeros(n_basefuncs, n_basefuncs)
                    +    fe = zeros(n_basefuncs)
                    +
                    +    # For the local assembly nothing changes
                    +    for cell in CellIterator(dh)
                    +        reinit!(cellvalues, cell)
                    +        assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))
                    +        # Local elimination of boundary conditions, because global
                    +        # elimination is not implemented for the HYPRE extension.
                    +        apply_local!(Ke, fe, celldofs(cell), ch)
                    +        # TODO how to put this into an interface?
                    +        assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)
                    +    end
                    +
                    +    # Finally, for the `HYPREAssembler` we have to call
                    +    # `end_assemble` to construct the global sparse matrix and the global
                    +    # right hand side vector.
                    +    end_assemble(assembler)
                    +
                    +    return K, f
                    +end
                    +
                    +K, f = doassemble(cellvalues, dh, ch)
                    +
                    +precond = HYPRE.BoomerAMG()
                    +solver = HYPRE.PCG(; Precond = precond)
                    +uₕ = HYPRE.solve(solver, K, f)
                    +
                    +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))
                    +FerriteDistributed.extract_local_part!(u_local, uₕ, dh)
                    +
                    +vtk_grid("heat_equation_distributed", dh) do vtk
                    +    vtk_point_data(vtk, dh, u_local)
                    +    vtk_shared_vertices(vtk, dgrid)
                    +    vtk_shared_faces(vtk, dgrid)
                    +    vtk_partitioning(vtk, dgrid)
                    +end

                    This page was generated using Literate.jl.

                    diff --git a/previews/PR39/examples/heat_equation_pa.jl b/previews/PR39/examples/heat_equation_pa.jl new file mode 100644 index 0000000..99c7742 --- /dev/null +++ b/previews/PR39/examples/heat_equation_pa.jl @@ -0,0 +1,82 @@ +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +MPI.Init() + +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)) + +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo) + +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh) + +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +add!(ch, dbc) +close!(ch) + +function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim + fill!(Ke, 0) + fill!(fe, 0) + + n_basefuncs = getnbasefunctions(cellvalues) + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + # Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, cell_coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end +end + +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + # For the local assembly nothing changes + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + reinit!(cellvalues, cell) + assemble_element!(Ke, fe, cellvalues, getcoordinates(cell)) + # Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + # Finally, for the `PartitionedArraysCOOAssembler` we have to call + # `end_assemble` to construct the global sparse matrix and the global + # right hand side vector. + return end_assemble(assembler) +end + +K, f = doassemble(cellvalues, dh) +apply!(K, f, ch) + +u = cg(K, f) + +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_partitioning(vtk, dgrid) +end + +# This file was generated using Literate.jl, https://github.com/fredrikekre/Literate.jl diff --git a/previews/PR39/examples/heat_equation_pa/index.html b/previews/PR39/examples/heat_equation_pa/index.html new file mode 100644 index 0000000..429806b --- /dev/null +++ b/previews/PR39/examples/heat_equation_pa/index.html @@ -0,0 +1,140 @@ + +Distributed Assembly with PartitionedArrays.jl · FerriteDistributed.jl

                    Distributed Assembly with PartitionedArrays.jl

                    Introduction

                    Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.

                    Commented Program

                    Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.

                    First we load Ferrite, and some other packages we need

                    using FerriteDistributed
                    +using PartitionedArrays, Metis
                    +using IterativeSolvers

                    Launch MPI

                    MPI.Init()

                    We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.

                    dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))

                    Trial and test functions

                    Nothing changes here.

                    ref = RefHexahedron
                    +ip = Lagrange{ref, 2}()
                    +ip_geo = Lagrange{ref, 1}()
                    +qr = QuadratureRule{ref}(3)
                    +cellvalues = CellValues(qr, ip, ip_geo)

                    Degrees of freedom

                    Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.

                    dh = DofHandler(dgrid)
                    +add!(dh, :u, ip)
                    +close!(dh)

                    Boundary conditions

                    Nothing has to be changed here either.

                    ch = ConstraintHandler(dh);
                    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                    +add!(ch, dbc)
                    +close!(ch)

                    Assembling the linear system

                    Assembling the system works also mostly analogue. Note that the dof handler type changed. We use the same function to assemble the element as in the serial version.

                    function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim
                    +    fill!(Ke, 0)
                    +    fill!(fe, 0)
                    +
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    for q_point in 1:getnquadpoints(cellvalues)
                    +        dΩ = getdetJdV(cellvalues, q_point)
                    +
                    +        for i in 1:n_basefuncs
                    +            v  = shape_value(cellvalues, q_point, i)
                    +            ∇v = shape_gradient(cellvalues, q_point, i)
                    +            # Manufactured solution of Π cos(xᵢπ)
                    +            x = spatial_coordinate(cellvalues, q_point, cell_coords)
                    +            fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                    +
                    +            for j in 1:n_basefuncs
                    +                ∇u = shape_gradient(cellvalues, q_point, j)
                    +                Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                    +            end
                    +        end
                    +    end
                    +end

                    The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl.

                    function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
                    +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
                    +
                    +    # For the local assembly nothing changes
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    Ke = zeros(n_basefuncs, n_basefuncs)
                    +    fe = zeros(n_basefuncs)
                    +    for cell in CellIterator(dh)
                    +        fill!(Ke, 0)
                    +        fill!(fe, 0)
                    +        reinit!(cellvalues, cell)
                    +        assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))
                    +        # Note that this call should be communication-free!
                    +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
                    +    end
                    +
                    +    # Finally, for the `PartitionedArraysCOOAssembler` we have to call
                    +    # `end_assemble` to construct the global sparse matrix and the global
                    +    # right hand side vector.
                    +    return end_assemble(assembler)
                    +end

                    Solution of the system

                    Again, we assemble our problem and apply the constraints as needed.

                    K, f = doassemble(cellvalues, dh)
                    +apply!(K, f, ch)

                    To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.

                    u = cg(K, f)

                    Exporting via PVTK

                    To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView. For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning.

                    vtk_grid("heat_equation_distributed", dh) do vtk
                    +    vtk_point_data(vtk, dh, u)
                    +    vtk_shared_vertices(vtk, dgrid)
                    +    vtk_shared_faces(vtk, dgrid)
                    +    vtk_partitioning(vtk, dgrid)
                    +end

                    Plain program

                    Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.

                    using FerriteDistributed
                    +using PartitionedArrays, Metis
                    +using IterativeSolvers
                    +
                    +MPI.Init()
                    +
                    +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))
                    +
                    +ref = RefHexahedron
                    +ip = Lagrange{ref, 2}()
                    +ip_geo = Lagrange{ref, 1}()
                    +qr = QuadratureRule{ref}(3)
                    +cellvalues = CellValues(qr, ip, ip_geo)
                    +
                    +dh = DofHandler(dgrid)
                    +add!(dh, :u, ip)
                    +close!(dh)
                    +
                    +ch = ConstraintHandler(dh);
                    +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...);
                    +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)
                    +add!(ch, dbc)
                    +close!(ch)
                    +
                    +function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim
                    +    fill!(Ke, 0)
                    +    fill!(fe, 0)
                    +
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    for q_point in 1:getnquadpoints(cellvalues)
                    +        dΩ = getdetJdV(cellvalues, q_point)
                    +
                    +        for i in 1:n_basefuncs
                    +            v  = shape_value(cellvalues, q_point, i)
                    +            ∇v = shape_gradient(cellvalues, q_point, i)
                    +            # Manufactured solution of Π cos(xᵢπ)
                    +            x = spatial_coordinate(cellvalues, q_point, cell_coords)
                    +            fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ
                    +
                    +            for j in 1:n_basefuncs
                    +                ∇u = shape_gradient(cellvalues, q_point, j)
                    +                Ke[i, j] += (∇v ⋅ ∇u) * dΩ
                    +            end
                    +        end
                    +    end
                    +end
                    +
                    +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}
                    +    assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))
                    +
                    +    # For the local assembly nothing changes
                    +    n_basefuncs = getnbasefunctions(cellvalues)
                    +    Ke = zeros(n_basefuncs, n_basefuncs)
                    +    fe = zeros(n_basefuncs)
                    +    for cell in CellIterator(dh)
                    +        fill!(Ke, 0)
                    +        fill!(fe, 0)
                    +        reinit!(cellvalues, cell)
                    +        assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))
                    +        # Note that this call should be communication-free!
                    +        Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)
                    +    end
                    +
                    +    # Finally, for the `PartitionedArraysCOOAssembler` we have to call
                    +    # `end_assemble` to construct the global sparse matrix and the global
                    +    # right hand side vector.
                    +    return end_assemble(assembler)
                    +end
                    +
                    +K, f = doassemble(cellvalues, dh)
                    +apply!(K, f, ch)
                    +
                    +u = cg(K, f)
                    +
                    +vtk_grid("heat_equation_distributed", dh) do vtk
                    +    vtk_point_data(vtk, dh, u)
                    +    vtk_shared_vertices(vtk, dgrid)
                    +    vtk_shared_faces(vtk, dgrid)
                    +    vtk_partitioning(vtk, dgrid)
                    +end

                    This page was generated using Literate.jl.

                    diff --git a/previews/PR39/index.html b/previews/PR39/index.html new file mode 100644 index 0000000..d893749 --- /dev/null +++ b/previews/PR39/index.html @@ -0,0 +1,11 @@ + +Home · FerriteDistributed.jl

                    FerriteDistributed.jl

                    Non-overlapping distributed grids for Ferrite.jl.

                    Note

                    This package is still experimental and may break!

                    Usage

                    The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via

                    using MPI
                    +using FerriteDistributed
                    +MPI.Init()
                    +dgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))

                    or distribute your own grid

                    using MPI
                    +using Ferrite, FerriteDistributed
                    +MPI.Init()
                    +grid = ...
                    +dgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())

                    for more details on the calls please consult the API docs.

                    Debugging Information

                    The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via

                    using Ferrite
                    +Ferrite.debug_mode()

                    followed by restarting the Julia process. It can be turned off again by calling

                    using Ferrite
                    +Ferrite.debug_mode(enable=false)

                    also followed by restarting the Julia process.

                    diff --git a/previews/PR39/literate/heat_equation_hypre.jl b/previews/PR39/literate/heat_equation_hypre.jl new file mode 100644 index 0000000..935b249 --- /dev/null +++ b/previews/PR39/literate/heat_equation_hypre.jl @@ -0,0 +1,177 @@ +# # Distributed Assembly with HYPRE.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using HYPRE, Metis + +import FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS + +# Launch MPI and HYPRE +MPI.Init() +HYPRE.Init() +#md nothing # hide + +# We start generating a simple grid with 10x10x10 hexahedral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)) +#md nothing # hide + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo) +#md nothing # hide + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +push!(dh, :u, 1, ip) +close!(dh) +#md nothing # hide + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc) +close!(ch) +#md nothing # hide + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. We use the same function to assemble the element as in the serial version. +function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim + fill!(Ke, 0) + fill!(fe, 0) + + n_basefuncs = getnbasefunctions(cellvalues) + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + ## Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, cell_coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end +end +#md nothing # hide + +# The synchronization with the global sparse matrix is handled by +# an assembler again. You can choose from different backends, which +# are described in the docs and will be expaned over time. This call +# may trigger a large amount of communication. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler, ch::ConstraintHandler) + ## TODO how to put this into an interface? + dgrid = getglobalgrid(dh) + comm = global_comm(dgrid) + ldofrange = local_dof_range(dh) + K = HYPREMatrix(comm, first(ldofrange), last(ldofrange)) + f = HYPREVector(comm, first(ldofrange), last(ldofrange)) + assembler = start_assemble(K, f) + + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + + ## For the local assembly nothing changes + for cell in CellIterator(dh) + reinit!(cellvalues, cell) + assemble_element!(Ke, fe, cellvalues, getcoordinates(cell)) + ## Local elimination of boundary conditions, because global + ## elimination is not implemented for the HYPRE extension. + apply_local!(Ke, fe, celldofs(cell), ch) + ## TODO how to put this into an interface? + assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke) + end + + ## Finally, for the `HYPREAssembler` we have to call + ## `end_assemble` to construct the global sparse matrix and the global + ## right hand side vector. + end_assemble(assembler) + + return K, f +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem. Note that we applied the constraints locally. +K, f = doassemble(cellvalues, dh, ch) +#md nothing # hide + +# We use CG with AMG preconditioner to solve the system. +precond = HYPRE.BoomerAMG() +solver = HYPRE.PCG(; Precond = precond) +uₕ = HYPRE.solve(solver, K, f) +#md nothing # hide + +# And convert the solution from HYPRE to Ferrite +u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh)) +FerriteDistributed.extract_local_part!(u_local, uₕ, dh) +#md nothing # hide + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +# For debugging purposes it can be helpful to enrich +# the visualization with some meta information about +# the grid and its partitioning. +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u_local) + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end +#md nothing # hide + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-hypre) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_hypre.jl`](distributed_assembly_hypre.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR39/literate/heat_equation_pa.jl b/previews/PR39/literate/heat_equation_pa.jl new file mode 100644 index 0000000..3469e17 --- /dev/null +++ b/previews/PR39/literate/heat_equation_pa.jl @@ -0,0 +1,167 @@ +# # Distributed Assembly with PartitionedArrays.jl +# +# ## Introduction +# +# Now we want to solve the heat problem in parallel. To be specific, this example shows +# how to utilize process parallelism to assemble finite element matrices in parallel. +# This example presumes that the reader is familiar with solving the heat problem in +# serial with Ferrite.jl, as presented in [the first example](@ref heat_example). +# +#- +# ## Commented Program +# +# Now we solve the problem in Ferrite. What follows is a program spliced with comments. +#md # The full program, without comments, can be found in the next [section](@ref heat_equation-plain-program). +# +# First we load Ferrite, and some other packages we need +using FerriteDistributed +using PartitionedArrays, Metis +using IterativeSolvers + +# Launch MPI +MPI.Init() +#md nothing # hide + +# We start generating a simple grid with 20x20 quadrilateral elements +# and distribute it across our processors using `generate_distributed_grid`. +dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE)) +#md nothing # hide + +# ### Trial and test functions +# Nothing changes here. +ref = RefHexahedron +ip = Lagrange{ref, 2}() +ip_geo = Lagrange{ref, 1}() +qr = QuadratureRule{ref}(3) +cellvalues = CellValues(qr, ip, ip_geo) +#md nothing # hide + +# ### Degrees of freedom +# Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler. +dh = DofHandler(dgrid) +add!(dh, :u, ip) +close!(dh) +#md nothing # hide + +# ### Boundary conditions +# Nothing has to be changed here either. +ch = ConstraintHandler(dh); +∂Ω = union(getfaceset.((dgrid, ), ["left", "right", "top", "bottom", "front", "back"])...); +dbc = Dirichlet(:u, ∂Ω, (x, t) -> 0) +dbc_val = 0 #src +dbc = Dirichlet(:u, ∂Ω, (x, t) -> dbc_val) #src +add!(ch, dbc) +close!(ch) +#md nothing # hide + +# ### Assembling the linear system +# Assembling the system works also mostly analogue. Note that the dof handler type changed. +# We use the same function to assemble the element as in the serial version. +function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim + fill!(Ke, 0) + fill!(fe, 0) + + n_basefuncs = getnbasefunctions(cellvalues) + for q_point in 1:getnquadpoints(cellvalues) + dΩ = getdetJdV(cellvalues, q_point) + + for i in 1:n_basefuncs + v = shape_value(cellvalues, q_point, i) + ∇v = shape_gradient(cellvalues, q_point, i) + ## Manufactured solution of Π cos(xᵢπ) + x = spatial_coordinate(cellvalues, q_point, cell_coords) + fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ + + for j in 1:n_basefuncs + ∇u = shape_gradient(cellvalues, q_point, j) + Ke[i, j] += (∇v ⋅ ∇u) * dΩ + end + end + end +end +#md nothing # hide + +# The synchronization with the global sparse matrix is handled by +# an assembler again. You can choose from different backends, which +# are described in the docs and will be expaned over time. This call +# may trigger a large amount of communication. +# NOTE: At the time of writing the only backend available is a COO +# assembly via PartitionedArrays.jl. +function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim} + assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),)))) + + ## For the local assembly nothing changes + n_basefuncs = getnbasefunctions(cellvalues) + Ke = zeros(n_basefuncs, n_basefuncs) + fe = zeros(n_basefuncs) + for cell in CellIterator(dh) + fill!(Ke, 0) + fill!(fe, 0) + reinit!(cellvalues, cell) + assemble_element!(Ke, fe, cellvalues, getcoordinates(cell)) + ## Note that this call should be communication-free! + Ferrite.assemble!(assembler, celldofs(cell), fe, Ke) + end + + ## Finally, for the `PartitionedArraysCOOAssembler` we have to call + ## `end_assemble` to construct the global sparse matrix and the global + ## right hand side vector. + return end_assemble(assembler) +end +#md nothing # hide + +# ### Solution of the system +# Again, we assemble our problem and apply the constraints as needed. +K, f = doassemble(cellvalues, dh) +apply!(K, f, ch) +#md nothing # hide + +# To compute the solution we utilize conjugate gradients because at the time of writing +# this is the only available scalable working solver. +# Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, +# partly due to unimplemented multiplication operators for the matrix data type. +u = cg(K, f) +#md nothing # hide + +# ### Exporting via PVTK +# To visualize the result we export the grid and our field `u` +# to a VTK-file, which can be viewed in e.g. [ParaView](https://www.paraview.org/). +# For debugging purposes it can be helpful to enrich +# the visualization with some meta information about +# the grid and its partitioning. +vtk_grid("heat_equation_distributed", dh) do vtk + vtk_point_data(vtk, dh, u) + vtk_shared_vertices(vtk, dgrid) + vtk_shared_faces(vtk, dgrid) + vtk_shared_edges(vtk, dgrid) #src + vtk_partitioning(vtk, dgrid) +end +#md nothing # hide + +## Test the result against the manufactured solution #src +using Test #src +for cell in CellIterator(dh) #src + reinit!(cellvalues, cell) #src + n_basefuncs = getnbasefunctions(cellvalues) #src + coords = getcoordinates(cell) #src + map(local_values(u)) do u_local #src + uₑ = u_local[celldofs(cell)] #src + for q_point in 1:getnquadpoints(cellvalues) #src + x = spatial_coordinate(cellvalues, q_point, coords) #src + for i in 1:n_basefuncs #src + uₐₙₐ = prod(cos, x*π/2)+dbc_val #src + uₐₚₚᵣₒₓ = function_value(cellvalues, q_point, uₑ) #src + @test isapprox(uₐₙₐ, uₐₚₚᵣₒₓ; atol=1e-1) #src + end #src + end #src + end #src +end #src + +#md # ## [Plain program](@id distributed-assembly-plain-pa) +#md # +#md # Here follows a version of the program without any comments. +#md # The file is also available here: [`distributed_assembly_pa.jl`](distributed_assembly_pa.jl). +#md # +#md # ```julia +#md # @__CODE__ +#md # ``` diff --git a/previews/PR39/objects.inv b/previews/PR39/objects.inv new file mode 100644 index 0000000000000000000000000000000000000000..ef3136f15849d462e926f481d4504894c1fecda5 GIT binary patch literal 783 zcmV+q1MvJKAX9K?X>NERX>N99Zgg*Qc_4OWa&u{KZXhxWBOp+6Z)#;@bUGkLWpZ+9 zbY(Md? zav*PJAarPHb0B7EY-J#6b0A}HZE$jBb8}^6Aa!$TZf78RY-wUH3V58gR$Xt}Fcf{~ zS6JG3Bh6M#tJJp+=*q)3w3SMGicEY7ZXG+bowiZc|2{h;5FnqVeZnI59-n*8u@lM( zJR_yaB@sSyJ|lD^LKwg^4kHH2T?5u0{EM-sf_v*El2EL!t8>wWDlO?U)C0tws)mvRkqh5fy8N*=pt zmM;t4fuy9o(LQm}&tH@8W>M&fHD#*2C4JR4NyJUQKTXpzLl)}Srwp+zaRYmky^C?FoOX&9j_nH|*c82Q;=&`W09MLp%6MYpOt z&3Ba$0TWBiJT5VRQ0Sgru43+|acB<#+EZ&Rfp|bnHmX1lSeGC@>W3WZ5sWZCR8y+= zHm-8q!~99NpK{|$(!EK4xzQ zx-+RUA1j?lDqIBhL|V^d$@ZBiJ4>f0_kc@pX{XuU&`sEb6TR`~L>}24>)giX#rN`K zK06y5bw_8(f=vD+6=YRv!u literal 0 HcmV?d00001 diff --git a/previews/PR39/reference/grid/index.html b/previews/PR39/reference/grid/index.html new file mode 100644 index 0000000..c296ca3 --- /dev/null +++ b/previews/PR39/reference/grid/index.html @@ -0,0 +1,2 @@ + +NODGrid · FerriteDistributed.jl

                    NODGrid

                    FerriteDistributed.NODGridType
                    NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}

                    Scalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.

                    Todo

                    PartitionedArrays.jl ready constructor via extension

                    source
                    FerriteDistributed.NODGridMethod
                    NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})

                    Construct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.

                    source
                    FerriteDistributed.NODGridMethod
                    NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})

                    Construct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.

                    source
                    FerriteDistributed.interface_commFunction
                    interface_comm(::AbstractNODGrid)

                    Get a graph comminicator handle for the process boundary.

                    source
                    interface_comm(::NODGrid)

                    Graph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .

                    source
                    FerriteDistributed.global_rankFunction
                    global_rank(::AbstractNODGrid)

                    Get the 1-based rank of the global communicator of the grid.

                    source
                    global_rank(::NODGrid)

                    Get the rank on the global communicator of the distributed grid.

                    source
                    FerriteDistributed.global_nranksFunction
                    global_nranks(::AbstractNODGrid)

                    Get the number of ranks of the global communicator of the grid.

                    source
                    global_nranks(::NODGrid)

                    Get the number of ranks on the global communicator of the distributed grid.

                    source
                    diff --git a/previews/PR39/reference/interface/index.html b/previews/PR39/reference/interface/index.html new file mode 100644 index 0000000..55f5e7e --- /dev/null +++ b/previews/PR39/reference/interface/index.html @@ -0,0 +1,8 @@ + +Interface · FerriteDistributed.jl

                    Interface

                    FerriteDistributed.get_shared_vertexFunction
                    get_shared_vertex(::AbstractNODGrid, ::VertexIndex)
                    +get_shared_vertex(::AbstractNODGrid, ::VertexRepresentation)

                    Get the shared vertex associated to the vertex, if it exists.

                    source
                    FerriteDistributed.get_shared_edgeFunction
                    get_shared_edge(::AbstractNODGrid, ::EdgeIndex)
                    +get_shared_edge(::AbstractNODGrid, ::EdgeRepresentation)

                    Get the shared edge associated to the edge, if it exists.

                    source
                    FerriteDistributed.get_shared_faceFunction
                    get_shared_face(::AbstractNODGrid, ::FaceIndex)
                    +get_shared_face(::AbstractNODGrid, ::FaceRepresentation)

                    Get the shared edge associated to the face, if it exists.

                    source
                    FerriteDistributed.is_shared_vertexFunction
                    is_shared_vertex(::AbstractNODGrid, ::VertexIndex)
                    +is_shared_vertex(::AbstractNODGrid, ::VertexRepresentation)

                    Check if a VertexIndex is a shared vertex.

                    source
                    diff --git a/previews/PR39/reference/utils/index.html b/previews/PR39/reference/utils/index.html new file mode 100644 index 0000000..712bb67 --- /dev/null +++ b/previews/PR39/reference/utils/index.html @@ -0,0 +1,2 @@ + +Utils · FerriteDistributed.jl

                    Utils

                    FerriteDistributed.create_partitioningFunction
                    create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}

                    Internal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.

                    source
                    diff --git a/previews/PR39/search_index.js b/previews/PR39/search_index.js new file mode 100644 index 0000000..270d198 --- /dev/null +++ b/previews/PR39/search_index.js @@ -0,0 +1,3 @@ +var documenterSearchIndex = {"docs": +[{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"EditURL = \"../literate/heat_equation_hypre.jl\"","category":"page"},{"location":"examples/heat_equation_hypre/#Distributed-Assembly-with-HYPRE.jl","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"section"},{"location":"examples/heat_equation_hypre/#Introduction","page":"Distributed Assembly with HYPRE.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_hypre/#Commented-Program","page":"Distributed Assembly with HYPRE.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Launch MPI and HYPRE","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"MPI.Init()\nHYPRE.Init()\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We start generating a simple grid with 10x10x10 hexahedral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Trial-and-test-functions","page":"Distributed Assembly with HYPRE.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Degrees-of-freedom","page":"Distributed Assembly with HYPRE.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"dh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Boundary-conditions","page":"Distributed Assembly with HYPRE.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc)\nclose!(ch)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Assembling-the-linear-system","page":"Distributed Assembly with HYPRE.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Assembling the system works also mostly analogue. We use the same function to assemble the element as in the serial version.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim\n fill!(Ke, 0)\n fill!(fe, 0)\n\n n_basefuncs = getnbasefunctions(cellvalues)\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n # Manufactured solution of Π cos(xᵢπ)\n x = spatial_coordinate(cellvalues, q_point, cell_coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler, ch::ConstraintHandler)\n # TODO how to put this into an interface?\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n assembler = start_assemble(K, f)\n\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n # For the local assembly nothing changes\n for cell in CellIterator(dh)\n reinit!(cellvalues, cell)\n assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))\n # Local elimination of boundary conditions, because global\n # elimination is not implemented for the HYPRE extension.\n apply_local!(Ke, fe, celldofs(cell), ch)\n # TODO how to put this into an interface?\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n # Finally, for the `HYPREAssembler` we have to call\n # `end_assemble` to construct the global sparse matrix and the global\n # right hand side vector.\n end_assemble(assembler)\n\n return K, f\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Solution-of-the-system","page":"Distributed Assembly with HYPRE.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Again, we assemble our problem. Note that we applied the constraints locally.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"K, f = doassemble(cellvalues, dh, ch)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"We use CG with AMG preconditioner to solve the system.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"precond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"And convert the solution from HYPRE to Ferrite","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"u_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#Exporting-via-PVTK","page":"Distributed Assembly with HYPRE.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView. For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_hypre/#distributed-assembly-plain-hypre","page":"Distributed Assembly with HYPRE.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_hypre.jl.","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"using FerriteDistributed\nusing HYPRE, Metis\n\nimport FerriteDistributed: getglobalgrid, global_comm, local_dof_range #TODO REMOVE THIS\n\nMPI.Init()\nHYPRE.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo)\n\ndh = DofHandler(dgrid)\npush!(dh, :u, 1, ip)\nclose!(dh)\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc)\nclose!(ch)\n\nfunction assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim\n fill!(Ke, 0)\n fill!(fe, 0)\n\n n_basefuncs = getnbasefunctions(cellvalues)\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n # Manufactured solution of Π cos(xᵢπ)\n x = spatial_coordinate(cellvalues, q_point, cell_coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\nend\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler, ch::ConstraintHandler)\n # TODO how to put this into an interface?\n dgrid = getglobalgrid(dh)\n comm = global_comm(dgrid)\n ldofrange = local_dof_range(dh)\n K = HYPREMatrix(comm, first(ldofrange), last(ldofrange))\n f = HYPREVector(comm, first(ldofrange), last(ldofrange))\n assembler = start_assemble(K, f)\n\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n\n # For the local assembly nothing changes\n for cell in CellIterator(dh)\n reinit!(cellvalues, cell)\n assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))\n # Local elimination of boundary conditions, because global\n # elimination is not implemented for the HYPRE extension.\n apply_local!(Ke, fe, celldofs(cell), ch)\n # TODO how to put this into an interface?\n assemble!(assembler, dh.ldof_to_gdof[celldofs(cell)], fe, Ke)\n end\n\n # Finally, for the `HYPREAssembler` we have to call\n # `end_assemble` to construct the global sparse matrix and the global\n # right hand side vector.\n end_assemble(assembler)\n\n return K, f\nend\n\nK, f = doassemble(cellvalues, dh, ch)\n\nprecond = HYPRE.BoomerAMG()\nsolver = HYPRE.PCG(; Precond = precond)\nuₕ = HYPRE.solve(solver, K, f)\n\nu_local = Vector{Float64}(undef, FerriteDistributed.num_local_dofs(dh))\nFerriteDistributed.extract_local_part!(u_local, uₕ, dh)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u_local)\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"","category":"page"},{"location":"examples/heat_equation_hypre/","page":"Distributed Assembly with HYPRE.jl","title":"Distributed Assembly with HYPRE.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"EditURL = \"../literate/heat_equation_pa.jl\"","category":"page"},{"location":"examples/heat_equation_pa/#Distributed-Assembly-with-PartitionedArrays.jl","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"section"},{"location":"examples/heat_equation_pa/#Introduction","page":"Distributed Assembly with PartitionedArrays.jl","title":"Introduction","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we want to solve the heat problem in parallel. To be specific, this example shows how to utilize process parallelism to assemble finite element matrices in parallel. This example presumes that the reader is familiar with solving the heat problem in serial with Ferrite.jl, as presented in the first example.","category":"page"},{"location":"examples/heat_equation_pa/#Commented-Program","page":"Distributed Assembly with PartitionedArrays.jl","title":"Commented Program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Now we solve the problem in Ferrite. What follows is a program spliced with comments. The full program, without comments, can be found in the next section.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"First we load Ferrite, and some other packages we need","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Launch MPI","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"MPI.Init()\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"We start generating a simple grid with 20x20 quadrilateral elements and distribute it across our processors using generate_distributed_grid.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Trial-and-test-functions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Trial and test functions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Degrees-of-freedom","page":"Distributed Assembly with PartitionedArrays.jl","title":"Degrees of freedom","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing changes here, too. The constructor takes care of creating the correct distributed dof handler.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"dh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Boundary-conditions","page":"Distributed Assembly with PartitionedArrays.jl","title":"Boundary conditions","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Nothing has to be changed here either.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"ch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc)\nclose!(ch)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Assembling-the-linear-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Assembling the linear system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Assembling the system works also mostly analogue. Note that the dof handler type changed. We use the same function to assemble the element as in the serial version.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim\n fill!(Ke, 0)\n fill!(fe, 0)\n\n n_basefuncs = getnbasefunctions(cellvalues)\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n # Manufactured solution of Π cos(xᵢπ)\n x = spatial_coordinate(cellvalues, q_point, cell_coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"The synchronization with the global sparse matrix is handled by an assembler again. You can choose from different backends, which are described in the docs and will be expaned over time. This call may trigger a large amount of communication. NOTE: At the time of writing the only backend available is a COO assembly via PartitionedArrays.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"function doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n # For the local assembly nothing changes\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n reinit!(cellvalues, cell)\n assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))\n # Note that this call should be communication-free!\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n # Finally, for the `PartitionedArraysCOOAssembler` we have to call\n # `end_assemble` to construct the global sparse matrix and the global\n # right hand side vector.\n return end_assemble(assembler)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Solution-of-the-system","page":"Distributed Assembly with PartitionedArrays.jl","title":"Solution of the system","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Again, we assemble our problem and apply the constraints as needed.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"K, f = doassemble(cellvalues, dh)\napply!(K, f, ch)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To compute the solution we utilize conjugate gradients because at the time of writing this is the only available scalable working solver. Additional note: At the moment of writing this we have no good preconditioners for PSparseMatrix in Julia, partly due to unimplemented multiplication operators for the matrix data type.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"u = cg(K, f)\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#Exporting-via-PVTK","page":"Distributed Assembly with PartitionedArrays.jl","title":"Exporting via PVTK","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"To visualize the result we export the grid and our field u to a VTK-file, which can be viewed in e.g. ParaView. For debugging purposes it can be helpful to enrich the visualization with some meta information about the grid and its partitioning.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"vtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend\nnothing # hide","category":"page"},{"location":"examples/heat_equation_pa/#distributed-assembly-plain-pa","page":"Distributed Assembly with PartitionedArrays.jl","title":"Plain program","text":"","category":"section"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"Here follows a version of the program without any comments. The file is also available here: distributed_assembly_pa.jl.","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"using FerriteDistributed\nusing PartitionedArrays, Metis\nusing IterativeSolvers\n\nMPI.Init()\n\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Hexahedron, (10, 10, 10); partitioning_alg=FerriteDistributed.PartitioningAlgorithm.Metis(:RECURSIVE))\n\nref = RefHexahedron\nip = Lagrange{ref, 2}()\nip_geo = Lagrange{ref, 1}()\nqr = QuadratureRule{ref}(3)\ncellvalues = CellValues(qr, ip, ip_geo)\n\ndh = DofHandler(dgrid)\nadd!(dh, :u, ip)\nclose!(dh)\n\nch = ConstraintHandler(dh);\n∂Ω = union(getfaceset.((dgrid, ), [\"left\", \"right\", \"top\", \"bottom\", \"front\", \"back\"])...);\ndbc = Dirichlet(:u, ∂Ω, (x, t) -> 0)\nadd!(ch, dbc)\nclose!(ch)\n\nfunction assemble_element!(Ke, fe, cellvalues, cell_coords::AbstractVector{<:Vec{dim}}) where dim\n fill!(Ke, 0)\n fill!(fe, 0)\n\n n_basefuncs = getnbasefunctions(cellvalues)\n for q_point in 1:getnquadpoints(cellvalues)\n dΩ = getdetJdV(cellvalues, q_point)\n\n for i in 1:n_basefuncs\n v = shape_value(cellvalues, q_point, i)\n ∇v = shape_gradient(cellvalues, q_point, i)\n # Manufactured solution of Π cos(xᵢπ)\n x = spatial_coordinate(cellvalues, q_point, cell_coords)\n fe[i] += (π/2)^2 * dim * prod(cos, x*π/2) * v * dΩ\n\n for j in 1:n_basefuncs\n ∇u = shape_gradient(cellvalues, q_point, j)\n Ke[i, j] += (∇v ⋅ ∇u) * dΩ\n end\n end\n end\nend\n\nfunction doassemble(cellvalues::CellValues, dh::FerriteDistributed.NODDofHandler{dim}) where {dim}\n assembler = start_assemble(dh, distribute_with_mpi(LinearIndices((MPI.Comm_size(MPI.COMM_WORLD),))))\n\n # For the local assembly nothing changes\n n_basefuncs = getnbasefunctions(cellvalues)\n Ke = zeros(n_basefuncs, n_basefuncs)\n fe = zeros(n_basefuncs)\n for cell in CellIterator(dh)\n fill!(Ke, 0)\n fill!(fe, 0)\n reinit!(cellvalues, cell)\n assemble_element!(Ke, fe, cellvalues, getcoordinates(cell))\n # Note that this call should be communication-free!\n Ferrite.assemble!(assembler, celldofs(cell), fe, Ke)\n end\n\n # Finally, for the `PartitionedArraysCOOAssembler` we have to call\n # `end_assemble` to construct the global sparse matrix and the global\n # right hand side vector.\n return end_assemble(assembler)\nend\n\nK, f = doassemble(cellvalues, dh)\napply!(K, f, ch)\n\nu = cg(K, f)\n\nvtk_grid(\"heat_equation_distributed\", dh) do vtk\n vtk_point_data(vtk, dh, u)\n vtk_shared_vertices(vtk, dgrid)\n vtk_shared_faces(vtk, dgrid)\n vtk_partitioning(vtk, dgrid)\nend","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"","category":"page"},{"location":"examples/heat_equation_pa/","page":"Distributed Assembly with PartitionedArrays.jl","title":"Distributed Assembly with PartitionedArrays.jl","text":"This page was generated using Literate.jl.","category":"page"},{"location":"reference/interface/#Interface","page":"Interface","title":"Interface","text":"","category":"section"},{"location":"reference/interface/","page":"Interface","title":"Interface","text":"get_shared_vertices\nget_shared_vertex\nget_shared_edges\nget_shared_edge\nget_shared_faces\nget_shared_face\nis_shared_vertex\nis_shared_edge\nis_shared_face\ngetlocalgrid","category":"page"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertices","page":"Interface","title":"FerriteDistributed.get_shared_vertices","text":"get_shared_vertices(::AbstractNODGrid)\n\nGet an interable over the shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_vertex","page":"Interface","title":"FerriteDistributed.get_shared_vertex","text":"get_shared_vertex(::AbstractNODGrid, ::VertexIndex)\nget_shared_vertex(::AbstractNODGrid, ::VertexRepresentation)\n\nGet the shared vertex associated to the vertex, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edges","page":"Interface","title":"FerriteDistributed.get_shared_edges","text":"getsharededges(::AbstractNODGrid)\n\nGet an interable over the shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_edge","page":"Interface","title":"FerriteDistributed.get_shared_edge","text":"get_shared_edge(::AbstractNODGrid, ::EdgeIndex)\nget_shared_edge(::AbstractNODGrid, ::EdgeRepresentation)\n\nGet the shared edge associated to the edge, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_faces","page":"Interface","title":"FerriteDistributed.get_shared_faces","text":"get_shared_faces(::AbstractNODGrid)\n\nGet an interable over the shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.get_shared_face","page":"Interface","title":"FerriteDistributed.get_shared_face","text":"get_shared_face(::AbstractNODGrid, ::FaceIndex)\nget_shared_face(::AbstractNODGrid, ::FaceRepresentation)\n\nGet the shared edge associated to the face, if it exists.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_vertex","page":"Interface","title":"FerriteDistributed.is_shared_vertex","text":"is_shared_vertex(::AbstractNODGrid, ::VertexIndex)\nis_shared_vertex(::AbstractNODGrid, ::VertexRepresentation)\n\nCheck if a VertexIndex is a shared vertex.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_edge","page":"Interface","title":"FerriteDistributed.is_shared_edge","text":"is_shared_edge(::AbstractNODGrid, ::EdgeIndex)\nis_shared_edge(::AbstractNODGrid, ::EdgeRepresentation)\n\nCheck if a EdgeIndex is a shared edge.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.is_shared_face","page":"Interface","title":"FerriteDistributed.is_shared_face","text":"is_shared_face(::AbstractNODGrid, ::FaceIndex)\nis_shared_face(::AbstractNODGrid, ::FaceRepresentation)\n\nCheck if a FaceIndex is a shared face.\n\n\n\n\n\n","category":"function"},{"location":"reference/interface/#FerriteDistributed.getlocalgrid","page":"Interface","title":"FerriteDistributed.getlocalgrid","text":"getlocalgrid(::AbstractNODGrid)\n\nGet the representative local grid containing only a vanilla local grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"CurrentModule = FerriteDistributed\nDocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"reference/grid/#NODGrid","page":"NODGrid","title":"NODGrid","text":"","category":"section"},{"location":"reference/grid/","page":"NODGrid","title":"NODGrid","text":"NODGrid\nNODGrid(::MPI.Comm, ::Grid)\nNODGrid(::MPI.Comm, ::Grid, ::CoverTopology, ::Vector{Int})\nFerriteDistributed.SharedEntity\nFerriteDistributed.SharedVertex\nFerriteDistributed.SharedFace\nFerriteDistributed.SharedEdge\nFerriteDistributed.remote_entities\nFerriteDistributed.global_comm\nFerriteDistributed.interface_comm\nFerriteDistributed.global_rank\nFerriteDistributed.global_nranks","category":"page"},{"location":"reference/grid/#FerriteDistributed.NODGrid","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid{dim,C<:AbstractCell,T<:Real} <: AbstractNODGrid{dim}\n\nScalable non-overlapping distributed grid. This data structure is composed of a local_grid and full topological information on the process boundary, i.e. how vertices, edges and faces are connectedted between processes.\n\ntodo: Todo\nPartitionedArrays.jl ready constructor via extension\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T})\n\nConstruct a non-overlapping distributed grid from a grid with the SFC induced by the element ordering on a specified MPI communicator. It is assumed that this function is called with exactly the same grid on each MPI process in the communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.NODGrid-Tuple{MPI.Comm, Grid, FerriteDistributed.CoverTopology, Vector{Int64}}","page":"NODGrid","title":"FerriteDistributed.NODGrid","text":"NODGrid(grid_comm::MPI.Comm, grid_to_distribute::Grid{dim,C,T}, grid_topology::CoverTopology, partitioning::Vector{<:Integer})\n\nConstruct a non-overlapping distributed grid from a grid with given topology and partitioning on a specified MPI communicator.\n\n\n\n\n\n","category":"method"},{"location":"reference/grid/#FerriteDistributed.SharedEntity","page":"NODGrid","title":"FerriteDistributed.SharedEntity","text":"SharedEntity\n\nSupertype for shared entities.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedVertex","page":"NODGrid","title":"FerriteDistributed.SharedVertex","text":"SharedVertex <: SharedEntity\n\nA shared vertex induced by a local vertex index and all remote vertex indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedFace","page":"NODGrid","title":"FerriteDistributed.SharedFace","text":"SharedFace <: SharedEntity\n\nA shared face induced by a local face index and all remote face indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.SharedEdge","page":"NODGrid","title":"FerriteDistributed.SharedEdge","text":"SharedEdge <: SharedEntity\n\nA shared edge induced by a local edge index and all remote edge indices on all remote ranks.\n\n\n\n\n\n","category":"type"},{"location":"reference/grid/#FerriteDistributed.remote_entities","page":"NODGrid","title":"FerriteDistributed.remote_entities","text":"remote_entities(::SharedEntity)\n\nGet an iterable of pairs, containing the 1-based rank and a collection of EntityIndices on the rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_comm","page":"NODGrid","title":"FerriteDistributed.global_comm","text":"global_comm(::AbstractNODGrid)\n\nGet a communicator handle for the full grid.\n\n\n\n\n\nglobal_comm(::NODGrid)\n\nGlobal dense communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.interface_comm","page":"NODGrid","title":"FerriteDistributed.interface_comm","text":"interface_comm(::AbstractNODGrid)\n\nGet a graph comminicator handle for the process boundary.\n\n\n\n\n\ninterface_comm(::NODGrid)\n\nGraph communicator for shared vertices. Guaranteed to be derived from the communicator returned by @global_comm .\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_rank","page":"NODGrid","title":"FerriteDistributed.global_rank","text":"global_rank(::AbstractNODGrid)\n\nGet the 1-based rank of the global communicator of the grid.\n\n\n\n\n\nglobal_rank(::NODGrid)\n\nGet the rank on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"reference/grid/#FerriteDistributed.global_nranks","page":"NODGrid","title":"FerriteDistributed.global_nranks","text":"global_nranks(::AbstractNODGrid)\n\nGet the number of ranks of the global communicator of the grid.\n\n\n\n\n\nglobal_nranks(::NODGrid)\n\nGet the number of ranks on the global communicator of the distributed grid.\n\n\n\n\n\n","category":"function"},{"location":"","page":"Home","title":"Home","text":"DocTestSetup = :(using FerriteDistributed)","category":"page"},{"location":"#FerriteDistributed.jl","page":"Home","title":"FerriteDistributed.jl","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"Non-overlapping distributed grids for Ferrite.jl.","category":"page"},{"location":"","page":"Home","title":"Home","text":"note: Note\nThis package is still experimental and may break!","category":"page"},{"location":"#Usage","page":"Home","title":"Usage","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The usage of this package is straight forward. Either generate the non-overlapping distributed grid directly via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing FerriteDistributed\nMPI.Init()\ndgrid = generate_nod_grid(MPI.COMM_WORLD, Quadrilateral, (100, 100))","category":"page"},{"location":"","page":"Home","title":"Home","text":"or distribute your own grid","category":"page"},{"location":"","page":"Home","title":"Home","text":"using MPI\nusing Ferrite, FerriteDistributed\nMPI.Init()\ngrid = ...\ndgrid = NODGrid(MPI.COMM_WORLD, grid, FerriteDistributed.PartitioningAlgorithm.SFC())","category":"page"},{"location":"","page":"Home","title":"Home","text":"for more details on the calls please consult the API docs.","category":"page"},{"location":"#Debugging-Information","page":"Home","title":"Debugging Information","text":"","category":"section"},{"location":"","page":"Home","title":"Home","text":"The debug mode for this package is tied to the debug mode of Ferrite. Hence, it can be turned on via","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode()","category":"page"},{"location":"","page":"Home","title":"Home","text":"followed by restarting the Julia process. It can be turned off again by calling","category":"page"},{"location":"","page":"Home","title":"Home","text":"using Ferrite\nFerrite.debug_mode(enable=false)","category":"page"},{"location":"","page":"Home","title":"Home","text":"also followed by restarting the Julia process.","category":"page"},{"location":"reference/utils/#Utils","page":"Utils","title":"Utils","text":"","category":"section"},{"location":"reference/utils/","page":"Utils","title":"Utils","text":"generate_nod_grid\ncreate_partitioning\ncompute_owner\nvtk_shared_edges\nvtk_shared_faces\nvtk_shared_vertices\nvtk_partitioning","category":"page"},{"location":"reference/utils/#FerriteDistributed.generate_nod_grid","page":"Utils","title":"FerriteDistributed.generate_nod_grid","text":"generate_nod_grid(comm::MPI.Comm, args...)\n\nHelper to directly generate non-overlapping distributed grids, designed to replace the call to generate_grid for use in distributed environments.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.create_partitioning","page":"Utils","title":"FerriteDistributed.create_partitioning","text":"create_partitioning(::Ferrite.AbstractGrid, ::Ferrite.AbstractTopology, nparts::Int, partition_alg)::Vector{Int}\n\nInternal entry point for the construction of Ferrite.jl grid partitionings. Creates a vector where the index corresponds to the cell index of the input grid and the value is the 1-based rank.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.compute_owner","page":"Utils","title":"FerriteDistributed.compute_owner","text":"compute_owner(::AbstractNODGrid, ::SharedEntity)\n\nCompute which rank (1-based index) owns the corresponding entity. \n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_edges","page":"Utils","title":"FerriteDistributed.vtk_shared_edges","text":"Enrich the VTK file with meta information about shared edges.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_faces","page":"Utils","title":"FerriteDistributed.vtk_shared_faces","text":"Enrich the VTK file with meta information about shared faces.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_shared_vertices","page":"Utils","title":"FerriteDistributed.vtk_shared_vertices","text":"Enrich the VTK file with meta information about shared vertices.\n\n\n\n\n\n","category":"function"},{"location":"reference/utils/#FerriteDistributed.vtk_partitioning","page":"Utils","title":"FerriteDistributed.vtk_partitioning","text":"Enrich the VTK file with partitioning meta information.\n\n\n\n\n\n","category":"function"}] +} diff --git a/previews/PR39/siteinfo.js b/previews/PR39/siteinfo.js new file mode 100644 index 0000000..c08dc8b --- /dev/null +++ b/previews/PR39/siteinfo.js @@ -0,0 +1 @@ +var DOCUMENTER_CURRENT_VERSION = "previews/PR39"; diff --git a/versions.js b/versions.js index d1b35b0..4ec0f8f 100644 --- a/versions.js +++ b/versions.js @@ -1,2 +1,5 @@ var DOC_VERSIONS = [ + "dev", ]; +var DOCUMENTER_NEWEST = "dev"; +var DOCUMENTER_STABLE = "dev";