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Update documentation
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apcraig committed Mar 25, 2024
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14 changes: 7 additions & 7 deletions doc/source/user_guide/ug_implementation.rst
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Expand Up @@ -277,14 +277,14 @@ the namelist variable ``ns_boundary_type``, ‘tripole’ for the U-fold and
‘tripoleT’ for the T-fold grid.

In the U-fold tripole grid, the poles have U-index
:math:`nx_global/2` and :math:`nx_global` on the top U-row of the
physical grid, and points with U-index :math:`i` and :math:`nx_global-i`
:math:`nx\_global/2` and :math:`nx\_global` on the top U-row of the
physical grid, and points with U-index :math:`i` and :math:`nx\_global-i`
are coincident. Let the fold have U-row index :math:`n` on the global
grid; this will also be the T-row index of the T-row to the south of the
fold. There are ghost (halo) T- and U-rows to the north, beyond the
fold, on the logical grid. The point with index i along the ghost T-row
of index :math:`n+1` physically coincides with point
:math:`nx_global-i+1` on the T-row of index :math:`n`. The
:math:`nx\_global-i+1` on the T-row of index :math:`n`. The
ghost U-row of index :math:`n+1` physically coincides with the U-row of
index :math:`n-1`. In the schematics below, symbols A-H represent
grid points from 1:nx_global at a given j index and the setup of the
Expand All @@ -310,15 +310,15 @@ tripole seam is depicted within a few rows of the seam.


In the T-fold tripole grid, the poles have T-index :math:`1` and and
:math:`nx_global/2+1` on the top T-row of the physical grid, and
points with T-index :math:`i` and :math:`nx_global-i+2` are
:math:`nx\_global/2+1` on the top T-row of the physical grid, and
points with T-index :math:`i` and :math:`nx\_global-i+2` are
coincident. Let the fold have T-row index :math:`n` on the global grid.
It is usual for the northernmost row of the physical domain to be a
U-row, but in the case of the T-fold, the U-row of index :math:`n` is
“beyond” the fold; although it is not a ghost row, it is not physically
independent, because it coincides with U-row :math:`n-1`, and it
therefore has to be treated like a ghost row. Points i on U-row
:math:`n` coincides with :math:`nx_global-i+1` on U-row
:math:`n` coincides with :math:`nx\_global-i+1` on U-row
:math:`n-1`. There are still ghost T- and U-rows :math:`n+1` to the
north of U-row :math:`n`. Ghost T-row :math:`n+1` coincides with T-row
:math:`n-1`, and ghost U-row :math:`n+1` coincides with U-row
Expand Down Expand Up @@ -1104,7 +1104,7 @@ next time step. The subcycling time step (:math:`\Delta
t_e`) is thus

.. math::
dte = dt_dyn/ndte.
dte = dt\_dyn/ndte.
A second parameter, :math:`E_\circ` (``elasticDamp``), defines the elastic wave
damping timescale :math:`T`, described in Section :ref:`dynam`, as
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