diff --git a/doc/source/user_guide/ug_implementation.rst b/doc/source/user_guide/ug_implementation.rst index 949d6c34f..7d172e91d 100644 --- a/doc/source/user_guide/ug_implementation.rst +++ b/doc/source/user_guide/ug_implementation.rst @@ -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 @@ -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 @@ -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