/[MITgcm]/manual/s_algorithm/text/spatial-discrete.tex
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revision 1.23 by jmc, Fri Aug 27 13:08:18 2010 UTC revision 1.25 by jmc, Wed Jun 14 21:05:01 2017 UTC
# Line 148  is bordered by the lengths $\Delta x_f$ Line 148  is bordered by the lengths $\Delta x_f$
148  The model domain is decomposed into tiles and within each tile a  The model domain is decomposed into tiles and within each tile a
149  quasi-regular grid is used. A tile is the basic unit of domain  quasi-regular grid is used. A tile is the basic unit of domain
150  decomposition for parallelization but may be used whether parallelized  decomposition for parallelization but may be used whether parallelized
151  or not; see section \ref{sect:domain_decomposition} for more details.  or not; see section \ref{sec:domain_decomposition} for more details.
152  Although the tiles may be patched together in an unstructured manner  Although the tiles may be patched together in an unstructured manner
153  (i.e. irregular or non-tessilating pattern), the interior of tiles is  (i.e. irregular or non-tessilating pattern), the interior of tiles is
154  a structured grid of quadrilateral cells. The horizontal coordinate  a structured grid of quadrilateral cells. The horizontal coordinate
# Line 167  In the following, we refer to the orient Line 167  In the following, we refer to the orient
167  computational grid using geographic terminology such as points of the  computational grid using geographic terminology such as points of the
168  compass.  compass.
169  \marginpar{Caution!}  \marginpar{Caution!}
170  This is purely for convenience but should note be confused  This is purely for convenience but should not be confused
171  with the actual geographic orientation of model quantities.  with the actual geographic orientation of model quantities.
172    
173  Fig.~\ref{fig:hgrid}a shows the tracer cell (synonymous with the  Fig.~\ref{fig:hgrid}a shows the tracer cell (synonymous with the
# Line 194  The ``z'' suffix indicates that the leng Line 194  The ``z'' suffix indicates that the leng
194  cell centers and the ``$\zeta$'' suffix associates points with the  cell centers and the ``$\zeta$'' suffix associates points with the
195  vorticity points. The quantities are staggered in space and the  vorticity points. The quantities are staggered in space and the
196  indexing is such that {\bf DXc(i,j)} is positioned to the north of  indexing is such that {\bf DXc(i,j)} is positioned to the north of
197  {\bf rAc(i,j)} and {\bf DYc(i,j)} positioned to the east.  {\bf rAz(i,j)} and {\bf DYc(i,j)} positioned to the east.
198    
199  Fig.~\ref{fig:hgrid}c shows the ``u'' or western (w) cell. The length of  Fig.~\ref{fig:hgrid}c shows the ``u'' or western (w) cell. The length of
200  the southern edge, $\Delta x_v$, eastern edge, $\Delta y_f$ and  the southern edge, $\Delta x_v$, eastern edge, $\Delta y_f$ and
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