/[MITgcm]/manual/s_algorithm/text/spatial-discrete.tex
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revision 1.11 by adcroft, Tue Nov 13 18:15:26 2001 UTC revision 1.15 by edhill, Tue Apr 20 23:32:59 2004 UTC
# Line 14  horizontal and vertical directions as se Line 14  horizontal and vertical directions as se
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16  \subsection{The finite volume method: finite volumes versus finite difference}  \subsection{The finite volume method: finite volumes versus finite difference}
17    \begin{rawhtml}
18    <!-- CMIREDIR:finite_volume: -->
19    \end{rawhtml}
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23  The finite volume method is used to discretize the equations in  The finite volume method is used to discretize the equations in
24  space. The expression ``finite volume'' actually has two meanings; one  space. The expression ``finite volume'' actually has two meanings; one
# Line 387  $\Delta r_c^{-1}$: {\bf RECIP\_DRc} ({\e Line 392  $\Delta r_c^{-1}$: {\bf RECIP\_DRc} ({\e
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394  \subsection{Topography: partially filled cells}  \subsection{Topography: partially filled cells}
395    \begin{rawhtml}
396    <!-- CMIREDIR:topo_partial_cells: -->
397    \end{rawhtml}
398    
399  \begin{figure}  \begin{figure}
400  \begin{center}  \begin{center}
# Line 471  continuity equation which can be summari Line 479  continuity equation which can be summari
479  \end{eqnarray}  \end{eqnarray}
480  where the continuity equation has been most naturally discretized by  where the continuity equation has been most naturally discretized by
481  staggering the three components of velocity as shown in  staggering the three components of velocity as shown in
482  Fig.~\ref{fig-cgrid3d}. The grid lengths $\Delta x_c$ and $\Delta y_c$  Fig.~\ref{fig:cgrid3d}. The grid lengths $\Delta x_c$ and $\Delta y_c$
483  are the lengths between tracer points (cell centers). The grid lengths  are the lengths between tracer points (cell centers). The grid lengths
484  $\Delta x_g$, $\Delta y_g$ are the grid lengths between cell  $\Delta x_g$, $\Delta y_g$ are the grid lengths between cell
485  corners. $\Delta r_f$ and $\Delta r_c$ are the distance (in units of  corners. $\Delta r_f$ and $\Delta r_c$ are the distance (in units of
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