/[MITgcm]/manual/s_algorithm/text/spatial-discrete.tex
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revision 1.13 by afe, Tue Mar 23 15:29:40 2004 UTC revision 1.16 by jmc, Wed Oct 13 18:50:54 2004 UTC
# Line 15  horizontal and vertical directions as se Line 15  horizontal and vertical directions as se
15    
16  \subsection{The finite volume method: finite volumes versus finite difference}  \subsection{The finite volume method: finite volumes versus finite difference}
17  \begin{rawhtml}  \begin{rawhtml}
18  <!-- CMIREDIR:finite_volume -->  <!-- CMIREDIR:finite_volume: -->
19  \end{rawhtml}  \end{rawhtml}
20    
21    
# Line 366  vertical grid descriptors are stored in Line 366  vertical grid descriptors are stored in
366    
367  The above grid (Fig.~\ref{fig:vgrid}a) is known as the cell centered  The above grid (Fig.~\ref{fig:vgrid}a) is known as the cell centered
368  approach because the tracer points are at cell centers; the cell  approach because the tracer points are at cell centers; the cell
369  centers are mid-way between the cell interfaces. An alternative, the  centers are mid-way between the cell interfaces.
370  vertex or interface centered approach, is shown in  This discretisation is selected when the thickness of the
371    levels are provided ({\bf delR}, parameter file {\em data},
372    namelist {\em PARM04})
373    An alternative, the vertex or interface centered approach, is shown in
374  Fig.~\ref{fig:vgrid}b. Here, the interior interfaces are positioned  Fig.~\ref{fig:vgrid}b. Here, the interior interfaces are positioned
375  mid-way between the tracer nodes (no longer cell centers). This  mid-way between the tracer nodes (no longer cell centers). This
376  approach is formally more accurate for evaluation of hydrostatic  approach is formally more accurate for evaluation of hydrostatic
377  pressure and vertical advection but historically the cell centered  pressure and vertical advection but historically the cell centered
378  approach has been used. An alternative form of subroutine {\em  approach has been used. An alternative form of subroutine {\em
379  INI\_VERTICAL\_GRID} is used to select the interface centered approach  INI\_VERTICAL\_GRID} is used to select the interface centered approach
380  but no run time option is currently available.  This form requires to specify $Nr+1$ vertical distances {\bf delRc}
381    (parameter file {\em data}, namelist {\em PARM04}, e.g.
382    {\em verification/ideal\_2D\_oce/input/data})
383    corresponding to surface to center, $Nr-1$ center to center, and center to
384    bottom distances.
385    %but no run time option is currently available.
386    
387  \fbox{ \begin{minipage}{4.75in}  \fbox{ \begin{minipage}{4.75in}
388  {\em S/R INI\_VERTICAL\_GRID} ({\em  {\em S/R INI\_VERTICAL\_GRID} ({\em
# Line 392  $\Delta r_c^{-1}$: {\bf RECIP\_DRc} ({\e Line 400  $\Delta r_c^{-1}$: {\bf RECIP\_DRc} ({\e
400    
401    
402  \subsection{Topography: partially filled cells}  \subsection{Topography: partially filled cells}
403    \begin{rawhtml}
404    <!-- CMIREDIR:topo_partial_cells: -->
405    \end{rawhtml}
406    
407  \begin{figure}  \begin{figure}
408  \begin{center}  \begin{center}
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