/[MITgcm]/manual/s_algorithm/text/time_stepping.tex
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revision 1.15 by cnh, Thu Feb 28 19:32:19 2002 UTC revision 1.16 by edhill, Thu Aug 7 18:27:52 2003 UTC
# Line 81  temporary.} Line 81  temporary.}
81  \begin{figure}  \begin{figure}
82  \begin{center} \fbox{ \begin{minipage}{4.5in} \begin{tabbing}  \begin{center} \fbox{ \begin{minipage}{4.5in} \begin{tabbing}
83  aaa \= aaa \= aaa \= aaa \= aaa \= aaa \kill  aaa \= aaa \= aaa \= aaa \= aaa \= aaa \kill
84  \proclink{FORWARD\_STEP}{../code/._model_src_forward_step.F} \\  \filelink{FORWARD\_STEP}{model-src-forward_step.F} \\
85  \> DYNAMICS \\  \> DYNAMICS \\
86  \>\> TIMESTEP \` $u^*$,$v^*$ (\ref{eq:ustar-rigid-lid},\ref{eq:vstar-rigid-lid}) \\  \>\> TIMESTEP \` $u^*$,$v^*$ (\ref{eq:ustar-rigid-lid},\ref{eq:vstar-rigid-lid}) \\
87  \> SOLVE\_FOR\_PRESSURE \\  \> SOLVE\_FOR\_PRESSURE \\
# Line 91  aaa \= aaa \= aaa \= aaa \= aaa \= aaa \ Line 91  aaa \= aaa \= aaa \= aaa \= aaa \= aaa \
91  \>\> CALC\_GRAD\_PHI\_SURF \` $\nabla \eta^{n+1}$ \\  \>\> CALC\_GRAD\_PHI\_SURF \` $\nabla \eta^{n+1}$ \\
92  \>\> CORRECTION\_STEP \` $u^{n+1}$,$v^{n+1}$ (\ref{eq:un+1-rigid-lid},\ref{eq:vn+1-rigid-lid})  \>\> CORRECTION\_STEP \` $u^{n+1}$,$v^{n+1}$ (\ref{eq:un+1-rigid-lid},\ref{eq:vn+1-rigid-lid})
93  \end{tabbing} \end{minipage} } \end{center}  \end{tabbing} \end{minipage} } \end{center}
94  \caption{Calling tree for the pressure method algorihtm}  \caption{Calling tree for the pressure method algorithm
95      (\filelink{FORWARD\_STEP}{model-src-forward_step.F})}
96  \label{fig:call-tree-pressure-method}  \label{fig:call-tree-pressure-method}
97  \end{figure}  \end{figure}
98    
# Line 173  The correspondence to the code is as fol Line 174  The correspondence to the code is as fol
174  \item  \item
175  the prognostic phase, equations \ref{eq:ustar-rigid-lid} and \ref{eq:vstar-rigid-lid},  the prognostic phase, equations \ref{eq:ustar-rigid-lid} and \ref{eq:vstar-rigid-lid},
176  stepping forward $u^n$ and $v^n$ to $u^{*}$ and $v^{*}$ is coded in  stepping forward $u^n$ and $v^n$ to $u^{*}$ and $v^{*}$ is coded in
177  \proclink{TIMESTEP}{../code/._model_src_timestep.F}  \filelink{TIMESTEP()}{model-src-timestep.F}
178  \item  \item
179  the vertical integration, $H \widehat{u^*}$ and $H  the vertical integration, $H \widehat{u^*}$ and $H
180  \widehat{v^*}$, divergence and inversion of the elliptic operator in  \widehat{v^*}$, divergence and inversion of the elliptic operator in
181  equation \ref{eq:elliptic} is coded in  equation \ref{eq:elliptic} is coded in
182  \proclink{SOLVE\_FOR\_PRESSURE}{../code/._model_src_solve_for_pressure.F}  \filelink{SOLVE\_FOR\_PRESSURE()}{model-src-solve_for_pressure.F}
183  \item  \item
184  finally, the new flow field at time level $n+1$ given by equations  finally, the new flow field at time level $n+1$ given by equations
185  \ref{eq:un+1-rigid-lid} and \ref{eq:vn+1-rigid-lid} is calculated in  \ref{eq:un+1-rigid-lid} and \ref{eq:vn+1-rigid-lid} is calculated in
186  \proclink{CORRECTION\_STEP}{../code/._model_src_correction_step.F}.  \filelink{CORRECTION\_STEP()}{model-src-correction_step.F}.
187  \end{itemize}  \end{itemize}
188  The calling tree for these routines is given in  The calling tree for these routines is given in
189  Fig.~\ref{fig:call-tree-pressure-method}.  Fig.~\ref{fig:call-tree-pressure-method}.
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