| 6 |
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|
| 7 |
\subsubsection {Introduction} |
\subsubsection {Introduction} |
| 8 |
|
|
| 9 |
The gridalt package is designed to allow different components of MITgcm to |
The gridalt package \citep{mol:09} |
| 10 |
|
is designed to allow different components of MITgcm to |
| 11 |
be run using horizontal and/or vertical grids which are different from the main |
be run using horizontal and/or vertical grids which are different from the main |
| 12 |
model grid. The gridalt routines handle the definition of the all the various |
model grid. The gridalt routines handle the definition of the all the various |
| 13 |
alternative grid(s) and the mappings between them and the MITgcm grid. |
alternative grid(s) and the mappings between them and the MITgcm grid. |
| 44 |
\begin{figure}[htbp] |
\begin{figure}[htbp] |
| 45 |
\vspace*{-0.4in} |
\vspace*{-0.4in} |
| 46 |
\begin{center} |
\begin{center} |
| 47 |
\includegraphics[height=2.4in]{part6/vertical.eps} |
\includegraphics[height=2.4in]{s_phys_pkgs/figs/vertical.eps} |
| 48 |
\caption{Vertical discretization for MITgcm (dark grey lines) and for the |
\caption{Vertical discretization for MITgcm (dark grey lines) and for the |
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atmospheric physics (light grey lines). In this implementation, all MITgcm level |
atmospheric physics (light grey lines). In this implementation, all MITgcm level |
| 50 |
interfaces must coincide with atmospheric physics level interfaces.} |
interfaces must coincide with atmospheric physics level interfaces.} |
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a second set of evolution equations for the atmospheric state variables on the modified grid. |
a second set of evolution equations for the atmospheric state variables on the modified grid. |
| 70 |
If the equation for the evolution of $U$ on $p^*$ can be expressed as: |
If the equation for the evolution of $U$ on $p^*$ can be expressed as: |
| 71 |
\[ |
\[ |
| 72 |
\left . {\partial U \over {\partial t}} \right |_{p^*}^{total} = |
\left . \frac{\partial U}{\partial t} \right |_{p^*}^{total} = |
| 73 |
\left . {\partial U \over {\partial t}} \right |_{p^*}^{dynamics} + |
\left . \frac{\partial U}{\partial t} \right |_{p^*}^{dynamics} + |
| 74 |
\left . {\partial U \over {\partial t}} \right |_{p^*}^{physics} |
\left . \frac{\partial U}{\partial t} \right |_{p^*}^{physics} |
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\] |
\] |
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where the physics forcing terms on $p^*$ have been mapped from the modified grid, then an additional |
where the physics forcing terms on $p^*$ have been mapped from the modified grid, then an additional |
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equation to govern the evolution of $U$ (for example) on the modified grid is written: |
equation to govern the evolution of $U$ (for example) on the modified grid is written: |
| 78 |
\[ |
\[ |
| 79 |
\left . {\partial U \over {\partial t}} \right |_{p^{*m}}^{total} = |
\left . \frac{\partial U}{\partial t} \right |_{p^{*m}}^{total} = |
| 80 |
\left . {\partial U \over {\partial t}} \right |_{p^{*m}}^{dynamics} + |
\left . \frac{\partial U}{\partial t} \right |_{p^{*m}}^{dynamics} + |
| 81 |
\left . {\partial U \over {\partial t}} \right |_{p^{*m}}^{physics} + |
\left . \frac{\partial U}{\partial t} \right |_{p^{*m}}^{physics} + |
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\gamma ({\left . U \right |_{p^*}} - {\left . U \right |_{p^{*m}}}) |
\gamma ({\left . U \right |_{p^*}} - {\left . U \right |_{p^{*m}}}) |
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\] |
\] |
| 84 |
where $p^{*m}$ refers to the modified higher resolution grid, and the dynamics forcing terms have |
where $p^{*m}$ refers to the modified higher resolution grid, and the dynamics forcing terms have |
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