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\section{Global Ocean Simulation at 4$^\circ$ Resolution} |
\section[Global Ocean MITgcm Exmaple]{Global Ocean Simulation at $4^\circ$ Resolution} |
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\label{www:tutorials} |
\label{www:tutorials} |
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\label{sect:eg-global} |
\label{sect:eg-global} |
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\bodytext{bgcolor="#FFFFFFFF"} |
\bodytext{bgcolor="#FFFFFFFF"} |
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the planetary ocean circulation. The simulation is configured |
the planetary ocean circulation. The simulation is configured |
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with realistic geography and bathymetry on a |
with realistic geography and bathymetry on a |
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$4^{\circ} \times 4^{\circ}$ spherical polar grid. |
$4^{\circ} \times 4^{\circ}$ spherical polar grid. |
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The files for this experiment are in the verification directory |
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under tutorial\_global\_oce\_latlon. |
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Twenty levels are used in the vertical, ranging in thickness |
Twenty levels are used in the vertical, ranging in thickness |
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from $50\,{\rm m}$ at the surface to $815\,{\rm m}$ at depth, |
from $50\,{\rm m}$ at the surface to $815\,{\rm m}$ at depth, |
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giving a maximum model depth of $6\,{\rm km}$. |
giving a maximum model depth of $6\,{\rm km}$. |
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This value is chosen to yield a Munk layer width \cite{adcroft:95}, |
This value is chosen to yield a Munk layer width \cite{adcroft:95}, |
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\begin{eqnarray} |
\begin{eqnarray} |
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\label{EQ:eg-global-munk_layer} |
\label{EQ:eg-global-munk_layer} |
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M_{w} = \pi ( \frac { A_{h} }{ \beta } )^{\frac{1}{3}} |
&& M_{w} = \pi ( \frac { A_{h} }{ \beta } )^{\frac{1}{3}} |
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\end{eqnarray} |
\end{eqnarray} |
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\noindent of $\approx 600$km. This is greater than the model |
\noindent of $\approx 600$km. This is greater than the model |
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parameter to the horizontal Laplacian friction \cite{adcroft:95} |
parameter to the horizontal Laplacian friction \cite{adcroft:95} |
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\begin{eqnarray} |
\begin{eqnarray} |
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\label{EQ:eg-global-laplacian_stability} |
\label{EQ:eg-global-laplacian_stability} |
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S_{l} = 4 \frac{A_{h} \delta t_{v}}{{\Delta x}^2} |
&& S_{l} = 4 \frac{A_{h} \delta t_{v}}{{\Delta x}^2} |
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\end{eqnarray} |
\end{eqnarray} |
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\noindent evaluates to 0.16 at a latitude of $\phi=80^{\circ}$, which is below the |
\noindent evaluates to 0.16 at a latitude of $\phi=80^{\circ}$, which is below the |
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\begin{verbatim} tRef= 16.0 , 15.2 , 14.5 , 13.9 , 13.3 , \end{verbatim} |
\begin{verbatim} tRef= 16.0 , 15.2 , 14.5 , 13.9 , 13.3 , \end{verbatim} |
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$\cdots$ \\ |
$\cdots$ \\ |
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set reference values for potential |
set reference values for potential |
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temperature and salinity at each model level in units of $^{\circ}$C and |
temperature and salinity at each model level in units of $^{\circ}\mathrm{C}$ and |
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${\rm ppt}$. The entries are ordered from surface to depth. |
${\rm ppt}$. The entries are ordered from surface to depth. |
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Density is calculated from anomalies at each level evaluated |
Density is calculated from anomalies at each level evaluated |
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with respect to the reference values set here.\\ |
with respect to the reference values set here.\\ |