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\subsubsection{Numerical Stability Criteria} |
\subsubsection{Numerical Stability Criteria} |
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The Laplacian dissipation coefficient, $A_{h}$, is set to $400 m s^{-1}$. |
The Laplacian dissipation coefficient, $A_{h}$, is set to $400 m s^{-1}$. |
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This value is chosen to yield a Munk layer width \cite{Adcroft_thesis}, |
This value is chosen to yield a Munk layer width \cite{adcroft:95}, |
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|
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\begin{eqnarray} |
\begin{eqnarray} |
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\label{EQ:munk_layer} |
\label{EQ:munk_layer} |
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|
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\noindent The model is stepped forward with a |
\noindent The model is stepped forward with a |
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time step $\delta t=1200$secs. With this time step the stability |
time step $\delta t=1200$secs. With this time step the stability |
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parameter to the horizontal Laplacian friction \cite{Adcroft_thesis} |
parameter to the horizontal Laplacian friction \cite{adcroft:95} |
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|
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\begin{eqnarray} |
\begin{eqnarray} |
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\label{EQ:laplacian_stability} |
\label{EQ:laplacian_stability} |
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\\ |
\\ |
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\noindent The numerical stability for inertial oscillations |
\noindent The numerical stability for inertial oscillations |
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\cite{Adcroft_thesis} |
\cite{adcroft:95} |
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|
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\begin{eqnarray} |
\begin{eqnarray} |
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\label{EQ:inertial_stability} |
\label{EQ:inertial_stability} |
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limit for stability. |
limit for stability. |
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\\ |
\\ |
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\noindent The advective CFL \cite{Adcroft_thesis} for a extreme maximum |
\noindent The advective CFL \cite{adcroft:95} for a extreme maximum |
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horizontal flow |
horizontal flow |
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speed of $ | \vec{u} | = 2 ms^{-1}$ |
speed of $ | \vec{u} | = 2 ms^{-1}$ |
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241 |
\\ |
\\ |
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\noindent The stability parameter for internal gravity waves |
\noindent The stability parameter for internal gravity waves |
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\cite{Adcroft_thesis} |
\cite{adcroft:95} |
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|
246 |
\begin{eqnarray} |
\begin{eqnarray} |
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\label{EQ:cfl_stability} |
\label{EQ:cfl_stability} |