125 |
\subsubsection{Numerical Stability Criteria} |
\subsubsection{Numerical Stability Criteria} |
126 |
|
|
127 |
The Laplacian dissipation coefficient, $A_{h}$, is set to $400 m s^{-1}$. |
The Laplacian dissipation coefficient, $A_{h}$, is set to $400 m s^{-1}$. |
128 |
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}, |
129 |
|
|
130 |
\begin{eqnarray} |
\begin{eqnarray} |
131 |
\label{EQ:munk_layer} |
\label{EQ:munk_layer} |
139 |
|
|
140 |
\noindent The model is stepped forward with a |
\noindent The model is stepped forward with a |
141 |
time step $\delta t=1200$secs. With this time step the stability |
time step $\delta t=1200$secs. With this time step the stability |
142 |
parameter to the horizontal Laplacian friction \cite{Adcroft_thesis} |
parameter to the horizontal Laplacian friction \cite{adcroft:95} |
143 |
|
|
144 |
|
|
145 |
|
|
153 |
\\ |
\\ |
154 |
|
|
155 |
\noindent The numerical stability for inertial oscillations |
\noindent The numerical stability for inertial oscillations |
156 |
\cite{Adcroft_thesis} |
\cite{adcroft:95} |
157 |
|
|
158 |
\begin{eqnarray} |
\begin{eqnarray} |
159 |
\label{EQ:inertial_stability} |
\label{EQ:inertial_stability} |
164 |
limit for stability. |
limit for stability. |
165 |
\\ |
\\ |
166 |
|
|
167 |
\noindent The advective CFL \cite{Adcroft_thesis} for an extreme maximum |
\noindent The advective CFL \cite{adcroft:95} for an extreme maximum |
168 |
horizontal flow speed of $ | \vec{u} | = 2 ms^{-1}$ |
horizontal flow speed of $ | \vec{u} | = 2 ms^{-1}$ |
169 |
|
|
170 |
\begin{eqnarray} |
\begin{eqnarray} |