/[MITgcm]/manual/s_examples/barotropic_gyre/baro.tex
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revision 1.4 by cnh, Thu Oct 25 18:36:54 2001 UTC revision 1.5 by adcroft, Tue Nov 13 18:19:18 2001 UTC
# Line 125  model is configured with a single layer Line 125  model is configured with a single layer
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}
# Line 139  layer is well resolved. Line 139  layer is well resolved.
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    
# Line 153  for stability. Line 153  for stability.
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}
# Line 164  S_{i} = f^{2} {\delta t}^2 Line 164  S_{i} = f^{2} {\delta t}^2
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}

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