/[MITgcm]/manual/s_examples/barotropic_gyre/baro.tex
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revision 1.8 by cnh, Thu Feb 28 19:32:19 2002 UTC revision 1.13 by molod, Tue Apr 4 20:23:08 2006 UTC
# Line 13  Line 13 
13  %{\large May 2001}  %{\large May 2001}
14  %\end{center}  %\end{center}
15    
16  This is the first in a series of tutorials describing  \section[Barotropic Gyre MITgcm Example]{Barotropic Ocean Gyre In Cartesian Coordinates}
 example MITgcm numerical experiments. The example experiments  
 include both straightforward examples of idealized geophysical  
 fluid simulations and more involved cases encompassing  
 large scale modeling and  
 automatic differentiation. Both hydrostatic and non-hydrostatic  
 experiments are presented, as well as experiments employing  
 Cartesian, spherical-polar and cube-sphere coordinate systems.  
 These ``case study'' documents include information describing  
 the experimental configuration and detailed information on how to  
 configure the MITgcm code and input files for each experiment.  
   
 \section{Barotropic Ocean Gyre In Cartesian Coordinates}  
17  \label{sect:eg-baro}  \label{sect:eg-baro}
18    \label{www:tutorials}
19    \begin{rawhtml}
20    <!-- CMIREDIR:eg-baro: -->
21    \end{rawhtml}
22    
23    
24  This example experiment demonstrates using the MITgcm to simulate  This example experiment demonstrates using the MITgcm to simulate
# Line 67  $\tau_0$ is set to $0.1N m^{-2}$. Line 59  $\tau_0$ is set to $0.1N m^{-2}$.
59  Figure \ref{FIG:eg-baro-simulation_config}  Figure \ref{FIG:eg-baro-simulation_config}
60  summarizes the configuration simulated.  summarizes the configuration simulated.
61    
62    %% === eh3 ===
63  \begin{figure}  \begin{figure}
64  \begin{center}  %% \begin{center}
65   \resizebox{7.5in}{5.5in}{  %%  \resizebox{7.5in}{5.5in}{
66     \includegraphics*[0.2in,0.7in][10.5in,10.5in]  %%    \includegraphics*[0.2in,0.7in][10.5in,10.5in]
67      {part3/case_studies/barotropic_gyre/simulation_config.eps} }  %%     {part3/case_studies/barotropic_gyre/simulation_config.eps} }
68  \end{center}  %% \end{center}
69    \centerline{
70      \scalefig{.95}
71      \epsfbox{part3/case_studies/barotropic_gyre/simulation_config.eps}
72    }
73  \caption{Schematic of simulation domain and wind-stress forcing function  \caption{Schematic of simulation domain and wind-stress forcing function
74  for barotropic gyre numerical experiment. The domain is enclosed bu solid  for barotropic gyre numerical experiment. The domain is enclosed bu solid
75  walls at $x=$~0,1200km and at $y=$~0,1200km.}  walls at $x=$~0,1200km and at $y=$~0,1200km.}
# Line 80  walls at $x=$~0,1200km and at $y=$~0,120 Line 77  walls at $x=$~0,1200km and at $y=$~0,120
77  \end{figure}  \end{figure}
78    
79  \subsection{Equations Solved}  \subsection{Equations Solved}
80    \label{www:tutorials}
81  The model is configured in hydrostatic form. The implicit free surface form of the  The model is configured in hydrostatic form. The implicit free surface form of the
82  pressure equation described in Marshall et. al \cite{marshall:97a} is  pressure equation described in Marshall et. al \cite{marshall:97a} is
83  employed.  employed.
# Line 114  flow vector $\vec{u}$. Line 112  flow vector $\vec{u}$.
112    
113    
114  \subsection{Discrete Numerical Configuration}  \subsection{Discrete Numerical Configuration}
115    \label{www:tutorials}
116    
117   The domain is discretised with   The domain is discretised with
118  a uniform grid spacing in the horizontal set to  a uniform grid spacing in the horizontal set to
# Line 122  that there are sixty grid cells in the $ Line 121  that there are sixty grid cells in the $
121  model is configured with a single layer with depth, $\Delta z$, of $5000$~m.  model is configured with a single layer with depth, $\Delta z$, of $5000$~m.
122    
123  \subsubsection{Numerical Stability Criteria}  \subsubsection{Numerical Stability Criteria}
124    \label{www:tutorials}
125    
126  The Laplacian dissipation coefficient, $A_{h}$, is set to $400 m s^{-1}$.  The Laplacian dissipation coefficient, $A_{h}$, is set to $400 m s^{-1}$.
127  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},
# Line 175  S_{a} = \frac{| \vec{u} | \delta t}{ \De Line 175  S_{a} = \frac{| \vec{u} | \delta t}{ \De
175  of 0.5 and limits $\delta t$ to $1200s$.  of 0.5 and limits $\delta t$ to $1200s$.
176    
177  \subsection{Code Configuration}  \subsection{Code Configuration}
178    \label{www:tutorials}
179  \label{SEC:eg-baro-code_config}  \label{SEC:eg-baro-code_config}
180    
181  The model configuration for this experiment resides under the  The model configuration for this experiment resides under the
# Line 194  experiments. Below we describe the custo Line 195  experiments. Below we describe the custo
195  to these files associated with this experiment.  to these files associated with this experiment.
196    
197  \subsubsection{File {\it input/data}}  \subsubsection{File {\it input/data}}
198    \label{www:tutorials}
199    
200  This file, reproduced completely below, specifies the main parameters  This file, reproduced completely below, specifies the main parameters
201  for the experiment. The parameters that are significant for this configuration  for the experiment. The parameters that are significant for this configuration
# Line 305  notes. Line 307  notes.
307  \end{small}  \end{small}
308    
309  \subsubsection{File {\it input/data.pkg}}  \subsubsection{File {\it input/data.pkg}}
310    \label{www:tutorials}
311    
312  This file uses standard default values and does not contain  This file uses standard default values and does not contain
313  customizations for this experiment.  customizations for this experiment.
314    
315  \subsubsection{File {\it input/eedata}}  \subsubsection{File {\it input/eedata}}
316    \label{www:tutorials}
317    
318  This file uses standard default values and does not contain  This file uses standard default values and does not contain
319  customizations for this experiment.  customizations for this experiment.
320    
321  \subsubsection{File {\it input/windx.sin\_y}}  \subsubsection{File {\it input/windx.sin\_y}}
322    \label{www:tutorials}
323    
324  The {\it input/windx.sin\_y} file specifies a two-dimensional ($x,y$)  The {\it input/windx.sin\_y} file specifies a two-dimensional ($x,y$)
325  map of wind stress ,$\tau_{x}$, values. The units used are $Nm^{-2}$.  map of wind stress ,$\tau_{x}$, values. The units used are $Nm^{-2}$.
# Line 325  in MITgcm. The included matlab program { Line 330  in MITgcm. The included matlab program {
330  code for creating the {\it input/windx.sin\_y} file.  code for creating the {\it input/windx.sin\_y} file.
331    
332  \subsubsection{File {\it input/topog.box}}  \subsubsection{File {\it input/topog.box}}
333    \label{www:tutorials}
334    
335    
336  The {\it input/topog.box} file specifies a two-dimensional ($x,y$)  The {\it input/topog.box} file specifies a two-dimensional ($x,y$)
# Line 336  The included matlab program {\it input/g Line 342  The included matlab program {\it input/g
342  code for creating the {\it input/topog.box} file.  code for creating the {\it input/topog.box} file.
343    
344  \subsubsection{File {\it code/SIZE.h}}  \subsubsection{File {\it code/SIZE.h}}
345    \label{www:tutorials}
346    
347  Two lines are customized in this file for the current experiment  Two lines are customized in this file for the current experiment
348    
# Line 358  axis aligned with the y-coordinate. Line 365  axis aligned with the y-coordinate.
365  \end{small}  \end{small}
366    
367  \subsubsection{File {\it code/CPP\_OPTIONS.h}}  \subsubsection{File {\it code/CPP\_OPTIONS.h}}
368    \label{www:tutorials}
369    
370  This file uses standard default values and does not contain  This file uses standard default values and does not contain
371  customizations for this experiment.  customizations for this experiment.
372    
373    
374  \subsubsection{File {\it code/CPP\_EEOPTIONS.h}}  \subsubsection{File {\it code/CPP\_EEOPTIONS.h}}
375    \label{www:tutorials}
376    
377  This file uses standard default values and does not contain  This file uses standard default values and does not contain
378  customizations for this experiment.  customizations for this experiment.
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