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revision 1.15 by cnh, Wed Nov 21 16:33:17 2001 UTC revision 1.17 by edhill, Thu Aug 7 18:27:51 2003 UTC
# Line 37  Line 37 
37  % $Header$  % $Header$
38  % $Name$  % $Name$
39    
40  \section{Introduction}  This document provides the reader with the information necessary to
   
 This documentation provides the reader with the information necessary to  
41  carry out numerical experiments using MITgcm. It gives a comprehensive  carry out numerical experiments using MITgcm. It gives a comprehensive
42  description of the continuous equations on which the model is based, the  description of the continuous equations on which the model is based, the
43  numerical algorithms the model employs and a description of the associated  numerical algorithms the model employs and a description of the associated
# Line 49  are available. A number of examples illu Line 47  are available. A number of examples illu
47  both process and general circulation studies of the atmosphere and ocean are  both process and general circulation studies of the atmosphere and ocean are
48  also presented.  also presented.
49    
50    \section{Introduction}
51    
52  MITgcm has a number of novel aspects:  MITgcm has a number of novel aspects:
53    
54  \begin{itemize}  \begin{itemize}
# Line 83  studies. Line 83  studies.
83  computational platforms.  computational platforms.
84  \end{itemize}  \end{itemize}
85    
86  Key publications reporting on and charting the development of the model are:  Key publications reporting on and charting the development of the model are
87    \cite{hill:95,marshall:97a,marshall:97b,adcroft:97,marshall:98,adcroft:99,hill:99,maro-eta:99}:
88    
89  \begin{verbatim}  \begin{verbatim}
   
90  Hill, C. and J. Marshall, (1995)  Hill, C. and J. Marshall, (1995)
91  Application of a Parallel Navier-Stokes Model to Ocean Circulation in  Application of a Parallel Navier-Stokes Model to Ocean Circulation in
92  Parallel Computational Fluid Dynamics  Parallel Computational Fluid Dynamics
# Line 95  and Results Using Parallel Computers, 54 Line 95  and Results Using Parallel Computers, 54
95  Elsevier Science B.V.: New York  Elsevier Science B.V.: New York
96    
97  Marshall, J., C. Hill, L. Perelman, and A. Adcroft, (1997)  Marshall, J., C. Hill, L. Perelman, and A. Adcroft, (1997)
98  Hydrostatic, quasi-hydrostatic, and nonhydrostatic ocean modeling,  Hydrostatic, quasi-hydrostatic, and nonhydrostatic ocean modeling
99  J. Geophysical Res., 102(C3), 5733-5752.  J. Geophysical Res., 102(C3), 5733-5752.
100    
101  Marshall, J., A. Adcroft, C. Hill, L. Perelman, and C. Heisey, (1997)  Marshall, J., A. Adcroft, C. Hill, L. Perelman, and C. Heisey, (1997)
# Line 128  Construction of the adjoint MIT ocean ge Line 128  Construction of the adjoint MIT ocean ge
128  application to Atlantic heat transport variability  application to Atlantic heat transport variability
129  J. Geophysical Res., 104(C12), 29,529-29,547.  J. Geophysical Res., 104(C12), 29,529-29,547.
130    
   
131  \end{verbatim}  \end{verbatim}
132    
133  We begin by briefly showing some of the results of the model in action to  We begin by briefly showing some of the results of the model in action to
# Line 323  telescoping to $\frac{1}{3}^{\circ}\time Line 322  telescoping to $\frac{1}{3}^{\circ}\time
322  \subsection{Simulations of laboratory experiments}  \subsection{Simulations of laboratory experiments}
323    
324  Figure \ref{fig:lab-simulation} shows MITgcm being used to simulate a  Figure \ref{fig:lab-simulation} shows MITgcm being used to simulate a
325  laboratory experiment inquiring in to the dynamics of the Antarctic Circumpolar Current (ACC). An  laboratory experiment inquiring into the dynamics of the Antarctic Circumpolar Current (ACC). An
326  initially homogeneous tank of water ($1m$ in diameter) is driven from its  initially homogeneous tank of water ($1m$ in diameter) is driven from its
327  free surface by a rotating heated disk. The combined action of mechanical  free surface by a rotating heated disk. The combined action of mechanical
328  and thermal forcing creates a lens of fluid which becomes baroclinically  and thermal forcing creates a lens of fluid which becomes baroclinically
# Line 347  One system of hydrodynamical equations i Line 346  One system of hydrodynamical equations i
346  and encoded. The model variables have different interpretations depending on  and encoded. The model variables have different interpretations depending on
347  whether the atmosphere or ocean is being studied. Thus, for example, the  whether the atmosphere or ocean is being studied. Thus, for example, the
348  vertical coordinate `$r$' is interpreted as pressure, $p$, if we are  vertical coordinate `$r$' is interpreted as pressure, $p$, if we are
349  modeling the atmosphere (left hand side of figure \ref{fig:isomorphic-equations})  modeling the atmosphere (right hand side of figure \ref{fig:isomorphic-equations})
350  and height, $z$, if we are modeling the ocean (right hand side of figure  and height, $z$, if we are modeling the ocean (left hand side of figure
351  \ref{fig:isomorphic-equations}).  \ref{fig:isomorphic-equations}).
352    
353  %%CNHbegin  %%CNHbegin
# Line 472  in later chapters. Line 471  in later chapters.
471  at fixed and moving $r$ surfaces we set (see figure \ref{fig:zandp-vert-coord}):  at fixed and moving $r$ surfaces we set (see figure \ref{fig:zandp-vert-coord}):
472    
473  \begin{equation}  \begin{equation}
474  \dot{r}=0atr=R_{fixed}(x,y)\text{ (ocean bottom, top of the atmosphere)}  \dot{r}=0 \text{\ at\ } r=R_{fixed}(x,y)\text{ (ocean bottom, top of the atmosphere)}
475  \label{eq:fixedbc}  \label{eq:fixedbc}
476  \end{equation}  \end{equation}
477    
478  \begin{equation}  \begin{equation}
479  \dot{r}=\frac{Dr}{Dt}atr=R_{moving}\text{ \  \dot{r}=\frac{Dr}{Dt} \text{\ at\ } r=R_{moving}\text{ \
480  (ocean surface,bottom of the atmosphere)}  \label{eq:movingbc}  (ocean surface,bottom of the atmosphere)}  \label{eq:movingbc}
481  \end{equation}  \end{equation}
482    
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