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\tableofcontents |
\tableofcontents |
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\part{MIT GCM basics} |
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% Section: Overview |
% Section: Overview |
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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 |
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give a feel for the wide range of problems that can be addressed using it. |
give a feel for the wide range of problems that can be addressed using it. |
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\section{Illustrations of the model in action} |
\section{Illustrations of the model in action} |
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The MITgcm has been designed and used to model a wide range of phenomena, |
MITgcm has been designed and used to model a wide range of phenomena, |
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from convection on the scale of meters in the ocean to the global pattern of |
from convection on the scale of meters in the ocean to the global pattern of |
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atmospheric winds - see fig.2\ref{fig:all-scales}. To give a flavor of the |
atmospheric winds - see fig.2\ref{fig:all-scales}. To give a flavor of the |
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kinds of problems the model has been used to study, we briefly describe some |
kinds of problems the model has been used to study, we briefly describe some |
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which the vertical momentum equation is reduced to a statement of |
which the vertical momentum equation is reduced to a statement of |
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hydrostatic balance and the `traditional approximation' is made in which the |
hydrostatic balance and the `traditional approximation' is made in which the |
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Coriolis force is treated approximately and the shallow atmosphere |
Coriolis force is treated approximately and the shallow atmosphere |
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approximation is made.\ The MITgcm need not make the `traditional |
approximation is made. MITgcm need not make the `traditional |
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approximation'. To be able to support consistent non-hydrostatic forms the |
approximation'. To be able to support consistent non-hydrostatic forms the |
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shallow atmosphere approximation can be relaxed - when dividing through by $ |
shallow atmosphere approximation can be relaxed - when dividing through by $ |
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r $ in, for example, (\ref{eq:gu-speherical}), we do not replace $r$ by $a$, |
r $ in, for example, (\ref{eq:gu-speherical}), we do not replace $r$ by $a$, |