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also presented. |
also presented. |
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\section{Introduction} |
\section{Introduction} |
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MITgcm has a number of novel aspects: |
MITgcm has a number of novel aspects: |
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described in detail in the documentation. |
described in detail in the documentation. |
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\subsection{Global atmosphere: `Held-Suarez' benchmark} |
\subsection{Global atmosphere: `Held-Suarez' benchmark} |
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A novel feature of MITgcm is its ability to simulate, using one basic algorithm, |
A novel feature of MITgcm is its ability to simulate, using one basic algorithm, |
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both atmospheric and oceanographic flows at both small and large scales. |
both atmospheric and oceanographic flows at both small and large scales. |
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%% CNHend |
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\subsection{Ocean gyres} |
\subsection{Ocean gyres} |
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Baroclinic instability is a ubiquitous process in the ocean, as well as the |
Baroclinic instability is a ubiquitous process in the ocean, as well as the |
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atmosphere. Ocean eddies play an important role in modifying the |
atmosphere. Ocean eddies play an important role in modifying the |
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\subsection{Global ocean circulation} |
\subsection{Global ocean circulation} |
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Figure \ref{fig:large-scale-circ} (top) shows the pattern of ocean currents at |
Figure \ref{fig:large-scale-circ} (top) shows the pattern of ocean currents at |
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the surface of a 4$^{\circ }$ |
the surface of a 4$^{\circ }$ |
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%%CNHend |
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\subsection{Convection and mixing over topography} |
\subsection{Convection and mixing over topography} |
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Dense plumes generated by localized cooling on the continental shelf of the |
Dense plumes generated by localized cooling on the continental shelf of the |
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ocean may be influenced by rotation when the deformation radius is smaller |
ocean may be influenced by rotation when the deformation radius is smaller |
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%%CNHend |
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\subsection{Boundary forced internal waves} |
\subsection{Boundary forced internal waves} |
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\begin{rawhtml} |
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The unique ability of MITgcm to treat non-hydrostatic dynamics in the |
The unique ability of MITgcm to treat non-hydrostatic dynamics in the |
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presence of complex geometry makes it an ideal tool to study internal wave |
presence of complex geometry makes it an ideal tool to study internal wave |
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%%CNHend |
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\subsection{Parameter sensitivity using the adjoint of MITgcm} |
\subsection{Parameter sensitivity using the adjoint of MITgcm} |
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Forward and tangent linear counterparts of MITgcm are supported using an |
Forward and tangent linear counterparts of MITgcm are supported using an |
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`automatic adjoint compiler'. These can be used in parameter sensitivity and |
`automatic adjoint compiler'. These can be used in parameter sensitivity and |
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%%CNHend |
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\subsection{Global state estimation of the ocean} |
\subsection{Global state estimation of the ocean} |
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An important application of MITgcm is in state estimation of the global |
An important application of MITgcm is in state estimation of the global |
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ocean circulation. An appropriately defined `cost function', which measures |
ocean circulation. An appropriately defined `cost function', which measures |
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%% CNHend |
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\subsection{Ocean biogeochemical cycles} |
\subsection{Ocean biogeochemical cycles} |
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MITgcm is being used to study global biogeochemical cycles in the ocean. For |
MITgcm is being used to study global biogeochemical cycles in the ocean. For |
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example one can study the effects of interannual changes in meteorological |
example one can study the effects of interannual changes in meteorological |
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%%CNHend |
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\subsection{Simulations of laboratory experiments} |
\subsection{Simulations of laboratory experiments} |
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Figure \ref{fig:lab-simulation} shows MITgcm being used to simulate a |
Figure \ref{fig:lab-simulation} shows MITgcm being used to simulate a |
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laboratory experiment inquiring into the dynamics of the Antarctic Circumpolar Current (ACC). An |
laboratory experiment inquiring into the dynamics of the Antarctic Circumpolar Current (ACC). An |
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% $Name$ |
% $Name$ |
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\section{Continuous equations in `r' coordinates} |
\section{Continuous equations in `r' coordinates} |
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To render atmosphere and ocean models from one dynamical core we exploit |
To render atmosphere and ocean models from one dynamical core we exploit |
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`isomorphisms' between equation sets that govern the evolution of the |
`isomorphisms' between equation sets that govern the evolution of the |
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\subsection{Hydrostatic, Quasi-hydrostatic, Quasi-nonhydrostatic and |
\subsection{Hydrostatic, Quasi-hydrostatic, Quasi-nonhydrostatic and |
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Non-hydrostatic forms} |
Non-hydrostatic forms} |
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Let us separate $\phi $ in to surface, hydrostatic and non-hydrostatic terms: |
Let us separate $\phi $ in to surface, hydrostatic and non-hydrostatic terms: |
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