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\section{Example: 4$^\circ$ Global Climatological Ocean Simulation} |
\section{Example: 4$^\circ$ Global Climatological Ocean Simulation} |
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\label{sec:eg-global} |
\label{sect:eg-global} |
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\bodytext{bgcolor="#FFFFFFFF"} |
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\Delta z_{20}=815\,{\rm m} |
\Delta z_{20}=815\,{\rm m} |
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$ (here the numeric subscript indicates the model level index number, ${\tt k}$). |
$ (here the numeric subscript indicates the model level index number, ${\tt k}$). |
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The implicit free surface form of the pressure equation described in Marshall et. al |
The implicit free surface form of the pressure equation described in Marshall et. al |
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\cite{Marshall97a} is employed. A Laplacian operator, $\nabla^2$, provides viscous |
\cite{marshall:97a} is employed. A Laplacian operator, $\nabla^2$, provides viscous |
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dissipation. Thermal and haline diffusion is also represented by a Laplacian operator. |
dissipation. Thermal and haline diffusion is also represented by a Laplacian operator. |
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Wind-stress forcing is added to the momentum equations for both |
Wind-stress forcing is added to the momentum equations for both |
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$v=\frac{Dy}{Dt}=r \frac{D \phi}{Dt}$ |
$v=\frac{Dy}{Dt}=r \frac{D \phi}{Dt}$ |
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are the zonal and meridional components of the |
are the zonal and meridional components of the |
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flow vector, $\vec{u}$, on the sphere. As described in |
flow vector, $\vec{u}$, on the sphere. As described in |
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MITgcm Numerical Solution Procedure \cite{MITgcm_Numerical_Scheme}, the time |
MITgcm Numerical Solution Procedure \ref{chap:discretization}, the time |
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evolution of potential temperature, $\theta$, equation is solved prognostically. |
evolution of potential temperature, $\theta$, equation is solved prognostically. |
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The total pressure, $p$, is diagnosed by summing pressure due to surface |
The total pressure, $p$, is diagnosed by summing pressure due to surface |
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elevation $\eta$ and the hydrostatic pressure. |
elevation $\eta$ and the hydrostatic pressure. |