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\section{Gent/McWiliams/Redi SGS Eddy parameterization} |
\section{Gent/McWiliams/Redi SGS Eddy parameterization} |
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\label{sec:pkg:gmredi} |
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\begin{rawhtml} |
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<!-- CMIREDIR:gmredi: --> |
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\end{rawhtml} |
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There are two parts to the Redi/GM parameterization of geostrophic |
There are two parts to the Redi/GM parameterization of geostrophic |
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eddies. The first aims to mix tracer properties along isentropes |
eddies. The first aims to mix tracer properties along isentropes |
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\begin{center} |
\begin{center} |
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\resizebox{5.0in}{3.0in}{\includegraphics{part6/tapers.eps}} |
\resizebox{5.0in}{3.0in}{\includegraphics{part6/tapers.eps}} |
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\end{center} |
\end{center} |
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\caption{Taper functions used in GKW91 and DM95.} |
\caption{Taper functions used in GKW99 and DM95.} |
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\label{fig:tapers} |
\label{fig:tapers} |
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\end{figure} |
\end{figure} |
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\subsubsection{Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991} |
\subsubsection{Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991} |
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The tapering scheme used in Gerdes et al., 1991, (\cite{gkw91}) |
The tapering scheme used in Gerdes et al., 1999, (\cite{gkw:99}) |
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addressed two issues with the clipping method: the introduction of |
addressed two issues with the clipping method: the introduction of |
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large vertical fluxes in addition to convective adjustment fluxes is |
large vertical fluxes in addition to convective adjustment fluxes is |
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avoided by tapering the GM/Redi slopes back to zero in |
avoided by tapering the GM/Redi slopes back to zero in |
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\subsection{Tapering: Danabasoglu and McWilliams, J. Clim. 1995} |
\subsection{Tapering: Danabasoglu and McWilliams, J. Clim. 1995} |
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The tapering scheme used by Danabasoglu and McWilliams, 1995, |
The tapering scheme used by Danabasoglu and McWilliams, 1995, |
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\cite{DM95}, followed a similar procedure but used a different |
\cite{dm:95}, followed a similar procedure but used a different |
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tapering function, $f_1(S)$: |
tapering function, $f_1(S)$: |
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\begin{equation} |
\begin{equation} |
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f_1(S) = \frac{1}{2} \left( 1+\tanh \left[ \frac{S_c - |S|}{S_d} \right] \right) |
f_1(S) = \frac{1}{2} \left( 1+\tanh \left[ \frac{S_c - |S|}{S_d} \right] \right) |
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\subsection{Tapering: Large, Danabasoglu and Doney, JPO 1997} |
\subsection{Tapering: Large, Danabasoglu and Doney, JPO 1997} |
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The tapering used in Large et al., 1997, \cite{ldd97}, is based on the |
The tapering used in Large et al., 1997, \cite{ldd:97}, is based on the |
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DM95 tapering scheme, but also tapers the scheme with an additional |
DM95 tapering scheme, but also tapers the scheme with an additional |
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function of height, $f_2(z)$, so that the GM/Redi SGS fluxes are |
function of height, $f_2(z)$, so that the GM/Redi SGS fluxes are |
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reduced near the surface: |
reduced near the surface: |
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\begin{figure} |
\begin{figure} |
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\begin{center} |
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%\includegraphics{mixedlayer-cox.eps} |
%\includegraphics{mixedlayer-cox.eps} |
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%\includegraphics{mixedlayer-diff.eps} |
%\includegraphics{mixedlayer-diff.eps} |
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Figure missing. |
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\end{center} |
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\caption{Mixed layer depth using GM parameterization with a) Cox slope |
\caption{Mixed layer depth using GM parameterization with a) Cox slope |
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clipping and for comparison b) using horizontal constant diffusion.} |
clipping and for comparison b) using horizontal constant diffusion.} |
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\ref{fig-mixedlayer} |
\label{fig-mixedlayer} |
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\end{figure} |
\end{figure} |
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\subsection{Package Reference} |
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