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\section{GMREDI: Gent/McWiliams/Redi SGS Eddy Parameterization} |
\subsection{GMREDI: Gent/McWiliams/Redi SGS Eddy Parameterization} |
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\label{sec:pkg:gmredi} |
\label{sec:pkg:gmredi} |
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\begin{rawhtml} |
\begin{rawhtml} |
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that the horizontal fluxes are unmodified from the lateral diffusion |
that the horizontal fluxes are unmodified from the lateral diffusion |
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parameterization. |
parameterization. |
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\subsection{Redi scheme: Isopycnal diffusion} |
\subsubsection{Redi scheme: Isopycnal diffusion} |
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The Redi scheme diffuses tracers along isopycnals and introduces a |
The Redi scheme diffuses tracers along isopycnals and introduces a |
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term in the tendency (rhs) of such a tracer (here $\tau$) of the form: |
term in the tendency (rhs) of such a tracer (here $\tau$) of the form: |
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\end{equation} |
\end{equation} |
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\subsection{GM parameterization} |
\subsubsection{GM parameterization} |
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The GM parameterization aims to parameterise the ``advective'' or |
The GM parameterization aims to parameterise the ``advective'' or |
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``transport'' effect of geostrophic eddies by means of a ``bolus'' |
``transport'' effect of geostrophic eddies by means of a ``bolus'' |
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This is the form of the GM parameterization as applied by Donabasaglu, |
This is the form of the GM parameterization as applied by Donabasaglu, |
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1997, in MOM versions 1 and 2. |
1997, in MOM versions 1 and 2. |
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\subsection{Griffies Skew Flux} |
\subsubsection{Griffies Skew Flux} |
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Griffies notes that the discretisation of bolus velocities involves |
Griffies notes that the discretisation of bolus velocities involves |
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multiple layers of differencing and interpolation that potentially |
multiple layers of differencing and interpolation that potentially |
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\subsection{Variable $\kappa_{GM}$} |
\subsubsection{Variable $\kappa_{GM}$} |
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Visbeck et al., 1996, suggest making the eddy coefficient, |
Visbeck et al., 1996, suggest making the eddy coefficient, |
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$\kappa_{GM}$, a function of the Eady growth rate, |
$\kappa_{GM}$, a function of the Eady growth rate, |
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\end{displaymath} |
\end{displaymath} |
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\subsection{Tapering and stability} |
\subsubsection{Tapering and stability} |
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Experience with the GFDL model showed that the GM scheme has to be |
Experience with the GFDL model showed that the GM scheme has to be |
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matched to the convective parameterization. This was originally |
matched to the convective parameterization. This was originally |
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\end{figure} |
\end{figure} |
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\subsubsection{Slope clipping} |
Slope clipping: |
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Deep convection sites and the mixed layer are indicated by |
Deep convection sites and the mixed layer are indicated by |
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homogenized, unstable or nearly unstable stratification. The slopes in |
homogenized, unstable or nearly unstable stratification. The slopes in |
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of the GM/Redi parameterization, re-introducing diabatic fluxes in |
of the GM/Redi parameterization, re-introducing diabatic fluxes in |
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regions where the limiting is in effect. |
regions where the limiting is in effect. |
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\subsubsection{Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991} |
Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991: |
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The tapering scheme used in Gerdes et al., 1999, (\cite{gkw:99}) |
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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The GKW tapering scheme is activated in the model by setting {\bf |
The GKW tapering scheme is activated in the model by setting {\bf |
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GM\_tap\-er\_scheme = 'gkw91'} in {\em data.gmredi}. |
GM\_tap\-er\_scheme = 'gkw91'} in {\em data.gmredi}. |
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\subsection{Tapering: Danabasoglu and McWilliams, J. Clim. 1995} |
\subsubsection{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{dm:95}, followed a similar procedure but used a different |
\cite{dm:95}, followed a similar procedure but used a different |
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The DM tapering scheme is activated in the model by setting {\bf |
The DM tapering scheme is activated in the model by setting {\bf |
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GM\_tap\-er\_scheme = 'dm95'} in {\em data.gmredi}. |
GM\_tap\-er\_scheme = 'dm95'} in {\em data.gmredi}. |
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\subsection{Tapering: Large, Danabasoglu and Doney, JPO 1997} |
\subsubsection{Tapering: Large, Danabasoglu and Doney, JPO 1997} |
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The tapering used in Large et al., 1997, \cite{ldd:97}, 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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\label{fig-mixedlayer} |
\label{fig-mixedlayer} |
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\end{figure} |
\end{figure} |
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\subsection{Package Reference} |
\subsubsection{Package Reference} |
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