--- manual/s_phys_pkgs/text/gmredi.tex 2004/10/12 18:16:03 1.8 +++ manual/s_phys_pkgs/text/gmredi.tex 2005/07/18 20:45:27 1.10 @@ -1,4 +1,4 @@ -\section{Gent/McWiliams/Redi SGS Eddy parameterization} +\subsection{GMREDI: Gent/McWiliams/Redi SGS Eddy Parameterization} \label{sec:pkg:gmredi} \begin{rawhtml} @@ -35,7 +35,7 @@ that the horizontal fluxes are unmodified from the lateral diffusion parameterization. -\subsection{Redi scheme: Isopycnal diffusion} +\subsubsection{Redi scheme: Isopycnal diffusion} The Redi scheme diffuses tracers along isopycnals and introduces a term in the tendency (rhs) of such a tracer (here $\tau$) of the form: @@ -75,7 +75,7 @@ \end{equation} -\subsection{GM parameterization} +\subsubsection{GM parameterization} The GM parameterization aims to parameterise the ``advective'' or ``transport'' effect of geostrophic eddies by means of a ``bolus'' @@ -104,7 +104,7 @@ This is the form of the GM parameterization as applied by Donabasaglu, 1997, in MOM versions 1 and 2. -\subsection{Griffies Skew Flux} +\subsubsection{Griffies Skew Flux} Griffies notes that the discretisation of bolus velocities involves multiple layers of differencing and interpolation that potentially @@ -191,7 +191,7 @@ -\subsection{Variable $\kappa_{GM}$} +\subsubsection{Variable $\kappa_{GM}$} Visbeck et al., 1996, suggest making the eddy coefficient, $\kappa_{GM}$, a function of the Eady growth rate, @@ -217,7 +217,7 @@ \end{displaymath} -\subsection{Tapering and stability} +\subsubsection{Tapering and stability} Experience with the GFDL model showed that the GM scheme has to be matched to the convective parameterization. This was originally @@ -258,7 +258,7 @@ \end{figure} -\subsubsection{Slope clipping} +Slope clipping: Deep convection sites and the mixed layer are indicated by homogenized, unstable or nearly unstable stratification. The slopes in @@ -305,7 +305,7 @@ of the GM/Redi parameterization, re-introducing diabatic fluxes in regions where the limiting is in effect. -\subsubsection{Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991} +Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991: The tapering scheme used in Gerdes et al., 1999, (\cite{gkw:99}) addressed two issues with the clipping method: the introduction of @@ -329,7 +329,7 @@ The GKW tapering scheme is activated in the model by setting {\bf GM\_tap\-er\_scheme = 'gkw91'} in {\em data.gmredi}. -\subsection{Tapering: Danabasoglu and McWilliams, J. Clim. 1995} +\subsubsection{Tapering: Danabasoglu and McWilliams, J. Clim. 1995} The tapering scheme used by Danabasoglu and McWilliams, 1995, \cite{dm:95}, followed a similar procedure but used a different @@ -346,7 +346,7 @@ The DM tapering scheme is activated in the model by setting {\bf GM\_tap\-er\_scheme = 'dm95'} in {\em data.gmredi}. -\subsection{Tapering: Large, Danabasoglu and Doney, JPO 1997} +\subsubsection{Tapering: Large, Danabasoglu and Doney, JPO 1997} The tapering used in Large et al., 1997, \cite{ldd:97}, is based on the DM95 tapering scheme, but also tapers the scheme with an additional @@ -376,7 +376,7 @@ \label{fig-mixedlayer} \end{figure} -\subsection{Package Reference} +\subsubsection{Package Reference} % DO NOT EDIT HERE