--- manual/s_phys_pkgs/text/gmredi.tex 2001/09/28 14:09:56 1.2 +++ manual/s_phys_pkgs/text/gmredi.tex 2001/11/13 14:54:50 1.4 @@ -167,7 +167,7 @@ \end{array} \right) \end{equation} -which differs from the variable laplacian diffusion tensor by only +which differs from the variable Laplacian diffusion tensor by only two non-zero elements in the $z$-row. \fbox{ \begin{minipage}{4.75in} @@ -218,7 +218,7 @@ Experience with the GFDL model showed that the GM scheme has to be matched to the convective parameterization. This was originally expressed in connection with the introduction of the KPP boundary -layer scheme (Large et al., 97) but infact, as subsequent experience +layer scheme (Large et al., 97) but in fact, as subsequent experience with the MIT model has found, is necessary for any convective parameterization. @@ -261,7 +261,7 @@ such regions can be either infinite, very large with a sign reversal or simply very large. From a numerical point of view, large slopes lead to large variations in the tensor elements (implying large bolus -flow) and can be numerically unstable. This was first reognized by +flow) and can be numerically unstable. This was first recognized by Cox, 1987, who implemented ``slope clipping'' in the isopycnal mixing tensor. Here, the slope magnitude is simply restricted by an upper limit: @@ -296,7 +296,7 @@ diffusion). The classic result of dramatically reduced mixed layers is evident. Indeed, the deep convection sites to just one or two points each and are much shallower than we might prefer. This, it turns out, -is due to the over zealous restratification due to the bolus transport +is due to the over zealous re-stratification due to the bolus transport parameterization. Limiting the slopes also breaks the adiabatic nature of the GM/Redi parameterization, re-introducing diabatic fluxes in regions where the limiting is in effect. @@ -362,11 +362,14 @@ \begin{figure} +\begin{center} %\includegraphics{mixedlayer-cox.eps} %\includegraphics{mixedlayer-diff.eps} +Figure missing. +\end{center} \caption{Mixed layer depth using GM parameterization with a) Cox slope clipping and for comparison b) using horizontal constant diffusion.} -\ref{fig-mixedlayer} +\label{fig-mixedlayer} \end{figure}