--- manual/s_phys_pkgs/text/gmredi.tex 2011/06/27 02:08:35 1.16 +++ manual/s_phys_pkgs/text/gmredi.tex 2013/03/26 15:10:46 1.18 @@ -5,9 +5,10 @@ \end{rawhtml} There are two parts to the Redi/GM parameterization of geostrophic -eddies. The first, the Redi scheme \citep{re82}, aims to mix tracer properties along isentropes -(neutral surfaces) by means of a diffusion operator oriented along the -local isentropic surface. The second part, GM \citep{gen-mcw:90,gen-eta:95}, adiabatically +eddies. The first, the Redi scheme \citep{re82}, aims to mix tracer properties +along isentropes (neutral surfaces) by means of a diffusion operator oriented +along the local isentropic surface. +The second part, GM \citep{gen-mcw:90,gen-eta:95}, adiabatically re-arranges tracers through an advective flux where the advecting flow is a function of slope of the isentropic surfaces. @@ -46,10 +47,10 @@ $\bf{K}_{Redi}$ is a rank 2 tensor that projects the gradient of $\tau$ onto the isopycnal surface. The unapproximated projection tensor is: \begin{equation} -\bf{K}_{Redi} = \left( +\bf{K}_{Redi} = \frac{1}{1 + |S|^2} \left( \begin{array}{ccc} -1 + S_x& S_x S_y & S_x \\ -S_x S_y & 1 + S_y & S_y \\ +1 + S_y^2& -S_x S_y & S_x \\ +-S_x S_y & 1 + S_x^2 & S_y \\ S_x & S_y & |S|^2 \\ \end{array} \right) @@ -385,7 +386,7 @@ \subsubsection*{Tapering: Large, Danabasoglu and Doney, JPO 1997} -The tapering used in \cite{ldd:97} is based on the +The tapering used in \cite{lar-eta:97} is based on the DM95 tapering scheme, but also tapers the scheme with an additional function of height, $f_2(z)$, so that the GM/Redi SGS fluxes are reduced near the surface: