/[MITgcm]/manual/s_phys_pkgs/text/gmredi.tex
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revision 1.4 by adcroft, Tue Nov 13 14:54:50 2001 UTC revision 1.5 by adcroft, Tue Nov 13 19:01:42 2001 UTC
# Line 240  $z_\sigma^{*}$: {\bf dRdSigmaLtd} (argum Line 240  $z_\sigma^{*}$: {\bf dRdSigmaLtd} (argum
240  \begin{center}  \begin{center}
241  \resizebox{5.0in}{3.0in}{\includegraphics{part6/tapers.eps}}  \resizebox{5.0in}{3.0in}{\includegraphics{part6/tapers.eps}}
242  \end{center}  \end{center}
243  \caption{Taper functions used in GKW91 and DM95.}  \caption{Taper functions used in GKW99 and DM95.}
244  \label{fig:tapers}  \label{fig:tapers}
245  \end{figure}  \end{figure}
246    
# Line 303  regions where the limiting is in effect. Line 303  regions where the limiting is in effect.
303    
304  \subsubsection{Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991}  \subsubsection{Tapering: Gerdes, Koberle and Willebrand, Clim. Dyn. 1991}
305    
306  The tapering scheme used in Gerdes et al., 1991, (\cite{gkw91})  The tapering scheme used in Gerdes et al., 1999, (\cite{gkw:99})
307  addressed two issues with the clipping method: the introduction of  addressed two issues with the clipping method: the introduction of
308  large vertical fluxes in addition to convective adjustment fluxes is  large vertical fluxes in addition to convective adjustment fluxes is
309  avoided by tapering the GM/Redi slopes back to zero in  avoided by tapering the GM/Redi slopes back to zero in
# Line 328  GM\_tap\-er\_scheme = 'gkw91'} in {\em d Line 328  GM\_tap\-er\_scheme = 'gkw91'} in {\em d
328  \subsection{Tapering: Danabasoglu and McWilliams, J. Clim. 1995}  \subsection{Tapering: Danabasoglu and McWilliams, J. Clim. 1995}
329    
330  The tapering scheme used by Danabasoglu and McWilliams, 1995,  The tapering scheme used by Danabasoglu and McWilliams, 1995,
331  \cite{DM95}, followed a similar procedure but used a different  \cite{dm:95}, followed a similar procedure but used a different
332  tapering function, $f_1(S)$:  tapering function, $f_1(S)$:
333  \begin{equation}  \begin{equation}
334  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)
# Line 344  GM\_tap\-er\_scheme = 'dm95'} in {\em da Line 344  GM\_tap\-er\_scheme = 'dm95'} in {\em da
344    
345  \subsection{Tapering: Large, Danabasoglu and Doney, JPO 1997}  \subsection{Tapering: Large, Danabasoglu and Doney, JPO 1997}
346    
347  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
348  DM95 tapering scheme, but also tapers the scheme with an additional  DM95 tapering scheme, but also tapers the scheme with an additional
349  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
350  reduced near the surface:  reduced near the surface:
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