--- manual/s_algorithm/text/shap.tex 2001/10/25 18:36:53 1.3 +++ manual/s_algorithm/text/shap.tex 2010/08/30 23:09:18 1.7 @@ -1,9 +1,10 @@ -% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/shap.tex,v 1.3 2001/10/25 18:36:53 cnh Exp $ +% $Header: /home/ubuntu/mnt/e9_copy/manual/s_algorithm/text/shap.tex,v 1.7 2010/08/30 23:09:18 jmc Exp $ % $Name: $ \section{Shapiro Filter} +\label{sec:shapiro-filter} -The Shapiro filter (Shapiro 1970, 1975) is a high order horizontal +The Shapiro filter \cite{Shapiro_70} is a high order horizontal filter that efficiently remove small scale grid noise without affecting the physical structures of a field. It is applied at the end of the time step %(the\_correction\_step), @@ -21,7 +22,7 @@ using pure numerical differences and ignoring grid spacing. This later form is stable whatever the grid is, and therefore -specially useful for highly anisotropic grid such as spherical +specially useful for highly anisotropic grid such as spherical coordinate grid. A damping time-scale parameter $\tau_{shap}$ defines the strength of the filter damping. @@ -60,3 +61,17 @@ $L_{shap} < \mathrm{Min}^{(Global)}(\Delta x,\Delta y)$. \marginpar{Add Response functions and figures} + +\subsection{SHAP Diagnostics} +\label{sec:pkg:shap_filt:diagnostics} + +\begin{verbatim} + +------------------------------------------------------------------------ +<-Name->|Levs|<-parsing code->|<-- Units -->|<- Tile (max=80c) +------------------------------------------------------------------------ +SHAP_dT | 5 |SM MR |K/s |Temperature Tendency due to Shapiro Filter +SHAP_dS | 5 |SM MR |g/kg/s |Specific Humidity Tendency due to Shapiro Filter +SHAP_dU | 5 |UU 148MR |m/s^2 |Zonal Wind Tendency due to Shapiro Filter +SHAP_dV | 5 |VV 147MR |m/s^2 |Meridional Wind Tendency due to Shapiro Filter +\end{verbatim}