Changeset 2541 for trunk/DOC/TexFiles/Chapters/Chap_DYN.tex

Timestamp:

2011-01-09T05:55:20+01:00 (13 years ago)

Author:

gm

Message:

v3.3beta: #658 hopefully the final update, including MPP sum, SIGN, IOM, fldread documentation

File:

• trunk/DOC/TexFiles/Chapters/Chap_DYN.tex (modified) (1 diff)

trunk/DOC/TexFiles/Chapters/Chap_DYN.tex

@@ -900 +900 @@
 
 The filtered formulation follows the \citet{Roullet_Madec_JGR00} implementation. 
-The extra term introduced in the equations (see {\S}I.2.2) is solved implicitly. 
+The extra term introduced in the equations (see \S\ref{PE_free_surface}) is solved implicitly. 
 The elliptic solvers available in the code are documented in \S\ref{MISC}.
 
 %% gm %%======>>>>   given here the discrete eqs provided to the solver
+\gmcomment{               %%% copy from chap-model basics 
+\begin{equation} \label{Eq_spg_flt}
+\frac{\partial {\rm {\bf U}}_h }{\partial t}= {\rm {\bf M}}
+- g \nabla \left( \tilde{\rho} \ \eta \right) 
+- g \ T_c \nabla \left( \widetilde{\rho} \ \partial_t \eta \right) 
+\end{equation}
+where $T_c$, is a parameter with dimensions of time which characterizes the force, 
+$\widetilde{\rho} = \rho / \rho_o$ is the dimensionless density, and $\rm {\bf M}$ 
+represents the collected contributions of the Coriolis, hydrostatic pressure gradient, 
+non-linear and viscous terms in \eqref{Eq_PE_dyn}.
+}   %end gmcomment
 
 Note that in the linear free surface formulation (\key{vvl} not defined), the ocean depth