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

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Timestamp:
2011-01-09T05:55:20+01:00 (10 years ago)
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v3.3beta: #658 hopefully the final update, including MPP sum, SIGN, IOM, fldread documentation

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• ## trunk/DOC/TexFiles/Chapters/Chap_DYN.tex

 r2376 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
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