Ignore:
Timestamp:
2011-01-09T05:55:20+01:00 (10 years ago)
Author:
gm
Message:

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

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1 edited

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

    r2376 r2541  
    900900 
    901901The filtered formulation follows the \citet{Roullet_Madec_JGR00} implementation.  
    902 The extra term introduced in the equations (see {\S}I.2.2) is solved implicitly.  
     902The extra term introduced in the equations (see \S\ref{PE_free_surface}) is solved implicitly.  
    903903The elliptic solvers available in the code are documented in \S\ref{MISC}. 
    904904 
    905905%% gm %%======>>>>   given here the discrete eqs provided to the solver 
     906\gmcomment{               %%% copy from chap-model basics  
     907\begin{equation} \label{Eq_spg_flt} 
     908\frac{\partial {\rm {\bf U}}_h }{\partial t}= {\rm {\bf M}} 
     909- g \nabla \left( \tilde{\rho} \ \eta \right)  
     910- g \ T_c \nabla \left( \widetilde{\rho} \ \partial_t \eta \right)  
     911\end{equation} 
     912where $T_c$, is a parameter with dimensions of time which characterizes the force,  
     913$\widetilde{\rho} = \rho / \rho_o$ is the dimensionless density, and $\rm {\bf M}$  
     914represents the collected contributions of the Coriolis, hydrostatic pressure gradient,  
     915non-linear and viscous terms in \eqref{Eq_PE_dyn}. 
     916}   %end gmcomment 
    906917 
    907918Note that in the linear free surface formulation (\key{vvl} not defined), the ocean depth  
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