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Changeset 3294 for trunk/DOC/TexFiles/Chapters/Chap_DOM.tex – NEMO

Ignore:
Timestamp:
2012-01-28T17:44:18+01:00 (12 years ago)
Author:
rblod
Message:

Merge of 3.4beta into the trunk

File:
1 edited

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

    • Property svn:executable deleted
    r2376 r3294  
    8181 
    8282%>>>>>>>>>>>>>>>>>>>>>>>>>>>> 
    83 \begin{table}[!tb] \label{Tab_cell} 
     83\begin{table}[!tb] 
    8484\begin{center} \begin{tabular}{|p{46pt}|p{56pt}|p{56pt}|p{56pt}|} 
    8585\hline 
     
    9393fw & $i+1/2$   & $j+1/2$   & $k+1/2$   \\ \hline 
    9494\end{tabular} 
    95 \caption{ \label{Tab_cell}    
     95\caption{ \label{Tab_cell} 
    9696Location of grid-points as a function of integer or integer and a half value of the column,  
    9797line or level. This indexing is only used for the writing of the semi-discrete equation.  
     
    123123the following discrete forms in the curvilinear $s$-coordinate system: 
    124124\begin{equation} \label{Eq_DOM_grad} 
    125 \nabla q\equiv    \frac{1}{e_{1u} } \delta _{i+1/2 } [q] \;\,{\rm {\bf i}} 
    126       +  \frac{1}{e_{2v} } \delta _{j+1/2 } [q] \;\,{\rm {\bf j}} 
    127       +  \frac{1}{e_{3w}} \delta _{k+1/2} [q] \;\,{\rm {\bf k}} 
     125\nabla q\equiv    \frac{1}{e_{1u} } \delta _{i+1/2 } [q] \;\,\mathbf{i} 
     126      +  \frac{1}{e_{2v} } \delta _{j+1/2 } [q] \;\,\mathbf{j} 
     127      +  \frac{1}{e_{3w}} \delta _{k+1/2} [q] \;\,\mathbf{k} 
    128128\end{equation} 
    129129\begin{multline} \label{Eq_DOM_lap} 
    130 \Delta q\equiv \frac{1}{e_{1t}\,e_{2t}\,e_{3t} }  
     130\Delta q\equiv \frac{1}{e_{1t}\,e_{2t}\,e_{3t} } 
    131131       \;\left(          \delta_i  \left[ \frac{e_{2u}\,e_{3u}} {e_{1u}} \;\delta_{i+1/2} [q] \right] 
    132132+                        \delta_j  \left[ \frac{e_{1v}\,e_{3v}}  {e_{2v}} \;\delta_{j+1/2} [q] \right] \;  \right)      \\ 
     
    139139\begin{eqnarray}  \label{Eq_DOM_curl} 
    140140 \nabla \times {\rm {\bf A}}\equiv & 
    141       \frac{1}{e_{2v}\,e_{3vw} } \ \left( \delta_{j +1/2} \left[e_{3w}\,a_3 \right] -\delta_{k+1/2} \left[e_{2v} \,a_2 \right] \right)  &\ \rm{\bf i} \\  
    142  +& \frac{1}{e_{2u}\,e_{3uw}} \ \left( \delta_{k+1/2} \left[e_{1u}\,a_1  \right] -\delta_{i +1/2} \left[e_{3w}\,a_3 \right] \right)  &\ \rm{\bf j} \\  
    143  +& \frac{1}{e_{1f} \,e_{2f}    } \ \left( \delta_{i +1/2} \left[e_{2v}\,a_2  \right] -\delta_{j +1/2} \left[e_{1u}\,a_1 \right] \right)  &\ \rm{\bf k} 
     141      \frac{1}{e_{2v}\,e_{3vw} } \ \left( \delta_{j +1/2} \left[e_{3w}\,a_3 \right] -\delta_{k+1/2} \left[e_{2v} \,a_2 \right] \right)  &\ \mathbf{i} \\  
     142 +& \frac{1}{e_{2u}\,e_{3uw}} \ \left( \delta_{k+1/2} \left[e_{1u}\,a_1  \right] -\delta_{i +1/2} \left[e_{3w}\,a_3 \right] \right)  &\ \mathbf{j} \\ 
     143 +& \frac{1}{e_{1f} \,e_{2f}    } \ \left( \delta_{i +1/2} \left[e_{2v}\,a_2  \right] -\delta_{j +1/2} \left[e_{1u}\,a_1 \right] \right)  &\ \mathbf{k} 
    144144 \end{eqnarray} 
    145145\begin{equation} \label{Eq_DOM_div} 
     
    819819\end{align*} 
    820820 
    821 \gmcomment{ STEVEN: are the dots multiplications?}       
    822  
    823821Note that \textit{wmask} is not defined as it is exactly equal to \textit{tmask} with  
    824822the numerical indexing used (\S~\ref{DOM_Num_Index}). Moreover, the  
     
    832830\gmcomment{   \colorbox{yellow}{Add one word on tricky trick !} mbathy in further modified in zdfbfr{\ldots}.  } 
    833831%%% 
     832 
     833% ================================================================ 
     834% Domain: Initial State (dtatsd & istate) 
     835% ================================================================ 
     836\section  [Domain: Initial State (\textit{istate and dtatsd})] 
     837      {Domain: Initial State \small{(\mdl{istate} and \mdl{dtatsd} modules)} } 
     838\label{DTA_tsd} 
     839%-----------------------------------------namtsd------------------------------------------- 
     840\namdisplay{namtsd}  
     841%------------------------------------------------------------------------------------------ 
     842 
     843By default, the ocean start from rest (the velocity field is set to zero) and the initialization of  
     844temperature and salinity fields is controlled through the \np{ln\_tsd\_ini} namelist parameter. 
     845\begin{description} 
     846\item[ln\_tsd\_init = .true.]  use a T and S input files that can be given on the model grid itself or  
     847on their native input data grid. In the latter case, the data will be interpolated on-the-fly both in the  
     848horizontal and the vertical to the model grid (see \S~\ref{SBC_iof}). The information relative to the  
     849input files are given in the \np{sn\_tem} and \np{sn\_sal} structures.  
     850The computation is done in the \mdl{dtatsd} module. 
     851\item[ln\_tsd\_init = .false.] use constant salinity value of 35.5 psu and an analytical profile of temperature 
     852(typical of the tropical ocean), see \rou{istate\_t\_s} subroutine called from \mdl{istate} module. 
     853\end{description} 
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