Changeset 3294 for trunk/DOC/TexFiles/Chapters/Chap_DOM.tex
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- 2012-01-28T17:44:18+01:00 (12 years ago)
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trunk/DOC/TexFiles/Chapters/Chap_DOM.tex
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r2376 r3294 81 81 82 82 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 83 \begin{table}[!tb] \label{Tab_cell}83 \begin{table}[!tb] 84 84 \begin{center} \begin{tabular}{|p{46pt}|p{56pt}|p{56pt}|p{56pt}|} 85 85 \hline … … 93 93 fw & $i+1/2$ & $j+1/2$ & $k+1/2$ \\ \hline 94 94 \end{tabular} 95 \caption{ \label{Tab_cell} 95 \caption{ \label{Tab_cell} 96 96 Location of grid-points as a function of integer or integer and a half value of the column, 97 97 line or level. This indexing is only used for the writing of the semi-discrete equation. … … 123 123 the following discrete forms in the curvilinear $s$-coordinate system: 124 124 \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} 128 128 \end{equation} 129 129 \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} } 131 131 \;\left( \delta_i \left[ \frac{e_{2u}\,e_{3u}} {e_{1u}} \;\delta_{i+1/2} [q] \right] 132 132 + \delta_j \left[ \frac{e_{1v}\,e_{3v}} {e_{2v}} \;\delta_{j+1/2} [q] \right] \; \right) \\ … … 139 139 \begin{eqnarray} \label{Eq_DOM_curl} 140 140 \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{\bfi} \\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{\bfk}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} 144 144 \end{eqnarray} 145 145 \begin{equation} \label{Eq_DOM_div} … … 819 819 \end{align*} 820 820 821 \gmcomment{ STEVEN: are the dots multiplications?}822 823 821 Note that \textit{wmask} is not defined as it is exactly equal to \textit{tmask} with 824 822 the numerical indexing used (\S~\ref{DOM_Num_Index}). Moreover, the … … 832 830 \gmcomment{ \colorbox{yellow}{Add one word on tricky trick !} mbathy in further modified in zdfbfr{\ldots}. } 833 831 %%% 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 %------------------------------------------------------------------------------------------ 842 843 By default, the ocean start from rest (the velocity field is set to zero) and the initialization of 844 temperature 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 847 on their native input data grid. In the latter case, the data will be interpolated on-the-fly both in the 848 horizontal and the vertical to the model grid (see \S~\ref{SBC_iof}). The information relative to the 849 input files are given in the \np{sn\_tem} and \np{sn\_sal} structures. 850 The 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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