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branches/2015/nemo_v3_6_STABLE/DOC/TexFiles/Chapters/Chap_DOM.tex
r5120 r6275 1 1 % ================================================================ 2 % Chapter 2 �Space and Time Domain (DOM)2 % Chapter 2 ——— Space and Time Domain (DOM) 3 3 % ================================================================ 4 4 \chapter{Space Domain (DOM) } … … 138 138 and $f$-points, and its divergence defined at $t$-points: 139 139 \begin{eqnarray} \label{Eq_DOM_curl} 140 \nabla \times {\rm 140 \nabla \times {\rm{\bf A}}\equiv & 141 141 \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} \\ 142 142 +& \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} \\ … … 183 183 Let $a$ and $b$ be two fields defined on the mesh, with value zero inside 184 184 continental area. Using integration by parts it can be shown that the differencing 185 operators ($\delta_i$, $\delta_j$ and $\delta_k$) are anti-symmetric linear186 operators,and further that the averaging operators $\overline{\,\cdot\,}^{\,i}$,185 operators ($\delta_i$, $\delta_j$ and $\delta_k$) are skew-symmetric linear operators, 186 and further that the averaging operators $\overline{\,\cdot\,}^{\,i}$, 187 187 $\overline{\,\cdot\,}^{\,k}$ and $\overline{\,\cdot\,}^{\,k}$) are symmetric linear 188 188 operators, $i.e.$ … … 364 364 For both grids here, the same $w$-point depth has been chosen but in (a) the 365 365 $t$-points are set half way between $w$-points while in (b) they are defined from 366 an analytical function: $z(k)=5\,( i-1/2)^3 - 45\,(i-1/2)^2 + 140\,(i-1/2) - 150$.366 an analytical function: $z(k)=5\,(k-1/2)^3 - 45\,(k-1/2)^2 + 140\,(k-1/2) - 150$. 367 367 Note the resulting difference between the value of the grid-size $\Delta_k$ and 368 368 those of the scale factor $e_k$. } … … 425 425 426 426 The choice of the grid must be consistent with the boundary conditions specified 427 by the parameter \np{jperio}(see {\S\ref{LBC}).427 by \np{jperio}, a parameter found in \ngn{namcfg} namelist (see {\S\ref{LBC}). 428 428 429 429 % ------------------------------------------------------------------------------------------------------------- … … 481 481 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 482 482 483 The choice of a vertical coordinate, even if it is made through a namelist parameter,483 The choice of a vertical coordinate, even if it is made through \ngn{namzgr} namelist parameters, 484 484 must be done once of all at the beginning of an experiment. It is not intended as an 485 485 option which can be enabled or disabled in the middle of an experiment. Three main … … 498 498 Contrary to the horizontal grid, the vertical grid is computed in the code and no 499 499 provision is made for reading it from a file. The only input file is the bathymetry 500 (in meters) (\ifile{bathy\_meter}) 500 (in meters) (\ifile{bathy\_meter}). 501 501 \footnote{N.B. in full step $z$-coordinate, a \ifile{bathy\_level} file can replace the 502 502 \ifile{bathy\_meter} file, so that the computation of the number of wet ocean point … … 540 540 541 541 Three options are possible for defining the bathymetry, according to the 542 namelist variable \np{nn\_bathy} :542 namelist variable \np{nn\_bathy} (found in \ngn{namdom} namelist): 543 543 \begin{description} 544 544 \item[\np{nn\_bathy} = 0] a flat-bottom domain is defined. The total depth $z_w (jpk)$ … … 721 721 usually 10\%, of the default thickness $e_{3t}(jk)$). 722 722 723 \colorbox{yellow}{Add a figure here of pstep especially at last ocean level}723 \gmcomment{ \colorbox{yellow}{Add a figure here of pstep especially at last ocean level } } 724 724 725 725 % -------------------------------------------------------------------------------------------------------------
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