Changeset 11558 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_DOM.tex
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- 2019-09-17T17:04:06+02:00 (5 years ago)
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NEMO/trunk/doc/latex/NEMO/subfiles/chap_DOM.tex
r11552 r11558 8 8 \label{chap:DOM} 9 9 10 %\chaptertoc10 \chaptertoc 11 11 12 12 % Missing things: … … 57 57 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 58 58 \begin{figure}[!tb] 59 \begin{center} 60 \includegraphics[width=\textwidth]{Fig_cell} 61 \caption{ 62 \protect\label{fig:DOM_cell} 63 Arrangement of variables. 64 $t$ indicates scalar points where temperature, salinity, density, pressure and 65 horizontal divergence are defined. 66 $(u,v,w)$ indicates vector points, and $f$ indicates vorticity points where both relative and 67 planetary vorticities are defined. 68 } 69 \end{center} 59 \centering 60 \includegraphics[width=\textwidth]{Fig_cell} 61 \caption[Arrangement of variables in the unit cell of space domain]{ 62 Arrangement of variables in the unit cell of space domain. 63 $t$ indicates scalar points where 64 temperature, salinity, density, pressure and horizontal divergence are defined. 65 $(u,v,w)$ indicates vector points, 66 and $f$ indicates vorticity points where 67 both relative and planetary vorticities are defined.} 68 \label{fig:DOM_cell} 70 69 \end{figure} 71 70 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 102 101 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 103 102 \begin{table}[!tb] 104 \ begin{center}105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 \caption{125 \protect\label{tab:DOM_cell}126 Location of grid-points as a function of integer orinteger and a half value of the column, line or level.127 128 In the code, the indexing uses integer values only and is positive downwards in the vertical with $k=1$ at the surface.129 (see \autoref{subsec:DOM_Num_Index})130 }131 \ end{center}103 \centering 104 \begin{tabular}{|p{46pt}|p{56pt}|p{56pt}|p{56pt}|} 105 \hline 106 t & $i $ & $j $ & $k $ \\ 107 \hline 108 u & $i + 1/2$ & $j $ & $k $ \\ 109 \hline 110 v & $i $ & $j + 1/2$ & $k $ \\ 111 \hline 112 w & $i $ & $j $ & $k + 1/2$ \\ 113 \hline 114 f & $i + 1/2$ & $j + 1/2$ & $k $ \\ 115 \hline 116 uw & $i + 1/2$ & $j $ & $k + 1/2$ \\ 117 \hline 118 vw & $i $ & $j + 1/2$ & $k + 1/2$ \\ 119 \hline 120 fw & $i + 1/2$ & $j + 1/2$ & $k + 1/2$ \\ 121 \hline 122 \end{tabular} 123 \caption[Location of grid-points]{ 124 Location of grid-points as a function of integer or 125 integer and a half value of the column, line or level. 126 This indexing is only used for the writing of the semi -discrete equations. 127 In the code, the indexing uses integer values only and 128 is positive downwards in the vertical with $k=1$ at the surface. 129 (see \autoref{subsec:DOM_Num_Index})} 130 \label{tab:DOM_cell} 132 131 \end{table} 133 132 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 148 147 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 149 148 \begin{figure}[!t] 150 \begin{center} 151 \includegraphics[width=\textwidth]{Fig_zgr_e3} 152 \caption{ 153 \protect\label{fig:DOM_zgr_e3} 154 Comparison of (a) traditional definitions of grid-point position and grid-size in the vertical, 155 and (b) analytically derived grid-point position and scale factors. 156 For both grids here, the same $w$-point depth has been chosen but 157 in (a) the $t$-points are set half way between $w$-points while 158 in (b) they are defined from an analytical function: 159 $z(k) = 5 \, (k - 1/2)^3 - 45 \, (k - 1/2)^2 + 140 \, (k - 1/2) - 150$. 160 Note the resulting difference between the value of the grid-size $\Delta_k$ and 161 those of the scale factor $e_k$. 162 } 163 \end{center} 149 \centering 150 \includegraphics[width=\textwidth]{Fig_zgr_e3} 151 \caption[Comparison of grid-point position, vertical grid-size and scale factors]{ 152 Comparison of (a) traditional definitions of grid-point position and grid-size in the vertical, 153 and (b) analytically derived grid-point position and scale factors. 154 For both grids here, the same $w$-point depth has been chosen but 155 in (a) the $t$-points are set half way between $w$-points while 156 in (b) they are defined from an analytical function: 157 $z(k) = 5 \, (k - 1/2)^3 - 45 \, (k - 1/2)^2 + 140 \, (k - 1/2) - 150$. 158 Note the resulting difference between the value of the grid-size $\Delta_k$ and 159 those of the scale factor $e_k$.} 160 \label{fig:DOM_zgr_e3} 164 161 \end{figure} 165 162 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 266 263 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 267 264 \begin{figure}[!tb] 268 \begin{center} 269 \includegraphics[width=\textwidth]{Fig_index_hor} 270 \caption{ 271 \protect\label{fig:DOM_index_hor} 272 Horizontal integer indexing used in the \fortran\ code. 273 The dashed area indicates the cell in which variables contained in arrays have the same $i$- and $j$-indices 274 } 275 \end{center} 265 \centering 266 \includegraphics[width=\textwidth]{Fig_index_hor} 267 \caption[Horizontal integer indexing]{ 268 Horizontal integer indexing used in the \fortran\ code. 269 The dashed area indicates the cell in which 270 variables contained in arrays have the same $i$- and $j$-indices} 271 \label{fig:DOM_index_hor} 276 272 \end{figure} 277 273 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 321 317 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 322 318 \begin{figure}[!pt] 323 \begin{center} 324 \includegraphics[width=\textwidth]{Fig_index_vert} 325 \caption{ 326 \protect\label{fig:DOM_index_vert} 327 Vertical integer indexing used in the \fortran\ code. 328 Note that the $k$-axis is oriented downward. 329 The dashed area indicates the cell in which variables contained in arrays have a common $k$-index. 330 } 331 \end{center} 319 \centering 320 \includegraphics[width=\textwidth]{Fig_index_vert} 321 \caption[Vertical integer indexing]{ 322 Vertical integer indexing used in the \fortran\ code. 323 Note that the $k$-axis is oriented downward. 324 The dashed area indicates the cell in which 325 variables contained in arrays have a common $k$-index.} 326 \label{fig:DOM_index_vert} 332 327 \end{figure} 333 328 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 338 333 \section{Spatial domain configuration} 339 334 \label{subsec:DOM_config} 340 341 \nlst{namcfg}342 335 343 336 Two typical methods are available to specify the spatial domain configuration; … … 468 461 \label{subsec:DOM_zgr} 469 462 %-----------------------------------------namdom------------------------------------------- 470 \nlst{namdom} 463 \begin{listing} 464 \nlst{namdom} 465 \caption{\texttt{namdom}} 466 \label{lst:namdom} 467 \end{listing} 471 468 %------------------------------------------------------------------------------------------------------------- 472 469 … … 482 479 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 483 480 \begin{figure}[!tb] 484 \begin{center} 485 \includegraphics[width=\textwidth]{Fig_z_zps_s_sps} 486 \caption{ 487 \protect\label{fig:DOM_z_zps_s_sps} 488 The ocean bottom as seen by the model: 489 (a) $z$-coordinate with full step, 490 (b) $z$-coordinate with partial step, 491 (c) $s$-coordinate: terrain following representation, 492 (d) hybrid $s-z$ coordinate, 493 (e) hybrid $s-z$ coordinate with partial step, and 494 (f) same as (e) but in the non-linear free surface (\protect\np{ln\_linssh}\forcode{=.false.}). 495 Note that the non-linear free surface can be used with any of the 5 coordinates (a) to (e). 496 } 497 \end{center} 481 \centering 482 \includegraphics[width=\textwidth]{Fig_z_zps_s_sps} 483 \caption[Ocean bottom regarding coordinate systems ($z$, $s$ and hybrid $s-z$)]{ 484 The ocean bottom as seen by the model: 485 (a) $z$-coordinate with full step, 486 (b) $z$-coordinate with partial step, 487 (c) $s$-coordinate: terrain following representation, 488 (d) hybrid $s-z$ coordinate, 489 (e) hybrid $s-z$ coordinate with partial step, and 490 (f) same as (e) but in the non-linear free surface (\protect\np{ln\_linssh}\forcode{=.false.}). 491 Note that the non-linear free surface can be used with any of the 5 coordinates (a) to (e).} 492 \label{fig:DOM_z_zps_s_sps} 498 493 \end{figure} 499 494 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 654 649 \label{subsec:DOM_meshmask} 655 650 656 \nlst{namcfg}657 658 651 Most of the arrays relating to a particular ocean model configuration discussed in this chapter 659 652 (grid-point position, scale factors) … … 665 658 checking or confirmation is required. 666 659 667 \nlst{namdom}668 669 660 Alternatively, all the arrays relating to a particular ocean model configuration 670 661 (grid-point position, scale factors, depths and masks) … … 680 671 \label{sec:DOM_DTA_tsd} 681 672 %-----------------------------------------namtsd------------------------------------------- 682 \nlst{namtsd} 673 \begin{listing} 674 \nlst{namtsd} 675 \caption{\texttt{namtsd}} 676 \label{lst:namtsd} 677 \end{listing} 683 678 %------------------------------------------------------------------------------------------ 684 679
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