Changeset 11596 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_LDF.tex
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NEMO/trunk/doc/latex/NEMO/subfiles/chap_LDF.tex
r11584 r11596 3 3 \begin{document} 4 4 5 % ================================================================6 % Chapter Lateral Ocean Physics (LDF)7 % ================================================================8 5 \chapter{Lateral Ocean Physics (LDF)} 9 6 \label{chap:LDF} 10 7 11 8 \chaptertoc 12 13 \newpage14 9 15 10 The lateral physics terms in the momentum and tracer equations have been described in \autoref{eq:MB_zdf} and … … 31 26 %-------------------------------------------------------------------------------------------------------------- 32 27 33 % ================================================================34 % Lateral Mixing Operator35 % ================================================================36 28 \section[Lateral mixing operators]{Lateral mixing operators} 37 29 \label{sec:LDF_op} … … 55 47 We stress again that from \NEMO\ 4, the simultaneous use Laplacian and Bilaplacian operators is not allowed. 56 48 57 % ================================================================58 % Direction of lateral Mixing59 % ================================================================60 49 \section[Direction of lateral mixing (\textit{ldfslp.F90})]{Direction of lateral mixing (\protect\mdl{ldfslp})} 61 50 \label{sec:LDF_slp} … … 151 140 \begin{description} 152 141 153 \item [$z$-coordinate with full step: ]142 \item [$z$-coordinate with full step: ] 154 143 in \autoref{eq:LDF_slp_iso} the densities appearing in the $i$ and $j$ derivatives are taken at the same depth, 155 144 thus the $in situ$ density can be used. … … 158 147 (see \autoref{subsec:TRA_bn2}). 159 148 160 \item [$z$-coordinate with partial step: ]149 \item [$z$-coordinate with partial step: ] 161 150 this case is identical to the full step case except that at partial step level, 162 151 the \emph{horizontal} density gradient is evaluated as described in \autoref{sec:TRA_zpshde}. 163 152 164 \item [$s$- or hybrid $s$-$z$- coordinate: ]153 \item [$s$- or hybrid $s$-$z$- coordinate: ] 165 154 in the current release of \NEMO, iso-neutral mixing is only employed for $s$-coordinates if 166 155 the Griffies scheme is used (\np[=.true.]{ln_traldf_triad}{ln\_traldf\_triad}; … … 234 223 contrary to the \citet{griffies.gnanadesikan.ea_JPO98} operator which has that property. 235 224 236 %>>>>>>>>>>>>>>>>>>>>>>>>>>>>237 225 \begin{figure}[!ht] 238 226 \centering … … 241 229 \label{fig:LDF_ZDF1} 242 230 \end{figure} 243 %>>>>>>>>>>>>>>>>>>>>>>>>>>>>244 231 245 232 %There are three additional questions about the slope calculation. … … 249 236 250 237 %from griffies: chapter 13.1.... 251 252 253 238 254 239 % In addition and also for numerical stability reasons \citep{cox_OM87, griffies_bk04}, … … 264 249 \colorbox{yellow}{The way slopes are tapered has be checked. Not sure that this is still what is actually done.} 265 250 266 %>>>>>>>>>>>>>>>>>>>>>>>>>>>>267 251 \begin{figure}[!ht] 268 252 \centering … … 286 270 \label{fig:LDF_eiv_slp} 287 271 \end{figure} 288 %>>>>>>>>>>>>>>>>>>>>>>>>>>>>289 272 290 273 \colorbox{yellow}{add here a discussion about the flattening of the slopes, vs tapering the coefficient.} … … 316 299 (see \autoref{sec:LBC_coast}). 317 300 318 319 % ================================================================320 % Lateral Mixing Coefficients321 % ================================================================322 301 \section[Lateral mixing coefficient (\forcode{nn_aht_ijk_t} \& \forcode{nn_ahm_ijk_t})]{Lateral mixing coefficient (\protect\np{nn_aht_ijk_t}{nn\_aht\_ijk\_t} \& \protect\np{nn_ahm_ijk_t}{nn\_ahm\_ijk\_t})} 323 302 \label{sec:LDF_coef} … … 467 446 (\autoref{sec:INVARIANTS_dynldf_properties}). 468 447 469 % ================================================================470 % Eddy Induced Mixing471 % ================================================================472 448 \section[Eddy induced velocity (\forcode{ln_ldfeiv})]{Eddy induced velocity (\protect\np{ln_ldfeiv}{ln\_ldfeiv})} 473 449 … … 483 459 484 460 %-------------------------------------------------------------------------------------------------------------- 485 486 461 487 462 %%gm from Triad appendix : to be incorporated.... … … 538 513 In case of setting \np[=.true.]{ln_traldf_triad}{ln\_traldf\_triad}, a skew form of the eddy induced advective fluxes is used, which is described in \autoref{apdx:TRIADS}. 539 514 540 % ================================================================541 % Mixed layer eddies542 % ================================================================543 515 \section[Mixed layer eddies (\forcode{ln_mle})]{Mixed layer eddies (\protect\np{ln_mle}{ln\_mle})} 544 516 \label{sec:LDF_mle}
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