Changeset 11558 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_time_domain.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_time_domain.tex
r11543 r11558 186 186 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 187 187 \begin{figure}[!t] 188 \begin{center} 189 \includegraphics[width=\textwidth]{Fig_TimeStepping_flowchart_v4} 190 \caption{ 191 \protect\label{fig:TD_TimeStep_flowchart} 192 Sketch of the leapfrog time stepping sequence in \NEMO\ with split-explicit free surface. The latter combined 193 with non-linear free surface requires the dynamical tendency being updated prior tracers tendency to ensure 194 conservation. Note the use of time integrated fluxes issued from the barotropic loop in subsequent calculations 195 of tracer advection and in the continuity equation. Details about the time-splitting scheme can be found 196 in \autoref{subsec:DYN_spg_ts}. 197 } 198 \end{center} 188 \centering 189 \includegraphics[width=\textwidth]{Fig_TimeStepping_flowchart_v4} 190 \caption[Leapfrog time stepping sequence with split-explicit free surface]{ 191 Sketch of the leapfrog time stepping sequence in \NEMO\ with split-explicit free surface. 192 The latter combined with non-linear free surface requires the dynamical tendency being 193 updated prior tracers tendency to ensure conservation. 194 Note the use of time integrated fluxes issued from the barotropic loop in 195 subsequent calculations of tracer advection and in the continuity equation. 196 Details about the time-splitting scheme can be found in \autoref{subsec:DYN_spg_ts}.} 197 \label{fig:TD_TimeStep_flowchart} 199 198 \end{figure} 200 199 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 248 247 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> 249 248 \begin{figure}[!t] 250 \ begin{center}251 252 \caption{253 \protect\label{fig:TD_MLF_forcing}254 Illustration of forcing integration methods.255 (top) ''Traditional'' formulation:256 the forcing is defined at the same time as the variable to which it is applied257 (integer value of the time step index) and it is applied over a $2 \rdt$ period.258 (bottom) modified formulation:259 the forcing is defined in the middle of the time(integer and a half value of the time step index) and260 the mean of two successive forcing values ($n - 1 / 2$, $n + 1 / 2$) is applied over a $2 \rdt$ period.261 }262 \ end{center}249 \centering 250 \includegraphics[width=\textwidth]{Fig_MLF_forcing} 251 \caption[Forcing integration methods for modified leapfrog (top and bottom)]{ 252 Illustration of forcing integration methods. 253 (top) ''Traditional'' formulation: 254 the forcing is defined at the same time as the variable to which it is applied 255 (integer value of the time step index) and it is applied over a $2 \rdt$ period. 256 (bottom) modified formulation: 257 the forcing is defined in the middle of the time 258 (integer and a half value of the time step index) and 259 the mean of two successive forcing values ($n - 1 / 2$, $n + 1 / 2$) is applied over 260 a $2 \rdt$ period.} 261 \label{fig:TD_MLF_forcing} 263 262 \end{figure} 264 263 %>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 271 270 272 271 %--------------------------------------------namrun------------------------------------------- 273 \nlst{namrun} 272 \begin{listing} 273 \nlst{namrun} 274 \caption{\texttt{namrun}} 275 \label{lst:namrun} 276 \end{listing} 274 277 %-------------------------------------------------------------------------------------------------------------- 275 278 … … 317 320 %--------------------------------------------namrun------------------------------------------- 318 321 319 \nlst{namdom}320 322 %-------------------------------------------------------------------------------------------------------------- 321 323
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