- Timestamp:
- 2019-09-17T17:04:06+02:00 (5 years ago)
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NEMO/trunk/doc/latex/NEMO/subfiles/chap_model_basics_zstar.tex
r11544 r11558 140 140 %--------------------------------------------namdom---------------------------------------------------- 141 141 142 \nlst{namdom}143 142 %-------------------------------------------------------------------------------------------------------------- 144 143 The split-explicit free surface formulation used in OPA follows the one proposed by \citet{Griffies2004?}. … … 149 148 %> > > > > > > > > > > > > > > > > > > > > > > > > > > > 150 149 \begin{figure}[!t] 151 \ begin{center}152 153 \caption{154 \protect\label{fig:MBZ_dyn_dynspg_ts}155 156 157 158 159 160 161 162 163 164 165 166 167 168 A baroclinic leap-frog time step carries the surface height to $t+\Delta t$ using the convergence of169 the time averaged vertically integrated velocity taken from baroclinic time step t.170 }171 \ end{center}150 \centering 151 \includegraphics[width=\textwidth]{Fig_DYN_dynspg_ts} 152 \caption[Schematic of the split-explicit time stepping scheme for 153 the barotropic and baroclinic modes, after \citet{Griffies2004?}]{ 154 Schematic of the split-explicit time stepping scheme for the barotropic and baroclinic modes, 155 after \citet{Griffies2004?}. 156 Time increases to the right. 157 Baroclinic time steps are denoted by $t-\Delta t$, $t, t+\Delta t$, and $t+2\Delta t$. 158 The curved line represents a leap-frog time step, 159 and the smaller barotropic time steps $N \Delta t=2\Delta t$ are denoted by the zig-zag line. 160 The vertically integrated forcing \textbf{M}(t) computed at 161 baroclinic time step t represents the interaction between the barotropic and baroclinic motions. 162 While keeping the total depth, tracer, and freshwater forcing fields fixed, 163 a leap-frog integration carries the surface height and vertically integrated velocity from 164 t to $t+2 \Delta t$ using N barotropic time steps of length $\Delta t$. 165 Time averaging the barotropic fields over the N+1 time steps (endpoints included) 166 centers the vertically integrated velocity at the baroclinic timestep $t+\Delta t$. 167 A baroclinic leap-frog time step carries the surface height to $t+\Delta t$ using 168 the convergence of the time averaged vertically integrated velocity taken from 169 baroclinic time step t.} 170 \label{fig:MBZ_dyn_dynspg_ts} 172 171 \end{figure} 173 172 %> > > > > > > > > > > > > > > > > > > > > > > > > > > >
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