Changeset 2376 for branches/nemo_v3_3_beta/DOC/TexFiles/Chapters/Chap_Model_Basics_zstar.tex

Timestamp:

2010-11-11T18:01:29+01:00 (13 years ago)

Author:

gm

Message:

v3.3beta: better TKE description, CFG a new Chapter, and correction of Fig references

File:

• branches/nemo_v3_3_beta/DOC/TexFiles/Chapters/Chap_Model_Basics_zstar.tex (modified) (1 diff)

branches/nemo_v3_3_beta/DOC/TexFiles/Chapters/Chap_Model_Basics_zstar.tex

@@ -117 +117 @@
 
 %>   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >   >
-\begin{figure}[!t] \label{Fig_DYN_dynspg_ts}
-\begin{center}
+\begin{figure}[!t]   \begin{center}
 \includegraphics[width=0.90\textwidth]{./Figures/Fig_DYN_dynspg_ts.pdf}
-\caption{Schematic of the split-explicit time stepping scheme for the barotropic and baroclinic modes, after \citet{Griffies2004}. Time increases to the right. Baroclinic time steps are denoted by $t-\Delta t$, $t, t+\Delta t$, and $t+2\Delta t$. The curved line represents a leap-frog time step, and the smaller barotropic time steps $N \Delta t=2\Delta t$ are denoted by the zig-zag line. The vertically integrated forcing \textbf{M}(t) computed at baroclinic time step t represents the interaction between the barotropic and baroclinic motions. While keeping the total depth, tracer, and freshwater forcing fields fixed, a leap-frog integration carries the surface height and vertically integrated velocity from t to $t+2 \Delta t$ using N barotropic time steps of length $\Delta t$. Time averaging the barotropic fields over the N+1 time steps (endpoints included) centers the vertically integrated velocity at the baroclinic timestep $t+\Delta t$. A baroclinic leap-frog time step carries the surface height to $t+\Delta t$ using the convergence of the time averaged vertically integrated velocity taken from baroclinic time step t. }
+\caption{    \label{Fig_DYN_dynspg_ts}
+Schematic of the split-explicit time stepping scheme for the barotropic and baroclinic modes, 
+after \citet{Griffies2004}. Time increases to the right. Baroclinic time steps are denoted by 
+$t-\Delta t$, $t, t+\Delta t$, and $t+2\Delta t$. The curved line represents a leap-frog time step, 
+and the smaller barotropic time steps $N \Delta t=2\Delta t$ are denoted by the zig-zag line. 
+The vertically integrated forcing \textbf{M}(t) computed at baroclinic time step t represents 
+the interaction between the barotropic and baroclinic motions. While keeping the total depth, 
+tracer, and freshwater forcing fields fixed, a leap-frog integration carries the surface height 
+and vertically integrated velocity from t to $t+2 \Delta t$ using N barotropic time steps of length 
+$\Delta t$. Time averaging the barotropic fields over the N+1 time steps (endpoints included) 
+centers the vertically integrated velocity at the baroclinic timestep $t+\Delta t$. 
+A baroclinic leap-frog time step carries the surface height to $t+\Delta t$ using the convergence 
+of the time averaged vertically integrated velocity taken from baroclinic time step t. }
 \end{center}
 \end{figure}