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--- manual/s_examples/deep_convection/convection.tex 2001/12/19 14:34:39 1.1
+++ manual/s_examples/deep_convection/convection.tex 2002/02/28 19:32:19 1.2
@@ -1,4 +1,4 @@
-\section{Example: Surface driven convection}
+\section{Surface Driven Convection}
\label{sect:eg-bconv}
\bodytext{bgcolor="#FFFFFFFF"}
@@ -22,10 +22,10 @@
for the surface driven convection experiment. The domain is doubly periodic
with an initially uniform temperature of 20 $^oC$.
}
-\label{FIG:simulation_config}
+\label{FIG:eg-bconv-simulation_config}
\end{figure}
-This experiment, figure \ref{FIG:simulation_config}, showcasing MITgcm's non-hydrostatic capability, was designed to explore
+This experiment, figure \ref{FIG:eg-bconv-simulation_config}, showcasing MITgcm's non-hydrostatic capability, was designed to explore
the temporal and spatial characteristics of convection plumes as they might exist during a
period of oceanic deep convection. It is
@@ -50,14 +50,14 @@
used in this experiment is linear
\begin{equation}
-\label{EQ:linear1_eos}
+\label{EQ:eg-bconv-linear1_eos}
\rho = \rho_{0} ( 1 - \alpha_{\theta}\theta^{'} )
\end{equation}
\noindent which is implemented in the model as a density anomaly equation
\begin{equation}
-\label{EQ:linear1_eos_pert}
+\label{EQ:eg-bconv-linear1_eos_pert}
\rho^{'} = -\rho_{0}\alpha_{\theta}\theta^{'}
\end{equation}
@@ -72,9 +72,10 @@
As the fluid in the surface layer is cooled (at a mean rate of 800 Wm$^2$), it becomes
convectively unstable and
overturns, at first close to the grid-scale, but, as the flow matures, on larger scales
-(figures \ref{FIG:vertsection} and \ref{FIG:horizsection}), under the influence of
+(figures \ref{FIG:eg-bconv-vertsection} and \ref{FIG:eg-bconv-horizsection}), under the influence of
rotation ($f_o = 10^{-4}$ s$^{-1}$) .
+\begin{rawhtml}MITGCM_INSERT_FIGURE_BEGIN surf-convection-vertsection\end{rawhtml}
\begin{figure}
\begin{center}
\resizebox{15cm}{10cm}{
@@ -83,9 +84,12 @@
\end{center}
\caption{
}
-\label{FIG:vertsection}
+\label{FIG:eg-bconv-vertsection}
+\label{fig:surf-convection-vertsection}
\end{figure}
+\begin{rawhtml}MITGCM_INSERT_FIGURE_END\end{rawhtml}
+\begin{rawhtml}MITGCM_INSERT_FIGURE_BEGIN surf-convection-horizsection\end{rawhtml}
\begin{figure}
\begin{center}
\resizebox{10cm}{10cm}{
@@ -94,8 +98,10 @@
\end{center}
\caption{
}
-\label{FIG:horizsection}
+\label{FIG:eg-bconv-horizsection}
+\label{fig:surf-convection-horizsection}
\end{figure}
+\begin{rawhtml}MITGCM_INSERT_FIGURE_END\end{rawhtml}
Model parameters are specified in file {\it input/data}. The grid dimensions are
prescribed in {\it code/SIZE.h}. The forcing (file {\it input/Qsurf.bin}) is specified
@@ -111,11 +117,11 @@
pressure equation described in Marshall et. al \cite{marshall:97a} is
employed. A horizontal Laplacian operator $\nabla_{h}^2$ provides viscous
dissipation. The thermodynamic forcing appears as a sink in the potential temperature,
-$\theta$, equation (\ref{EQ:global_forcing_ft}). This produces a set of equations
+$\theta$, equation (\ref{EQ:eg-bconv-global_forcing_ft}). This produces a set of equations
solved in this configuration as follows:
\begin{eqnarray}
-\label{EQ:model_equations}
+\label{EQ:eg-bconv-model_equations}
\frac{Du}{Dt} - fv +
\frac{1}{\rho}\frac{\partial p^{'}}{\partial x} -
\nabla_{h}\cdot A_{h}\nabla_{h}u -
@@ -190,7 +196,7 @@
50 m, the implied maximum timestep for stability, $\delta t_u$ is
\begin{eqnarray}
-\label{EQ:advectiveCFLcondition}
+\label{EQ:eg-bconv-advectiveCFLcondition}
%\delta t_u = \frac{\Delta x}{| \vec{u} \} = 50 s
\end{eqnarray}
@@ -669,7 +675,7 @@
\end{verbatim}
Sets the tolerance which the three-dimensional, conjugate
gradient solver will use to test for convergence in equation
-\ref{EQ:congrad_3d_resid} to $1 \times 10^{-9}$.
+\ref{EQ:eg-bconv-congrad_3d_resid} to $1 \times 10^{-9}$.
The solver will iterate until the
tolerance falls below this value or until the maximum number of
solver iterations is reached. Used in routine
@@ -801,7 +807,7 @@
\end{center}
\caption{
}
-\label{FIG:Qsurf}
+\label{FIG:eg-bconv-Qsurf}
\end{figure}
\subsection{Running the example}
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