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\subsection{Simulations of laboratory experiments} |
\subsection{Simulations of laboratory experiments} |
| 323 |
|
|
| 324 |
Figure \ref{fig:lab-simulation} shows MITgcm being used to simulate a |
Figure \ref{fig:lab-simulation} shows MITgcm being used to simulate a |
| 325 |
laboratory experiment inquiring in to the dynamics of the Antarctic Circumpolar Current (ACC). An |
laboratory experiment inquiring into the dynamics of the Antarctic Circumpolar Current (ACC). An |
| 326 |
initially homogeneous tank of water ($1m$ in diameter) is driven from its |
initially homogeneous tank of water ($1m$ in diameter) is driven from its |
| 327 |
free surface by a rotating heated disk. The combined action of mechanical |
free surface by a rotating heated disk. The combined action of mechanical |
| 328 |
and thermal forcing creates a lens of fluid which becomes baroclinically |
and thermal forcing creates a lens of fluid which becomes baroclinically |
| 346 |
and encoded. The model variables have different interpretations depending on |
and encoded. The model variables have different interpretations depending on |
| 347 |
whether the atmosphere or ocean is being studied. Thus, for example, the |
whether the atmosphere or ocean is being studied. Thus, for example, the |
| 348 |
vertical coordinate `$r$' is interpreted as pressure, $p$, if we are |
vertical coordinate `$r$' is interpreted as pressure, $p$, if we are |
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modeling the atmosphere (left hand side of figure \ref{fig:isomorphic-equations}) |
modeling the atmosphere (right hand side of figure \ref{fig:isomorphic-equations}) |
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and height, $z$, if we are modeling the ocean (right hand side of figure |
and height, $z$, if we are modeling the ocean (left hand side of figure |
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\ref{fig:isomorphic-equations}). |
\ref{fig:isomorphic-equations}). |
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|
|
| 353 |
%%CNHbegin |
%%CNHbegin |
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at fixed and moving $r$ surfaces we set (see figure \ref{fig:zandp-vert-coord}): |
at fixed and moving $r$ surfaces we set (see figure \ref{fig:zandp-vert-coord}): |
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|
|
| 473 |
\begin{equation} |
\begin{equation} |
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\dot{r}=0atr=R_{fixed}(x,y)\text{ (ocean bottom, top of the atmosphere)} |
\dot{r}=0 \text{\ at\ } r=R_{fixed}(x,y)\text{ (ocean bottom, top of the atmosphere)} |
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\label{eq:fixedbc} |
\label{eq:fixedbc} |
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\end{equation} |
\end{equation} |
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|
|
| 478 |
\begin{equation} |
\begin{equation} |
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\dot{r}=\frac{Dr}{Dt}atr=R_{moving}\text{ \ |
\dot{r}=\frac{Dr}{Dt} \text{\ at\ } r=R_{moving}\text{ \ |
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(ocean surface,bottom of the atmosphere)} \label{eq:movingbc} |
(ocean surface,bottom of the atmosphere)} \label{eq:movingbc} |
| 481 |
\end{equation} |
\end{equation} |
| 482 |
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