| 67 |
\subsection{C grid staggering of variables} |
\subsection{C grid staggering of variables} |
| 68 |
|
|
| 69 |
\begin{figure} |
\begin{figure} |
| 70 |
\centerline{ \resizebox{!}{2in}{ \includegraphics{part2/cgrid3d.eps}} } |
\begin{center} |
| 71 |
|
\resizebox{!}{2in}{ \includegraphics{part2/cgrid3d.eps}} |
| 72 |
|
\end{center} |
| 73 |
\caption{Three dimensional staggering of velocity components. This |
\caption{Three dimensional staggering of velocity components. This |
| 74 |
facilitates the natural discretization of the continuity and tracer |
facilitates the natural discretization of the continuity and tracer |
| 75 |
equations. } |
equations. } |
| 117 |
\subsection{Horizontal grid} |
\subsection{Horizontal grid} |
| 118 |
|
|
| 119 |
\begin{figure} |
\begin{figure} |
| 120 |
\centerline{ \begin{tabular}{cc} |
\begin{center} |
| 121 |
|
\begin{tabular}{cc} |
| 122 |
\raisebox{1.5in}{a)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Ac.eps}} |
\raisebox{1.5in}{a)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Ac.eps}} |
| 123 |
& \raisebox{1.5in}{b)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Az.eps}} |
& \raisebox{1.5in}{b)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Az.eps}} |
| 124 |
\\ |
\\ |
| 125 |
\raisebox{1.5in}{c)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Au.eps}} |
\raisebox{1.5in}{c)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Au.eps}} |
| 126 |
& \raisebox{1.5in}{d)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Av.eps}} |
& \raisebox{1.5in}{d)}\resizebox{!}{2in}{ \includegraphics{part2/hgrid-Av.eps}} |
| 127 |
\end{tabular} } |
\end{tabular} |
| 128 |
|
\end{center} |
| 129 |
\caption{ |
\caption{ |
| 130 |
Staggering of horizontal grid descriptors (lengths and areas). The |
Staggering of horizontal grid descriptors (lengths and areas). The |
| 131 |
grid lines indicate the tracer cell boundaries and are the reference |
grid lines indicate the tracer cell boundaries and are the reference |
| 317 |
\subsection{Vertical grid} |
\subsection{Vertical grid} |
| 318 |
|
|
| 319 |
\begin{figure} |
\begin{figure} |
| 320 |
\centerline{ \begin{tabular}{cc} |
\begin{center} |
| 321 |
|
\begin{tabular}{cc} |
| 322 |
\raisebox{4in}{a)} \resizebox{!}{4in}{ |
\raisebox{4in}{a)} \resizebox{!}{4in}{ |
| 323 |
\includegraphics{part2/vgrid-cellcentered.eps}} & \raisebox{4in}{b)} |
\includegraphics{part2/vgrid-cellcentered.eps}} & \raisebox{4in}{b)} |
| 324 |
\resizebox{!}{4in}{ \includegraphics{part2/vgrid-accurate.eps}} |
\resizebox{!}{4in}{ \includegraphics{part2/vgrid-accurate.eps}} |
| 325 |
\end{tabular} } |
\end{tabular} |
| 326 |
|
\end{center} |
| 327 |
\caption{Two versions of the vertical grid. a) The cell centered |
\caption{Two versions of the vertical grid. a) The cell centered |
| 328 |
approach where the interface depths are specified and the tracer |
approach where the interface depths are specified and the tracer |
| 329 |
points centered in between the interfaces. b) The interface centered |
points centered in between the interfaces. b) The interface centered |
| 388 |
\subsection{Topography: partially filled cells} |
\subsection{Topography: partially filled cells} |
| 389 |
|
|
| 390 |
\begin{figure} |
\begin{figure} |
| 391 |
\centerline{ |
\begin{center} |
| 392 |
\resizebox{4.5in}{!}{\includegraphics{part2/vgrid-xz.eps}} |
\resizebox{4.5in}{!}{\includegraphics{part2/vgrid-xz.eps}} |
| 393 |
} |
\end{center} |
| 394 |
\caption{ |
\caption{ |
| 395 |
A schematic of the x-r plane showing the location of the |
A schematic of the x-r plane showing the location of the |
| 396 |
non-dimensional fractions $h_c$ and $h_w$. The physical thickness of a |
non-dimensional fractions $h_c$ and $h_w$. The physical thickness of a |
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