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representation of the position of the boundary. We treat the |
representation of the position of the boundary. We treat the |
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horizontal and vertical directions as separable and differently. |
horizontal and vertical directions as separable and differently. |
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\input{part2/notation} |
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\subsection{The finite volume method: finite volumes versus finite difference} |
\subsection{The finite volume method: finite volumes versus finite difference} |
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\begin{rawhtml} |
\begin{rawhtml} |
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grid for all panels. a) The area of a tracer cell, $A_c$, is bordered |
grid for all panels. a) The area of a tracer cell, $A_c$, is bordered |
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by the lengths $\Delta x_g$ and $\Delta y_g$. b) The area of a |
by the lengths $\Delta x_g$ and $\Delta y_g$. b) The area of a |
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vorticity cell, $A_\zeta$, is bordered by the lengths $\Delta x_c$ and |
vorticity cell, $A_\zeta$, is bordered by the lengths $\Delta x_c$ and |
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$\Delta y_c$. c) The area of a u cell, $A_c$, is bordered by the |
$\Delta y_c$. c) The area of a u cell, $A_w$, is bordered by the |
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lengths $\Delta x_v$ and $\Delta y_f$. d) The area of a v cell, $A_c$, |
lengths $\Delta x_v$ and $\Delta y_f$. d) The area of a v cell, $A_s$, |
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is bordered by the lengths $\Delta x_f$ and $\Delta y_u$.} |
is bordered by the lengths $\Delta x_f$ and $\Delta y_u$.} |
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\label{fig:hgrid} |
\label{fig:hgrid} |
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\end{figure} |
\end{figure} |