| 3 |
|
|
| 4 |
\subsection{Notation} |
\subsection{Notation} |
| 5 |
|
|
| 6 |
The notations we use to discribe the discrete formulation |
The notations we use to describe the discrete formulation |
| 7 |
of the model are summarised hereafter:\\ |
of the model are summarized hereafter:\\ |
| 8 |
general notation: |
general notation: |
| 9 |
\\ $\Delta x, \Delta y, \Delta r$ grid spacing in X,Y,R directions. |
\\ $\Delta x, \Delta y, \Delta r$ grid spacing in X,Y,R directions. |
| 10 |
\\ $A_o$ : Area of the face orthogonal to "o" direction (o=u,v,w ...). |
\\ $A_o$ : Area of the face orthogonal to "o" direction (o=u,v,w ...). |
| 27 |
\frac{1}{\cal A} \{ \delta_i \Delta y \mathrm{f}_x |
\frac{1}{\cal A} \{ \delta_i \Delta y \mathrm{f}_x |
| 28 |
+ \delta_j \Delta x \mathrm{f}_y \} $ |
+ \delta_j \Delta x \mathrm{f}_y \} $ |
| 29 |
\label{eq:d_div} |
\label{eq:d_div} |
| 30 |
\\ $\overline{\nabla}^2 $ = Laplacien operator : |
\\ $\overline{\nabla}^2 $ = Laplacian operator : |
| 31 |
$ \overline{\nabla}^2 \Phi = |
$ \overline{\nabla}^2 \Phi = |
| 32 |
\overline{\nabla}\cdot \overline{\nabla}\Phi $ |
\overline{\nabla}\cdot \overline{\nabla}\Phi $ |
| 33 |
\label{eq:d_lap} |
\label{eq:d_lap} |
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