| 308 |
\vec{\bf v}^{*} & = & \vec{\bf v}^{n-1/2} + \Delta t \frac{dh^{n-1}}{dh^{n}} \left( |
\vec{\bf v}^{*} & = & \vec{\bf v}^{n-1/2} + \Delta t \frac{dh^{n-1}}{dh^{n}} \left( |
| 309 |
\vec{\bf G}_{\vec{\bf v}}^{(n)} + F_{\vec{\bf v}}^{n}/dh^{n-1} \right) |
\vec{\bf G}_{\vec{\bf v}}^{(n)} + F_{\vec{\bf v}}^{n}/dh^{n-1} \right) |
| 310 |
- \Delta t \nabla \phi_{hyd}^{n} |
- \Delta t \nabla \phi_{hyd}^{n} |
| 311 |
\label{eq:vstar-nlfs} \\ |
\label{eq:vstar-nlfs} |
| 312 |
\mathrm{update}\hspace{-4mm} & & \hspace{-4mm}\mathrm{ |
\end{eqnarray} |
| 313 |
model~geometry~:~{\bf hFac}}(dh^n)\nonumber \\ |
\hspace{3cm}$\longrightarrow$~~{\it update model~geometry~:~}${\bf hFac}(dh^n)$\\ |
| 314 |
|
\begin{eqnarray} |
| 315 |
\eta^{n+1/2} \hspace{-2mm} & = & |
\eta^{n+1/2} \hspace{-2mm} & = & |
| 316 |
\eta^{n-1/2} + \Delta t P^{n+1/2} - \Delta t |
\eta^{n-1/2} + \Delta t P^{n+1/2} - \Delta t |
| 317 |
\nabla \cdot \int \vec{\bf v}^{n+1/2} dh^{n} \nonumber \\ |
\nabla \cdot \int \vec{\bf v}^{n+1/2} dh^{n} \nonumber \\ |
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