| 10 |
terms are described first, afterwards the schemes that apply to |
terms are described first, afterwards the schemes that apply to |
| 11 |
passive and dynamically active tracers are described. |
passive and dynamically active tracers are described. |
| 12 |
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| 13 |
|
\input{part2/notation} |
| 14 |
|
|
| 15 |
\section{Time-stepping} |
\section{Time-stepping} |
| 16 |
\begin{rawhtml} |
\begin{rawhtml} |
| 609 |
(\theta^*,S^*) & = & (\theta^{n},S^{n}) + \Delta t G_{\theta,S}^{(n+1/2)} |
(\theta^*,S^*) & = & (\theta^{n},S^{n}) + \Delta t G_{\theta,S}^{(n+1/2)} |
| 610 |
\label{eq:tstar-staggered} \\ |
\label{eq:tstar-staggered} \\ |
| 611 |
(\theta^{n+1},S^{n+1}) & = & {\cal L}^{-1}_{\theta,S} (\theta^*,S^*) |
(\theta^{n+1},S^{n+1}) & = & {\cal L}^{-1}_{\theta,S} (\theta^*,S^*) |
| 612 |
\label{eq:t-n+1-staggered} \\ |
\label{eq:t-n+1-staggered} |
| 613 |
\end{eqnarray} |
\end{eqnarray} |
| 614 |
The corresponding calling tree is given in |
The corresponding calling tree is given in |
| 615 |
\ref{fig:call-tree-adams-bashforth-staggered}. |
\ref{fig:call-tree-adams-bashforth-staggered}. |
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