# Changeset 4404

Ignore:
Timestamp:
Apr 19, 2007, 2:03:55 PM (16 years ago)
Message:

typo

File:
1 edited

### Legend:

Unmodified
 r4377 vertex is at least as far away from the bed than the shallow water (limited using depth). In this case we won't need any contribution from $\bar{h_i}$ and can accept any $alpha$. $\bar{h_i}$ and can accept any $\alpha$. E.g.\ $\alpha=1$ reduces Equation \ref{eq:limiter bound} to \item $\bar{h_i} > \tilde{h_i}$: In this case the the deep water vertex is closer to the bed than the shallow water vertex or even below the bed. In this case we need to find an $alpha$ that will ensure a positive depth. In this case we need to find an $\alpha$ that will ensure a positive depth. Rearranging Equation \ref{eq:limiter bound} and solving for $\alpha$ one obtains the bound which will guarantee that no vertex 'cuts' through the bed. Finally, should $\bar{h_i} < \epsilon$ and therefore $\alpha < 0$, we suggest setting $alpha=0$ and similarly capping $\alpha$ at 1 just in case. $\alpha=0$ and similarly capping $\alpha$ at 1 just in case. %Furthermore,