Changeset 4404
- Timestamp:
- Apr 19, 2007, 2:03:55 PM (18 years ago)
- File:
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- 1 edited
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anuga_core/documentation/user_manual/anuga_user_manual.tex
r4377 r4404 2982 2982 vertex is at least as far away from the bed than the shallow water 2983 2983 (limited using depth). In this case we won't need any contribution from 2984 $\bar{h_i}$ and can accept any $ alpha$.2984 $\bar{h_i}$ and can accept any $\alpha$. 2985 2985 2986 2986 E.g.\ $\alpha=1$ reduces Equation \ref{eq:limiter bound} to … … 2995 2995 \item $\bar{h_i} > \tilde{h_i}$: In this case the the deep water vertex is 2996 2996 closer to the bed than the shallow water vertex or even below the bed. 2997 In this case we need to find an $ alpha$ that will ensure a positive depth.2997 In this case we need to find an $\alpha$ that will ensure a positive depth. 2998 2998 Rearranging Equation \ref{eq:limiter bound} and solving for $\alpha$ one 2999 2999 obtains the bound … … 3010 3010 which will guarantee that no vertex 'cuts' through the bed. Finally, should 3011 3011 $\bar{h_i} < \epsilon$ and therefore $\alpha < 0$, we suggest setting 3012 $ alpha=0$ and similarly capping $\alpha$ at 1 just in case.3012 $\alpha=0$ and similarly capping $\alpha$ at 1 just in case. 3013 3013 3014 3014 %Furthermore,
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