Changeset 4404


Ignore:
Timestamp:
Apr 19, 2007, 2:03:55 PM (17 years ago)
Author:
ole
Message:

typo

File:
1 edited

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  • anuga_core/documentation/user_manual/anuga_user_manual.tex

    r4377 r4404  
    29822982  vertex is at least as far away from the bed than the shallow water
    29832983  (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 $\alpha$.
    29852985
    29862986  E.g.\ $\alpha=1$ reduces Equation \ref{eq:limiter bound} to
     
    29952995  \item $\bar{h_i} > \tilde{h_i}$: In this case the the deep water vertex is
    29962996  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.
    29982998  Rearranging Equation \ref{eq:limiter bound} and solving for $\alpha$ one
    29992999  obtains the bound
     
    30103010which will guarantee that no vertex 'cuts' through the bed. Finally, should
    30113011$\bar{h_i} < \epsilon$ 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.
    30133013
    30143014%Furthermore,
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