A kinematic wave model for rivers with flood plains and other irregular geometries. (English) Zbl 0880.76009
Summary: A general kinematic wave model for flood propagation is presented in the form of a scalar conservation law. The corresponding flux function is convex or nearly convex for regular cross-sections of the river. In the presence of pronounced irregularities, however, convexity may fail. Qualitative influence of on the shape of the flux function an typical irregularities is discussed, particularly for rivers with flood plains and rivers trapped in canyons.
MSC:
| 76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
| 86A05 | Hydrology, hydrography, oceanography |
References:
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