Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357959 | Journal of Computational Physics | 2005 | 23 Pages |
Abstract
We consider the solution of the Saint-Venant equations with topographic source terms on 2D unstructured meshes by a finite volume approach. We first present a stable and positivity preserving homogeneous solver issued from a kinetic representation of the hyperbolic conservation laws system. This water depth positivity property is important when dealing with wet-dry interfaces. Then, we introduce a local hydrostatic reconstruction that preserves the positivity properties of the homogeneous solver and leads to a well-balanced scheme satisfying the steady-state condition of still water. Finally, a formally second-order extension based on limited reconstructed values on both sides of each interface and on an enriched interpretation of the source terms satisfies the same properties and gives a noticeable accuracy improvement. Numerical examples on academic and real problems are presented.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Emmanuel Audusse, Marie-Odile Bristeau,