An Adaptive Nine-Point Finite Volume Roe Scheme for Two-Dimensional Saint-Venant Equations

by Fayssal Benkhaldoun, LMI, INSA, Mont-Saint-Aignan, France,
Luc Monthe, LMI, INSA, Mont-Saint-Aignan, France,



Document Type: Proceeding Paper

Part of: Modelling of Flood Propagation Over Initially Dry Areas

Abstract:

The system of Saint Venant equations is considered numerically. A Roe approximate solver coupled to a nine-point finite volume spatial discretization is introduced at the same time as a mesh adaptation procedure. The successful simulation of a dam breaking proves the robustness of the scheme.

Subject Headings: Finite volume method | Adaptive systems | Two-dimensional models | Finite element method | Numerical methods | Numerical models | Approximation methods | Dam failures

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