A Positive Preserving High Order VFRoe Scheme for Shallow Water Equations: A Class of Relaxation Schemes
β Scribed by Berthon, Christophe; Marche, Fabien
- Book ID
- 118191922
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2008
- Tongue
- English
- Weight
- 833 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1064-8275
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π SIMILAR VOLUMES
We present a finite volume scheme for solving shallow water equations with source term due to the bottom topography. The scheme has the following properties: it is high-order accurate in smooth wet regions, it correctly solves situations where dry areas are present, and it is well-balanced. The sche
We present a class of asymptotic-preserving (AP) schemes for the nonhomogeneous Fokker-Planck-Landau (nFPL) equation. Filbet and Jin [16] designed a class of AP schemes for the classical Boltzmann equation, by penalization with the BGK operator, so they become efficient in the fluid dynamic regime.
Numerical results are presented and compared for four conservative upwind difference schemes for the shallow water equations when applied to a standard test problem This includes consideration of the effect of treating part of the flux balance as a source, and a comparison of square-root and arithme