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A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows

✍ Scribed by Audusse, Emmanuel; Bouchut, François; Bristeau, Marie-Odile; Klein, Rupert; Perthame, Benoı⁁t

Book ID
118190521
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
386 KB
Volume
25
Category
Article
ISSN
1064-8275

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On a well-balanced high-order finite vol
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
✍ José M. Gallardo; Carlos Parés; Manuel Castro 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 830 KB

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