On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas

✍ Scribed by José M. Gallardo; Carlos Parés; Manuel Castro

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 830 KB
• Volume: 227
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1016/j.jcp.2007.08.007

✦ Synopsis

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 scheme is developed within a general nonconservative framework, and it is based on hyperbolic reconstructions of states. The treatment of wet/dry fronts is carried out by solving specific nonlinear Riemann problems at the corresponding intercells.