Name
Title | ||
|---|---|---|
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas |
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1016/j.jcp.2007.08.007 | J. Comput. Physics |
Keywords | Field | DocType |
high-order schemes,well-balanced high-order finite volume,bottom topography,nonconservative products,roe methods,following property,shallow water systems,shallow water equation,wet/dry fronts,dry front,65m06,dry area,finite volume scheme,76m12,smooth wet region,35l65,hyperbolic reconstruction,corresponding intercells,76b15,well-balanced schemes,general nonconservative framework,hyperbolic systems,riemann problem,shallow water,source term | Nonlinear system,Mathematical analysis,Water well,Depth function,Riemann hypothesis,Geometry,Numerical analysis,Finite volume method,Shallow water equations,Riemann problem,Mathematics | Journal |
Volume | Issue | ISSN |
227 | 1 | Journal of Computational Physics |
Citations | PageRank | References |
34 | 2.21 | 11 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| José M. Gallardo | 1 | 126 | 13.35 |
| Carlos Parés | 2 | 353 | 35.30 |
| Manuel Castro | 3 | 45 | 6.05 |