Name
Title | ||
|---|---|---|
High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems |
Abstract | ||
|---|---|---|
This paper is concerned with the development of high order methods for the numerical approximation of one-dimensional nonconservative hyperbolic systems. In particular, we are interested in high order extensions of the generalized Roe methods introduced by I. Toumi in 1992, based on WENO reconstruction of states. We also investigate the well-balanced properties of the resulting schemes. Finally, we will focus on applications to shallow-water systems. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1090/S0025-5718-06-01851-5 | MATHEMATICS OF COMPUTATION |
Keywords | Field | DocType |
hyperbolic systems,nonconservative products,well-balanced schemes,Roe methods,high order schemes,weighted ENO,shallow-water systems | Waves and shallow water,Mathematical analysis,Hyperbolic systems,Numerical approximation,Numerical analysis,Finite volume method,Mathematics | Journal |
Volume | Issue | ISSN |
75 | 255 | 0025-5718 |
Citations | PageRank | References |
62 | 5.77 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manuel J. Castro | 1 | 202 | 21.36 |
| José M. Gallardo | 2 | 126 | 13.35 |
| Carlos Parés | 3 | 353 | 35.30 |