Name
Abstract | ||
|---|---|---|
In this work we present a new approach to the construction of high order finite volume central schemes on staggered grids for general hyperbolic systems, including those not admitting a conservation form. The method is based on finite volume space discretization on staggered cells, central Runge-Kutta time discretization, and integration over a family of paths, associated to the system itself, for the generalization of the method to nonconservative systems. Applications to the one- and two-layer shallow water models as prototypes of systems of balance laws and systems with source terms and nonconservative products, respectively, will be illustrated. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1137/110828873 | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
Keywords | Field | DocType |
nonconservative hyperbolic systems,central schemes,well-balanced schemes,high order accuracy,Runge Kutta methods | Discretization,Runge–Kutta methods,Mathematical optimization,Mathematical analysis,Hyperbolic systems,Finite volume method,Mathematics,Conservation form | Journal |
Volume | Issue | ISSN |
34 | 5 | 1064-8275 |
Citations | PageRank | References |
1 | 0.36 | 14 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Manuel J. Castro | 1 | 202 | 21.36 |
| Carlos Parés | 2 | 353 | 35.30 |
| Gabriella Puppo | 3 | 282 | 51.53 |
| Giovanni Russo | 4 | 110 | 18.97 |