CENTRAL SCHEMES FOR NONCONSERVATIVE HYPERBOLIC SYSTEMS

被引：23

作者：

Castro, M. J. ^{[1
]}

Pares, Carlos ^{[1
]}

Puppo, Gabriella ^{[2
]}

Russo, Giovanni ^{[3
]}

机构：

[1] Univ Malaga, E-29071 Malaga, Spain

[2] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

[3] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2012年 / 34卷 / 05期

关键词：

nonconservative hyperbolic systems; central schemes; well-balanced schemes; high order accuracy; Runge Kutta methods; SHALLOW-WATER EQUATIONS; FINITE-VOLUME SCHEMES; HIGH-ORDER EXTENSIONS; EFFICIENT IMPLEMENTATION; WENO SCHEMES; RECONSTRUCTION; ERROR;

D O I：

10.1137/110828873

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：B523 / B558

页数：36

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