A WELL BALANCED FVM WITH SCALAR DIFFUSION TO HYPERBOLIC BALANCE LAWS

被引：0

作者：

Delgado, Antonio Dominguez ^{[1
]}

机构：

[1] Univ Seville, Dept Appl Math, Avda Reina Mercedes 2, E-41012 Seville, Spain

来源：

PROCEEDINGS OF THE 12TH WSEAS INTERNATIONAL CONFERENCE ON COMPUTERS , PTS 1-3: NEW ASPECTS OF COMPUTERS | 2008年

关键词：

Riemann Solvers; Balance Laws; Finite Volume Methods; Shallow Water Equations;

D O I：

暂无

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The goal of this work is to extend a finite volume method with scalar diffusion to hyperbolic system of balance laws. This is made by reformulating the numerical scheme by adding a diffusive term to the numerical discretization of the source term in such a way that the obtained scheme is well-balanced for a wide range of stationary solutions of any hyperbolic systems with source term. The scheme is applied to Shallow Water Equations and the exact well-balanced property is established for the stationary solution of water at rest. Finally, some numerical tests are presented that exhibit the good performances of the scheme.

引用

页码：341 / +

页数：3

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