Well-balanced finite volume evolution Galerkin methods for the shallow water equations with source terms

被引：10

作者：

Lukácová-Medvid'ová, M ^{[1
]}

Vlk, Z ^{[1
]}

机构：

[1] Tech Univ Hamburg, Arbeitsbereich Math, D-2100 Hamburg, Germany

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS | 2005年 / 47卷 / 10-11期

关键词：

well-balanced methods; finite-volume evolution Galerkin schemes; shallow water equations; truly multi-dimensional finite-volume methods;

D O I：

10.1002/fld.855

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 paper is to present a new well-balanced genuinely multi-dimensional high-resolution finite volume evolution Galerkin method for systems of balance laws. The derivation of the method will be illustrated for the shallow water equation with geometrical source term modelling the bottom topography. The results can be generalized to more complex systems of balance laws. Copyright (c) 2005 John Wiley & Sons, Ltd.

引用

页码：1165 / 1171

页数：7

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