Fully well-balanced, positive and simple approximate Riemann solver for shallow water equations

被引：10

作者：

Berthon, C. ^{[1
]}

Chalons, C. ^{[2
]}

Cornet, S. ^{[3
]}

Sperone, G. ^{[4
]}

机构：

[1] Univ Nantes, Lab Math Jean Leray, CNRS UMR 6629, 2 Rue Houssiniere,BP 92208, F-44322 Nantes, France

[2] Univ Versailles St Quentin En Yvelines, Lab Math Versailles, UMR 8100, UFR Sci, Batiment Fermat,45 Ave Etats Unis, F-78035 Versailles, France

[3] Ecole Cent Paris, F-92290 Chatenay Malabry, France

[4] Univ Chile, Dept Ingn Matemat, Beauchef 851, Santiago, Chile

来源：

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2016年 / 47卷 / 01期

关键词：

Shallow-water equations; steady states; finite volume schemes; well-balanced property; positive preserving scheme; DISCONTINUOUS GALERKIN METHODS; GODUNOV-TYPE SCHEMES; HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; RECONSTRUCTION;

D O I：

10.1007/s00574-016-0126-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The present work is focused on the numerical approximation of the shallow water equations. When studying this problem, one faces at least two important issues, namely the ability of the scheme to preserve the positiveness of the water depth, along with the ability to capture the stationary states.We propose here aGodunov-typemethod that fully satisfies the previous conditions, meaning that the method is in particular able to preserve the steady states with non-zero velocity.

引用

页码：117 / 130

页数：14

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