TWO-LAYER SHALLOW WATER SYSTEM: A RELAXATION APPROACH

被引：108

作者：

Abgrall, Remi ^{[1
,2
]}

Karni, Smadar ^{[3
]}

机构：

[1] Univ Bordeaux, INRIA, F-33405 Talence, France

[2] Inst Univ France, Projet Scallaplix, F-33405 Talence, France

[3] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2009年 / 31卷 / 03期

关键词：

hyperbolic conservation laws; balance laws; shallow water equations; relaxation schemes; NONCONSERVATIVE HYPERBOLIC SYSTEMS; CONSERVATION-LAWS; SCHEMES; SOLVERS; MODEL;

D O I：

10.1137/06067167X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The two-layer shallow water system is an averaged flow model. It forms a nonconservative system which is only conditionally hyperbolic. The coupling between the layers, due to the hydrostatic pressure assumption, does not provide explicit access to the system eigenstructure, which is inconvenient for Riemann solution based numerical schemes. We consider a relaxation approach which offers greater decoupling and accessible eigenstructure. The stability of the model is discussed. Numerical results are shown for unsteady flows as well as for smooth and nonsmooth steady flows.

引用

页码：1603 / 1627

页数：25

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