High Order Extensions of Roe Schemes for Two-Dimensional Nonconservative Hyperbolic Systems

被引：77

作者：

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

Fernandez-Nieto, E. D. ^{[2
]}

Ferreiro, A. M. ^{[3
]}

Garcia-Rodriguez, J. A. ^{[3
]}

Pares, C. ^{[1
]}

机构：

[1] Univ Malaga, Dpto Anal Matemat, Malaga 29080, Spain

[2] Univ Seville, Dpto Matemat Aplicada 1, E-41012 Seville, Spain

[3] Univ A Coruna, Dpto Matemat, La Coruna 15071, Spain

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2009年 / 39卷 / 01期

关键词：

Generalized Roe schemes; 2d Nonconservative hyperbolic systems; Nonconservative products; Finite volume schemes; Conservation laws; Source terms; Shallow water systems; Two-layer problems; Geophysical flows; FINITE-VOLUME SCHEMES; SHALLOW-WATER SYSTEMS; WELL-BALANCED SCHEME; CONSERVATION-LAWS; SOURCE TERMS; EQUATIONS; PRODUCTS; RECONSTRUCTION; PROPERTY; FLUXES;

D O I：

10.1007/s10915-008-9250-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the development of well-balanced high order Roe methods for two-dimensional nonconservative hyperbolic systems. In particular, we are interested in extending the methods introduced in (Castro et al., Math. Comput. 75:1103-1134, 2006) to the two-dimensional case. We also investigate the well-balance properties and the consistency of the resulting schemes. We focus in applications to one and two layer shallow water systems.

引用

页码：67 / 114

页数：48

共 32 条

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[2]

[Anonymous], 1989, 593 I MATH ITS APPL

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