Well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems.: Application to the dam break of Aznalcollar

被引：11

作者：

Castro Diaz, M. J. ^{[2
]}

Chacon Rebollo, T. ^{[3
]}

Fernandez-Nieto, E. D. ^{[1
]}

Gonzalez Vida, J. M. ^{[4
]}

Pares, C. ^{[2
]}

机构：

[1] U Sevilla, ETS Arquitectura, Dpto Matemat Aplicada 1, Seville 41012, Spain

[2] U Malaga, Dpto Anal Matemat, Malaga, Spain

[3] U Sevilla, Dpto Ecuaciones Diferenciales & Anal Numer, Seville 41080, Spain

[4] U Malaga, Dpto Matemat Aplicada, Malaga, Spain

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2008年 / 197卷 / 45-48期

关键词：

finite volume method; well-balanced; upwinding; shallow water; source terms;

D O I：

10.1016/j.cma.2008.03.026

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we introduce a class of well-balanced finite volume schemes for 2D non-homogeneous hyperbolic systems. We extend the derivation of standard finite volume solvers for homogeneous systems to non-homogeneous ones using the method of lines. We study conservation and some well-balanced properties of the numerical scheme. We apply our solvers to shallow water equations: we prove that these exactly compute the water at rest solutions. We also perform some numerical tests, by comparing with ID solutions, simulating the formation of a hydraulic drop and a hydraulic jump, and studying a real dam break: Aznalcollar, an ecological disaster happened in the province of Seville, Spain in 1998. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：3932 / 3950

页数：19

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