Semidiscrete central-upwind scheme for conservation laws with a discontinuous flux function in space

被引：6

作者：

Wang, Guodong ^{[1
]}

Ge, Cishui ^{[1
]}

机构：

[1] Anhui Univ Architecture, Dept Math & Phys, Hefei 230601, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 17期

关键词：

Conservation laws; Discontinuous flux; Semidiscrete central-upwind scheme; Phase transition; Stationary discontinuity; POINT-SOURCE; CONVERGENCE; COEFFICIENTS;

D O I：

10.1016/j.amc.2010.12.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a modified semidiscrete central-upwind scheme is derived for the scalar conservation laws with a discontinuous flux function in space. The new scheme is based on dealing with the phase transition at the stationary discontinuity, where the unknown variable function is not continuous, but the flux function is continuous. The main advantages of the new scheme are the same as them of the original semidiscrete central-upwind scheme. Numerical results are displayed to illustrate the efficiency of the methods. (c) 2010 Elsevier Inc. All rights reserved.

引用

页码：7065 / 7073

页数：9

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