A difference scheme for conservation laws with a discontinuous flux: The nonconvex case

被引：86
|
作者：
Towers, JD [1 ]
机构：
[1] MiraCosta Coll, Dept Math, Cardiff By The Sea, CA 92007 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2001年 / 39卷 / 04期
关键词：
conservation laws; difference approximations; discontinuous coefficients; nonconvex; source terms;
D O I：
10.1137/S0036142900374974
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In a previous work by the author, convergence was established for a simple difference scheme approximating a scalar conservation law, where the flux was concave and had a discontinuous spatially varying coefficient [J. D. Towers, SIAM J. Numer. Anal., 38 (2000), pp. 681-698]. The main result of this paper is an extension of that convergence theorem to the situation where the flux may have any finite umber of critical points. Additionally, spatially varying source terms are allowed. The spatially varying numerical flux is also shown to satisfy maximum and minimum principles and to be total variation decreasing (TVD) in time.
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页码：1197 / 1218
页数：22
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