On entropy conditions of high resolution schemes for scalar conservation laws

被引：0
|
作者：
Zhao, N
Wu, HM
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Aerodynam, Nanjing 210016, Peoples R China
[2] Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL MATHEMATICS | 2001年 / 19卷 / 04期
关键词：
entropy condition; high resolution schemes; conservation laws;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a kind of quadratic cell entropy inequalities of second order resolution SOR-TVD schemes is obtained for scalar hyperbolic conservation laws with strictly convex (concave) fluxes, which in turn implies the convergence of the schemes to the physically relevent solution of the problem. The theoretical results obtained in this paper improve the main results of Osher and Tadmor [6].
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页码：371 / 384
页数：14
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