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A estimate of the rate of entropy dissipation of high resolution MUSCL type Godunov schemes
Tang, HZ; Zhao, N
1999-07-01
发表期刊JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN0254-9409
卷号17期号:4页码:369-378
摘要In this paper, following the paper [7], we analysis the "sharp" estimate of the rate of entropy dissipation of the fully discrete MUSCL type Godunov schemes by the general compact theory introduced by Coquel-LeFloch [1, 2], and find: because of small viscosity of the above schemes, in the vincity of shock wave, the estimate of the above schemes is more easily obtained, but for rarefaction wave, we must impose a "sharp" condition on limiter function in order to keep its entropy dissipation and its convergence.
关键词hyperbolic conservation laws MUSCL type Godunov schemes entropy dissipation shock wave rarefaction wave
语种英语
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000081537100003
出版者VSP BV
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/14724
专题中国科学院数学与系统科学研究院
作者单位1.Chinese Acad Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Nanjing Univ Aeronaut & Astronaut, Dept Aerodynam, Nanjing 210016, Peoples R China
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Tang, HZ,Zhao, N. A estimate of the rate of entropy dissipation of high resolution MUSCL type Godunov schemes[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,1999,17(4):369-378.
APA Tang, HZ,&Zhao, N.(1999).A estimate of the rate of entropy dissipation of high resolution MUSCL type Godunov schemes.JOURNAL OF COMPUTATIONAL MATHEMATICS,17(4),369-378.
MLA Tang, HZ,et al."A estimate of the rate of entropy dissipation of high resolution MUSCL type Godunov schemes".JOURNAL OF COMPUTATIONAL MATHEMATICS 17.4(1999):369-378.
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