KMS Of Academy of mathematics and systems sciences, CAS
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
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ISSN | 0254-9409 |
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 |
推荐引用方式 GB/T 7714 | 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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