On the central relaxing schemes I: Single conservation laws
文献类型:期刊论文
作者 | Tang, HZ |
刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
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出版日期 | 2000-05-01 |
卷号 | 18期号:3页码:313-324 |
关键词 | hyperbolic conservation laws the relaxing scheme TVD cell entropy inequality |
ISSN号 | 0254-9409 |
英文摘要 | In this first paper we present a central relaxing scheme for scalar conservation laws, based on using the local relaxation approximation. Our scheme is obtained without using Linear or nonlinear Riemann solvers. A cell entropy inequality is studied for the semidiscrete central relaxing scheme, and a second order MUSCL scheme is shown to be TVD in the zero relaxation limit. The next paper will extend the central relaxing scheme to multi-dimensional systems of conservation laws in curvilinear coordinates, including numerical experiments for 1D and 2D problems. |
语种 | 英语 |
WOS记录号 | WOS:000088027900009 |
出版者 | VSP BV |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15334] ![]() |
专题 | 中国科学院数学与系统科学研究院 |
作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China |
推荐引用方式 GB/T 7714 | Tang, HZ. On the central relaxing schemes I: Single conservation laws[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2000,18(3):313-324. |
APA | Tang, HZ.(2000).On the central relaxing schemes I: Single conservation laws.JOURNAL OF COMPUTATIONAL MATHEMATICS,18(3),313-324. |
MLA | Tang, HZ."On the central relaxing schemes I: Single conservation laws".JOURNAL OF COMPUTATIONAL MATHEMATICS 18.3(2000):313-324. |
入库方式: OAI收割
来源:数学与系统科学研究院
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