On the central relaxing schemes I: Single conservation laws

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	On the central relaxing schemes I: Single conservation laws
	Tang, HZ
	2000-05-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	18 期号:3 页码:313-324
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.
关键词	hyperbolic conservation laws the relaxing scheme TVD cell entropy inequality
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000088027900009
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/15335
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.