High-Resolution Finite Compact Difference Schemes for Hyperbolic Conservation Laws

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	High-Resolution Finite Compact Difference Schemes for Hyperbolic Conservation Laws
	Shen YQ(申义庆); Yang GW(杨国伟); Gao Z(高智)
刊名	Journal of Computational Physics
	2006
通讯作者邮箱	yqshen@imech.ac.cn
卷号	216 期号:1 页码:114-137
ISSN号	0021-9991
通讯作者	Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, LHD, 15 Beisihuanxi Rd, Beijing 100080, Peoples R China.
中文摘要	A finite compact (FC) difference scheme requiring only bi-diagonal matrix inversion is proposed by using the known high-resolution flux. Introducing TVD or ENO limiters in the numerical flux, several high-resolution FC-schemes of hyperbolic conservation law are developed, including the FC-TVD, third-order FC-ENO and fifth-order FC-ENO schemes. Boundary conditions formulated need only one unknown variable for third-order FC-ENO scheme and two unknown variables for fifth-order FC-ENO scheme. Numerical test results of the proposed FC-scheme were compared with traditional TVD, ENO and WENO schemes to demonstrate its high-order accuracy and high-resolution.
学科主题	力学
类目[WOS]	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
研究领域[WOS]	Computer Science ; Physics
关键词[WOS]	SHOCK-CAPTURING SCHEMES ; EFFICIENT IMPLEMENTATION ; TURBULENCE INTERACTION ; EQUATIONS
收录类别	SCI
语种	英语
WOS记录号	WOS:000237911000007
公开日期	2007-06-15 ; 2007-12-05 ; 2009-06-23
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/16315]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Shen YQ,Yang GW,Gao Z. High-Resolution Finite Compact Difference Schemes for Hyperbolic Conservation Laws[J]. Journal of Computational Physics,2006,216(1):114-137.
APA	申义庆,杨国伟,&高智.(2006).High-Resolution Finite Compact Difference Schemes for Hyperbolic Conservation Laws.Journal of Computational Physics,216(1),114-137.
MLA	申义庆,et al."High-Resolution Finite Compact Difference Schemes for Hyperbolic Conservation Laws".Journal of Computational Physics 216.1(2006):114-137.