On dispersion-controlled principles for non-oscillatory shock-capturing schemes

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	On dispersion-controlled principles for non-oscillatory shock-capturing schemes
	Jiang ZL(姜宗林); Jiang, ZL (reprint author), Chinese Acad Sci, Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100080, Peoples R China.
发表期刊	Acta Mechanica Sinica
	2004
卷号	20 期号:1 页码:1-15
ISSN	0567-7718
摘要	The role of dispersions in the numerical solutions of hydrodynamic equation systems has been realized for long time. It is only during the last two decades that extensive studies on the dispersion-controlled dissipative (DCD) schemes were reported. The studies have demonstrated that this kind of the schemes is distinct from conventional dissipation-based schemes in which the dispersion term of the modified equation is not considered in scheme construction to avoid nonphysical oscillation occurring in shock wave simulations. The principle of the dispersion controlled aims at removing nonphysical oscillations by making use of dispersion characteristics instead of adding artificial viscosity to dissipate the oscillation as the conventional schemes do. Research progresses on the dispersion controlled principles are reviewed in this paper, including the exploration of the role of dispersions in numerical simulations, the development of the dispersion-controlled principles, efforts devoted to high-order dispersion-controlled dissipative schemes, the extension to both the finite volume and the finite element methods, scheme verification and solution validation, and comments on several aspects of the schemes from author's viewpoint.
关键词	Dcd Schemes Stability Conditions Numerical Methods Cfd Validation Finite-difference Methods Cfd Validation
收录类别	SCI ; EI ; CSCD
语种	英语
WOS记录号	WOS:000220202200001
关键词[WOS]	FINITE-DIFFERENCE METHODS ; CFD ; VALIDATION
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
引用统计	被引频次：68[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/33813
专题	力学所知识产出(1956-2008)
通讯作者	Jiang, ZL (reprint author), Chinese Acad Sci, Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Jiang ZL,Jiang, ZL . On dispersion-controlled principles for non-oscillatory shock-capturing schemes[J]. Acta Mechanica Sinica,2004,20,1,:1-15.
APA	姜宗林,&Jiang, ZL .(2004).On dispersion-controlled principles for non-oscillatory shock-capturing schemes.Acta Mechanica Sinica,20(1),1-15.
MLA	姜宗林,et al."On dispersion-controlled principles for non-oscillatory shock-capturing schemes".Acta Mechanica Sinica 20.1(2004):1-15.

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