Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities

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	Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities
	He ZW; Zhang YS; Li XL(李新亮); Li L; Tian BL
刊名	JOURNAL OF COMPUTATIONAL PHYSICS
	2015-11-01
通讯作者邮箱	tian_baolin@iapcm.ac.cn
卷号	300 页码:269-287
关键词	Compressible flows Contact discontinuity Material interface Numerical oscillations Finite difference method Flux vector splitting WENO
ISSN号	0021-9991
通讯作者	Tian, BL (reprint author), Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China.
产权排序	[He, Zhiwei; Zhang, Yousheng; Tian, Baolin] Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China; [Li, Xinliang; Li, Li] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China
中文摘要	In simulating compressible flows with contact discontinuities or material interfaces, numerical pressure and velocity oscillations can be induced by point-wise flux vector splitting (FVS) or component-wise nonlinear difference discretization of convection terms. The current analysis showed that the oscillations are due to the incompatibility of the point-wise splitting of eigenvalues in FVS and the inconsistency of component-wise nonlinear difference discretization among equations of mass, momentum, energy, and even fluid composition for multi-material flows. Two practical principles are proposed to prevent these oscillations: (i) convective fluxes must be split by a global FVS, such as the global Lax-Friedrichs FVS, and (ii) consistent discretization between different equations must be guaranteed. The latter, however, is not compatible with component-wise nonlinear difference discretization. Therefore, a consistent discretization method that uses only one set of common weights is proposed for nonlinear weighted essentially non-oscillatory (WENO) schemes. One possible procedure to determine the common weights is presented that provided good results. The analysis and methods stated above are appropriate for both single- (e.g., contact discontinuity) and multi-material (e.g., material interface) discontinuities. For the latter, however, the additional fluid composition equation should be split and discretized consistently for compatibility with the other equations. Numerical tests including several contact discontinuities and multi-material flows confirmed the effectiveness, robustness, and low computation cost of the proposed method. (C) 2015 Elsevier Inc. All rights reserved.
分类号	一类
类目[WOS]	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
研究领域[WOS]	Computer Science ; Physics
关键词[WOS]	ESSENTIALLY NONOSCILLATORY SCHEMES ; RICHTMYER-MESHKOV INSTABILITY ; SHOCK-CAPTURING SCHEMES ; MIXTURE TYPE ALGORITHM ; GODUNOV-TYPE SCHEMES ; MULTICOMPONENT FLOW ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; CONTACT DISCONTINUITIES ; MULTIMATERIAL FLOWS
收录类别	SCI
原文出处	http://dx.doi.org/10.1016/j.jcp.2015.07.049
语种	英语
WOS记录号	WOS:000361573200015
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/58415]
专题	力学研究所_高温气体动力学国家重点实验室
推荐引用方式 GB/T 7714	He ZW,Zhang YS,Li XL,et al. Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2015,300:269-287.
APA	He ZW,Zhang YS,李新亮,Li L,&Tian BL.(2015).Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities.JOURNAL OF COMPUTATIONAL PHYSICS,300,269-287.
MLA	He ZW,et al."Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities".JOURNAL OF COMPUTATIONAL PHYSICS 300(2015):269-287.