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

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	Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities, II
	He ZW; Zhang YS; Li XL(李新亮); Tian BL
刊名	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
	2016-02-20
通讯作者邮箱	tian_baolin@iapcm.ac.cn
卷号	80 期号:5 页码:306-316
关键词	contact discontinuity material interface finite difference method flux vector splitting local characteristic decomposition equation of state WENO
ISSN号	0271-2091
通讯作者	Tian, BL (reprint author), Inst Appl Phys & Computat Math, 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] Chinese Acad Sci, Inst Mech, LHD, Beijing 100190, Peoples R China
中文摘要	Problems in the characteristic-wise flux-split based finite difference method when compressible flows with contact discontinuities or material interfaces are computed were presented and analyzed. The current analysis showed the following: (i) Even with the local characteristic decomposition technique, numerical errors could be caused by point-wise flux vector splitting (FVS) methods, such as the Steger-Warming FVS or the van Leer FVS. Therefore, the Lax-Friedrichs type FVS method is required. (ii) If the isobars of a material are vertical lines, the combination of using the local characteristic decomposition and the global Lax-Friedrichs FVS can avoid velocity and pressure oscillations of contact discontinuities in this material for weighted essentially non-oscillatory (WENO) schemes. (iii) For problems with material interfaces, the quasi-conservative approach can be realized using characteristic-wise flux-split based finite difference WENO schemes if nonlinear WENO schemes in genuinely nonlinear characteristic fields can be guaranteed to be the same and the decomposition equation representing material interfaces is discretized properly. Copyright (c) 2015 John Wiley & Sons, Ltd.
分类号	Q3
类目[WOS]	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
研究领域[WOS]	Computer Science ; Mathematics ; Mechanics ; Physics
关键词[WOS]	ESSENTIALLY NONOSCILLATORY SCHEMES ; MIXTURE TYPE ALGORITHM ; MULTICOMPONENT FLOW ; WENO SCHEMES ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; CONTACT DISCONTINUITIES ; MULTIMATERIAL FLOWS ; CAPTURING SCHEMES ; STATE
收录类别	SCI ; EI
原文出处	http://dx.doi.org/10.1002/fld.4080
语种	英语
WOS记录号	WOS:000368944500002
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/58635]
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, II[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2016,80(5):306-316.
APA	He ZW,Zhang YS,李新亮,&Tian BL.(2016).Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities, II.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,80(5),306-316.
MLA	He ZW,et al."Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities, II".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 80.5(2016):306-316.