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

doi:10.1002/fld.4080

	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; Tian, BL (reprint author), Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China.
发表期刊	INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
	2016-02-20
卷号	80 期号:5 页码:306-316
ISSN	0271-2091
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.
关键词	Contact Discontinuity Material Interface Finite Difference Method Flux Vector Splitting Local Characteristic Decomposition Equation Of State Weno
DOI	10.1002/fld.4080
URL	查看原文
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000368944500002
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
WOS研究方向	Computer Science ; Mathematics ; Mechanics ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
项目资助者	This work was supported by the CAEP under Grant 2012A020210, NSFC under Grants 11171037, 91130021, 11472059, 11372330, 11472278, and Key Lab Foundation under Grant 9140C690104150C69.
课题组名称	LHD可压缩湍流
论文分区	Q3
引用统计	被引频次：6[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/311007/58635
专题	高温气体动力学国家重点实验室
通讯作者	Tian, BL (reprint author), Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China.
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,&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.

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