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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; Tian, BL (reprint author), Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China.
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2016-02-20
Volume80Issue:5Pages:306-316
ISSN0271-2091
AbstractProblems 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.
KeywordContact Discontinuity Material Interface Finite Difference Method Flux Vector Splitting Local Characteristic Decomposition Equation Of State Weno
DOI10.1002/fld.4080
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000368944500002
WOS KeywordESSENTIALLY NONOSCILLATORY SCHEMES ; MIXTURE TYPE ALGORITHM ; MULTICOMPONENT FLOW ; WENO SCHEMES ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; CONTACT DISCONTINUITIES ; MULTIMATERIAL FLOWS ; CAPTURING SCHEMES ; STATE
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
Funding OrganizationThis work was supported by the CAEP under Grant 2012A020210, NSFC under Grants 11171037, 91130021, 11472059, 11372330, 11472278, and Key Lab Foundation under Grant 9140C690104150C69.
DepartmentLHD可压缩湍流
ClassificationQ3
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58635
Collection高温气体动力学国家重点实验室
Corresponding AuthorTian, BL (reprint author), Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China.
Recommended Citation
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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