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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; Tian, BL (reprint author), Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100094, Peoples R China.
Source PublicationJOURNAL OF COMPUTATIONAL PHYSICS
2015-11-01
Volume300Pages:269-287
ISSN0021-9991
AbstractIn 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.
KeywordCompressible Flows Contact Discontinuity Material Interface Numerical Oscillations Finite Difference Method Flux Vector Splitting Weno
DOI10.1016/j.jcp.2015.07.049
URL查看原文
Indexed BySCI
Language英语
WOS IDWOS:000361573200015
WOS KeywordESSENTIALLY NONOSCILLATORY SCHEMES ; RICHTMYER-MESHKOV INSTABILITY ; SHOCK-CAPTURING SCHEMES ; MIXTURE TYPE ALGORITHM ; GODUNOV-TYPE SCHEMES ; MULTICOMPONENT FLOW ; HIGH-ORDER ; EFFICIENT IMPLEMENTATION ; CONTACT DISCONTINUITIES ; MULTIMATERIAL FLOWS
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
Funding OrganizationThis work was supported by CAEP under Grant No. 2012A020210, NSFC under Grant Nos. 11171037, 91130021, 11472059, 11372330, 11472278 and Key Lab Foundation under Grant No. 9140C690104150C69.
DepartmentLHD可压缩湍流
Classification一类
Citation statistics
Cited Times:12[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58415
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, Lab Computat Phys, 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[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2015,300:269-287.
APA He ZW,Zhang YS,李新亮,Li L,Tian BL,&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.
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