Preventing numerical oscillations in the flux-split based finite difference method for compressible flows with discontinuities, II
文献类型:期刊论文
作者 | He ZW![]() ![]() ![]() |
刊名 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
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出版日期 | 2016-02-20 |
卷号 | 80期号:5页码:306-316 |
通讯作者邮箱 | tian_baolin@iapcm.ac.cn |
关键词 | contact discontinuity material interface finite difference method flux vector splitting local characteristic decomposition equation of state WENO |
ISSN号 | 0271-2091 |
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 |
通讯作者 | Tian, BL (reprint author), Inst Appl Phys & Computat Math, Beijing 100094, 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 |
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. |
入库方式: OAI收割
来源:力学研究所
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