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Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow
Peng J(彭峻); Shen YQ(申义庆); Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
Source PublicationCOMPUTERS & FLUIDS
2015-07-22
Volume115Pages:2841-2849
ISSN0045-7930
Abstract

With shock capturing capability and spectral like resolution, weighted compact schemes are good choices for supersonic turbulent flow simulation. However, because of the implicit nature of compact schemes, accuracy decrease at one point would contaminate the overall solution. The recently proposed compact-reconstructed WENO (CRWENO) scheme (Ghosh and Baeder, 2012) is an efficient weighted compact scheme. Analysis shows that the accuracy of the CRWENO scheme is only second order for points near discontinuities. In this paper, a multi-step strategy is proposed to increase the accuracy of the CRWENO scheme near discontinuities. Instead of constructing the fifth order compact scheme directly from three third order compact schemes, two fourth order compact schemes are first constructed. The final fifth order scheme is then obtained by these two fourth order schemes. In this way, the accuracy of the CRWENO scheme is increased to third order for points near discontinuities. The dissipation and dispersion properties of the new scheme are analyzed by employing the modified wave number method. Several examples, including linear advection cases, three one-dimensional shock tube problems, two-dimensional isentropic vortex convection, double Mach reflection, and shock/mixing layer interaction problems, are considered to assess the present method. Numerical results show that the present multi-step CRWENO scheme has lower dissipation and higher resolution in both smooth and discontinuous regions compared with the original scheme. (C) 2015 Elsevier Ltd. All rights reserved.

KeywordNumerical Method Supersonic Compressible Flow Weighted Compact Scheme Multi-step Strategy
DOI10.1016/j.compfluid.2015.04.012
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000355773700019
WOS Research AreaComputer Science ; Mechanics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mechanics
Funding OrganizationThis research work was supported by the National Natural Science Foundation of China under Grant 11272325.
DepartmentLHD气动布局优化与计算方法
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58426
Collection高温气体动力学国家重点实验室
Corresponding AuthorShen, YQ (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Peng J,Shen YQ,Shen, YQ . Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow[J]. COMPUTERS & FLUIDS,2015,115:2841-2849.
APA Peng J,Shen YQ,&Shen, YQ .(2015).Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow.COMPUTERS & FLUIDS,115,2841-2849.
MLA Peng J,et al."Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow".COMPUTERS & FLUIDS 115(2015):2841-2849.
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