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 Publication | COMPUTERS & FLUIDS |
2015-07-22 | |
Volume | 115Pages:2841-2849 |
ISSN | 0045-7930 |
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. |
Keyword | Numerical Method Supersonic Compressible Flow Weighted Compact Scheme Multi-step Strategy |
DOI | 10.1016/j.compfluid.2015.04.012 |
URL | 查看原文 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000355773700019 |
WOS Research Area | Computer Science ; Mechanics |
WOS Subject | Computer Science, Interdisciplinary Applications ; Mechanics |
Funding Organization | This research work was supported by the National Natural Science Foundation of China under Grant 11272325. |
Department | LHD气动布局优化与计算方法 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/58426 |
Collection | 高温气体动力学国家重点实验室 |
Corresponding Author | Shen, 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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