Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow
文献类型：期刊论文
| 作者 | Peng J(彭军); Shen YQ(申义庆) ; Peng J(彭峻); Shen YQ(申义庆)
|
| 刊名 | COMPUTERS & FLUIDS
 |
| 出版日期 | 2015-07-22 |
| 卷号 | 115页码:2841-2849 |
| 通讯作者邮箱 | pengjun@imech.ac.cn ; yqshen@imech.ac.cn |
| 关键词 | Numerical method Supersonic compressible flow Weighted compact scheme Multi-step strategy |
| ISSN号 | 0045-7930 |
| 产权排序 | [Peng, Jun; Shen, Yiqing] Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China |
| 通讯作者 | Shen, YQ (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. |
| 中文摘要 | 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. |
| 分类号 | 二类/Q2 |
| 类目[WOS] | Computer Science, Interdisciplinary Applications ; Mechanics |
| 研究领域[WOS] | Computer Science ; Mechanics |
| 收录类别 | SCI ; EI |
| 原文出处 | http://dx.doi.org/10.1016/j.compfluid.2015.04.012 |
| 语种 | 英语 |
| WOS记录号 | WOS:000355773700019 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/58426]  |
| 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 | Peng J,Shen YQ,Peng J,et al. Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow[J]. COMPUTERS & FLUIDS,2015,115:2841-2849. |
| APA | 彭军,申义庆,Peng J,&Shen YQ.(2015).Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow.COMPUTERS & FLUIDS,115,2841-2849. |
| MLA | 彭军,et al."Improvement of weighted compact scheme with multi-step strategy for supersonic compressible flow".COMPUTERS & FLUIDS 115(2015):2841-2849. |
入库方式： OAI收割
来源：力学研究所
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