A novel weighting switch function for uniformly high-order hybrid shock-capturing schemes | |
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. | |
发表期刊 | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS |
2017 | |
卷号 | 83期号:9页码:681-703 |
ISSN | 0271-2091 |
摘要 | Hybrid schemes are very efficient for complex compressible flow simulation. However, for most existing hybrid schemes in literature, empirical problem-dependent parameters are always needed to detect shock waves and hence greatly decrease the robustness and accuracy of the hybrid scheme. In this paper, based on the nonlinear weights of the weighted essentially non-oscillatory (WENO) scheme, a novel weighting switch function is proposed. This function approaches 1 with high-order accuracy in smooth regions and 0 near dis-continuities. Then, with the new weighting switch function, a seventh-order hybrid compact-reconstruction WENO scheme (HCCS) is developed. The new hybrid scheme uses the same stencil as the fifth-order WENO scheme, and it has seventh-order accuracy in smooth regions even at critical points. Numerical tests are presented to demonstrate the accuracy and robustness of both the switch function and HCCS. Comparisons also reveal that HCCS has lower dissipation and less computational cost than the seventh-order WENO scheme. (C) 2016 John Wiley & Sons, Ltd. |
DOI | 10.1002/fld.4285 |
URL | 查看原文 |
收录类别 | SCI ; EI |
语种 | 英语 |
WOS记录号 | WOS:000394456300001 |
关键词[WOS] | WENO scheme ; switch function ; hybrid scheme ; compressible flow |
WOS研究方向 | Computer Science ; Mathematics ; Mechanics ; Physics |
WOS类目 | Computer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas |
项目资助者 | This work was supported by NSFC (No. 11272325 and No. 11272324) and NSAF (No. U1530145). The authors acknowledge the anonymous reviewers for their valuable comments. |
课题组名称 | LHD气动布局优化与计算方法 |
论文分区 | Q4 |
力学所作者排名 | 1 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/60096 |
专题 | 高温气体动力学国家重点实验室 |
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. |
推荐引用方式 GB/T 7714 | Peng J,Shen YQ,Shen, YQ . A novel weighting switch function for uniformly high-order hybrid shock-capturing schemes[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,2017,83,9,:681-703. |
APA | Peng J,Shen YQ,&Shen, YQ .(2017).A novel weighting switch function for uniformly high-order hybrid shock-capturing schemes.INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS,83(9),681-703. |
MLA | Peng J,et al."A novel weighting switch function for uniformly high-order hybrid shock-capturing schemes".INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS 83.9(2017):681-703. |
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