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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.
Source PublicationINTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
2017
Volume83Issue:9Pages:681-703
ISSN0271-2091
Abstract

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.

DOI10.1002/fld.4285
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000394456300001
WOS KeywordWENO scheme ; switch function ; hybrid scheme ; compressible flow
WOS Research AreaComputer Science ; Mathematics ; Mechanics ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas
Funding OrganizationThis work was supported by NSFC (No. 11272325 and No. 11272324) and NSAF (No. U1530145). The authors acknowledge the anonymous reviewers for their valuable comments.
DepartmentLHD气动布局优化与计算方法
ClassificationQ4
Ranking1
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/60096
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 . 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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