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Physical interpretation of neural network-based nonlinear eddy viscosity models
Zhang XL(张鑫磊); Xiao, Heng; Jee, Solkeun; He GW(何国威)
Corresponding AuthorJee, Solkeun([email protected])
Source PublicationAEROSPACE SCIENCE AND TECHNOLOGY
2023-11-01
Volume142Pages:13
ISSN1270-9638
AbstractNeural network-based turbulence modeling has gained significant success in improving turbulence predictions by incorporating high fidelity data. However, the interpretability of the learned model is often not fully analyzed, which has been one of the main criticisms of neural network-based turbulence modeling. Therefore, it is increasingly demanding to provide physical interpretation of the trained model, which is of significant interest for guiding the development of interpretable and unified turbulence models. The present work aims to interpret the predictive improvement of turbulence flows based on the behavior of the learned model, represented with tensor basis neural networks. The ensemble Kalman method is used for model learning from sparse observation data due to its ease of implementation and high training efficiency. Two cases, i.e., flow over the S809 airfoil and flow in a square duct, are used to demonstrate the physical interpretation of the ensemble-based turbulence modeling. For the flow over the S809 airfoil, our results show that the ensemble Kalman method learns an optimal linear eddy viscosity model, which improves the prediction of the aerodynamic lift by reducing the eddy viscosity in the upstream boundary layer and promoting the early onset of flow separation. For the square duct case, the method provides a nonlinear eddy viscosity model, which predicts well secondary flows by capturing the imbalance of the Reynolds normal stresses. The flexibility of the ensemble-based method is highlighted to capture characteristics of the flow separation and secondary flow by adjusting the nonlinearity of the turbulence model.(c) 2023 Elsevier Masson SAS. All rights reserved.
KeywordMachine learning Turbulence modeling Ensemble Kalman inversion Physical interpretability
DOI10.1016/j.ast.2023.108632
Indexed BySCI ; EI
Language英语
WOS IDWOS:001086005400001
WOS KeywordTURBULENCE ; FLOWS
WOS Research AreaEngineering
WOS SubjectEngineering, Aerospace
Funding ProjectNSFC Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics[11988102] ; National Natural Science Foundation of China[12102435] ; China Postdoctoral Science Foundation[2021M690154] ; National Research Foundation of Korea[NRF-2021H1D3A2A01096296]
Funding OrganizationNSFC Basic Science Center Program for Multiscale Problems in Nonlinear Mechanics ; National Natural Science Foundation of China ; China Postdoctoral Science Foundation ; National Research Foundation of Korea
Classification一类
Ranking1
ContributorJee, Solkeun
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Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/93238
Collection非线性力学国家重点实验室
Recommended Citation
GB/T 7714
Zhang XL,Xiao, Heng,Jee, Solkeun,et al. Physical interpretation of neural network-based nonlinear eddy viscosity models[J]. AEROSPACE SCIENCE AND TECHNOLOGY,2023,142:13.Rp_Au:Jee, Solkeun
APA 张鑫磊,Xiao, Heng,Jee, Solkeun,&何国威.(2023).Physical interpretation of neural network-based nonlinear eddy viscosity models.AEROSPACE SCIENCE AND TECHNOLOGY,142,13.
MLA 张鑫磊,et al."Physical interpretation of neural network-based nonlinear eddy viscosity models".AEROSPACE SCIENCE AND TECHNOLOGY 142(2023):13.
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