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Clustering dimensionless learning for multiple-physical-regime systems

文献类型：期刊论文

作者Zhang, Lei; Xu, Zhaoyue; Wang, Shizhao; He, Guowei2; He GW(何国威); Wang SZ(王士召)
刊名COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
出版日期2024-02-15
卷号420页码:21
关键词Cluster Active subspace Data-driven dimensional analysis Machine learning
ISSN号0045-7825
DOI10.1016/j.cma.2023.116728
通讯作者He, Guowei(hgw@lnm.imech.ac.cn)
英文摘要The conventional physical analysis has relied on the researchers' intelligence and physical insights to establish mathematical models and analyze the dependence of physical systems on dominant parameters in different physical regimes. In this work, a novel data-driven method is proposed to identify different physical regimes without a prior knowledge of governing equations and discover the dominant dimensionless parameters. The proposed method consists of two parts: the first is a data division via cluster analysis, which is utilized to identify different physical regimes via grouping data points into clusters with the weights taken from the key features in active subspace method; the second is a data-driven analysis of dominant dimensionless parameters via the active subspace, which is utilized to discover dominant dimensionless parameters by use of clustering and its resultant information (e.g. eigenpairs of clusters). We use three example problems to demonstrate this method: pipe flows, the spread of oil slicks on a calm sea, and the eddy viscosity in turbulent channel flows. The results obtained show that the present method can identify distinct physical regimes, and discover dominant dimensionless parameters, while the data-driven dimensional analysis without clustering cannot be directly used to the physical systems of multiple physical regimes.
WOS关键词NUMBER
WOS研究方向Engineering ; Mathematics ; Mechanics
语种英语
WOS记录号WOS:001157246000001
源URL[http://dspace.imech.ac.cn/handle/311007/94333]  
专题力学研究所_非线性力学国家重点实验室
通讯作者He, Guowei
作者单位1.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Lei,Xu, Zhaoyue,Wang, Shizhao,et al. Clustering dimensionless learning for multiple-physical-regime systems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2024,420:21.
APA Zhang, Lei,Xu, Zhaoyue,Wang, Shizhao,He, Guowei,何国威,&王士召.(2024).Clustering dimensionless learning for multiple-physical-regime systems.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,420,21.
MLA Zhang, Lei,et al."Clustering dimensionless learning for multiple-physical-regime systems".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 420(2024):21.

入库方式： OAI收割

来源：力学研究所

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