Clustering dimensionless learning for multiple-physical-regime systems

doi:10.1016/j.cma.2023.116728

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	Clustering dimensionless learning for multiple-physical-regime systems
	Zhang, Lei; Xu ZY(许昭越); Wang SZ(王士召); He GW(何国威)
刊名	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
	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
DOI	10.1016/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.
分类号	一类
WOS关键词	NUMBER
WOS研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
WOS记录号	WOS:001157246000001
其他责任者	He, Guowei
内容类型	期刊论文
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
推荐引用方式 GB/T 7714	Zhang, Lei,Xu ZY,Wang SZ,et al. Clustering dimensionless learning for multiple-physical-regime systems[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2024,420:21.
APA	Zhang, Lei,许昭越,王士召,&何国威.(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.