Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence

doi:10.3390/sym16020175

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	Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence
	Luo, Chensheng 1; Yang PF(杨平凡)2,3; Fang, Le 1
刊名	SYMMETRY-BASEL
	2024-02-01
卷号	16 期号:2 页码:12
关键词	two-dimensional turbulence compressible turbulence velocity gradient
DOI	10.3390/sym16020175
通讯作者	Fang, Le(le.fang@buaa.edu.cn)
英文摘要	In isotropic turbulence, symmetry of different directions can reduce the number of independent components for velocity gradient tensors. In three-dimensional isotropic turbulence, the independent components under either incompressible or compressible conditions have already been analyzed in the literature. However, for two-dimensional isotropic turbulence, they are still unclear. We derive rigorously the independent components for velocity gradient tensors of two-dimensional isotropic turbulence and give physical explanations. These theoretical results are validated using high-resolution direct numerical simulations (DNSs) of two-dimensional compressible turbulence. Results show that the present DNS setup is still not sufficient to capture the isotropy of third-order moments, suggesting that more investigations on determining the smallest scale and improving the numerical schemes for two-dimensional compressible turbulence are required.
分类号	二类
资助项目	National Natural Science Foundation of China
WOS关键词	DISSIPATION ; SIMULATION ; VORTICITY ; SCHEME
WOS研究方向	Science & Technology - Other Topics
语种	英语
WOS记录号	WOS:001172219200001
资助机构	National Natural Science Foundation of China
其他责任者	Fang, Le
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/94634]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.Beihang Univ, Ecole Cent Pekin, Sch Gen Engn, Lab Complex Syst, Beijing 100191, Peoples R China; 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China; 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Luo, Chensheng,Yang PF,Fang, Le. Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence[J]. SYMMETRY-BASEL,2024,16(2):12.
APA	Luo, Chensheng,杨平凡,&Fang, Le.(2024).Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence.SYMMETRY-BASEL,16(2),12.
MLA	Luo, Chensheng,et al."Low-Order Moments of Velocity Gradient Tensors in Two-Dimensional Isotropic Turbulence".SYMMETRY-BASEL 16.2(2024):12.