A multifractal model for linking Lagrangian and Eulerian velocity structure functions

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	A multifractal model for linking Lagrangian and Eulerian velocity structure functions
	Dong YF(董宇峰); Jin GD(晋国栋); Jin, GD (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China.
发表期刊	Acta Mechanica Sinica
	2014-08
卷号	30 期号:4 页码:480-484
ISSN	0567-7718
摘要	A multifractal model is developed to connect the Lagrangian multifractal dimensions with their Eulerian counterparts. We propose that the characteristic time scale of a Lagrangian quantity should be the Lagrangian time scale, and it should not be the Eulerian time scale which was widely used in previous studies on Lagrangian statistics. Using the present model, we can obtain the scaling exponents of Lagrangian velocity structure functions from the existing data or models of scaling exponents of Eulerian velocity structure functions. This model is validated by comparing its prediction with the results of experiments, direct numerical simulations, and the previous theoretical models. The comparison shows that the proposed model can better predict the scaling exponents of Lagrangian velocity structure functions, especially for orders larger than 6.
关键词	Lagrangian Multifractal Eulerian Multifractal Intermittency Velocity Structure Functions
学科领域	Engineering ; Mechanics
URL	查看原文
收录类别	SCI ; EI ; CSCD
语种	英语
WOS记录号	WOS:000340551700003
项目资助者	The project was supported by the National Natural Science Foundation of China (11072247, 11021262, and 11232011), National Natural Science Associate Foundation of China (NSAF) (U1230126), and 973 program of China (2013CB834100).
课题组名称	LNM湍流
论文分区	二类
引用统计
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/49095
专题	非线性力学国家重点实验室
通讯作者	Jin, GD (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Dong YF,Jin GD,Jin, GD . A multifractal model for linking Lagrangian and Eulerian velocity structure functions[J]. Acta Mechanica Sinica,2014,30,4,:480-484.
APA	Dong YF,Jin GD,&Jin, GD .(2014).A multifractal model for linking Lagrangian and Eulerian velocity structure functions.Acta Mechanica Sinica,30(4),480-484.
MLA	Dong YF,et al."A multifractal model for linking Lagrangian and Eulerian velocity structure functions".Acta Mechanica Sinica 30.4(2014):480-484.

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