A new assessment of the second-order moment of Lagrangian velocity increments in turbulence

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	A new assessment of the second-order moment of Lagrangian velocity increments in turbulence
	Lanotte, AS ; Biferale, L ; Boffetta, G ; Toschi, F
刊名	JOURNAL OF TURBULENCE
	2013
卷号	14 期号:7 页码:34-48
关键词	REYNOLDS-NUMBER DEPENDENCE DIRECT NUMERICAL-SIMULATION ISOTROPIC TURBULENCE RELATIVE DISPERSION STOCHASTIC-MODEL STATISTICS ACCELERATION SPECTRUM
ISSN号	1468-5248
通讯作者	Lanotte, AS (reprint author), CNR ISAC, Str Prov Lecce Monteroni, I-73100 Lecce, Italy.
英文摘要	The behaviour of the second-order Lagrangian structure functions on state-of-the-art numerical data both in two and three dimensions is studied. On the basis of a phenomenological connection between Eulerian space-fluctuations and the Lagrangian time-fluctuations, it is possible to rephrase the Kolmogorov 4/5-law into a relation predicting the linear (in time) scaling for the second-order Lagrangian structure function. When such a function is directly observed on current experimental or numerical data, it does not clearly display a scaling regime. A parameterisation of the Lagrangian structure functions based on Batchelor model is introduced and tested on data for 3d turbulence, and for 2d turbulence in the inverse cascade regime. Such parameterisation supports the idea, previously suggested, that both Eulerian and Lagrangian data are consistent with a linear scaling plus finite-Reynolds number effects affecting the small- and large timescales. When large-time saturation effects are properly accounted for, compensated plots show a detectable plateau already at the available Reynolds number. Furthermore, this parameterisation allows us to make quantitative predictions on the Reynolds number value for which Lagrangian structure functions are expected to display a scaling region. Finally, we show that this is also sufficient to predict the anomalous dependency of the normalised root mean squared acceleration as a function of the Reynolds number, without fitting parameters.
学科主题	Physics
收录类别	SCI
资助信息	National Science Foundation [PHY05-51164]; Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences [KJCX2.YW10]; Cost Action [MP0806]
原文出处	http://dx.doi.org/10.1080/14685248.2013.839882
语种	英语
WOS记录号	WOS:000325964200003
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15330]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Lanotte, AS,Biferale, L,Boffetta, G,et al. A new assessment of the second-order moment of Lagrangian velocity increments in turbulence[J]. JOURNAL OF TURBULENCE,2013,14(7):34-48.
APA	Lanotte, AS,Biferale, L,Boffetta, G,&Toschi, F.(2013).A new assessment of the second-order moment of Lagrangian velocity increments in turbulence.JOURNAL OF TURBULENCE,14(7),34-48.
MLA	Lanotte, AS,et al."A new assessment of the second-order moment of Lagrangian velocity increments in turbulence".JOURNAL OF TURBULENCE 14.7(2013):34-48.