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Lanotte, AS; Biferale, L; Boffetta, G; Toschi, F; Lanotte, AS (reprint author), CNR ISAC, Str Prov Lecce Monteroni, I-73100 Lecce, Italy.
A new assessment of the second-order moment of Lagrangian velocity increments in turbulence
Source PublicationJOURNAL OF TURBULENCE
Language英语
KeywordReynolds-number Dependence Direct Numerical-simulation Isotropic Turbulence Relative Dispersion Stochastic-model Statistics Acceleration Spectrum
AbstractThe 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.
2013
ISSN1468-5248
Volume14Issue:7Pages:34-48
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Science Foundation [PHY05-51164]; Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences [KJCX2.YW10]; Cost Action [MP0806] ; National Science Foundation [PHY05-51164]; Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences [KJCX2.YW10]; Cost Action [MP0806] ; National Science Foundation [PHY05-51164]; Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences [KJCX2.YW10]; Cost Action [MP0806] ; National Science Foundation [PHY05-51164]; Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences [KJCX2.YW10]; Cost Action [MP0806]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15330
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLanotte, AS (reprint author), CNR ISAC, Str Prov Lecce Monteroni, I-73100 Lecce, Italy.
Recommended Citation
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,&Lanotte, AS .(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.
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