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题名: A new assessment of the second-order moment of Lagrangian velocity increments in turbulence
作者: Lanotte, AS ;  Biferale, L ;  Boffetta, G ;  Toschi, F
刊名: JOURNAL OF TURBULENCE
出版日期: 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
学科分类: Physics
通讯作者: Lanotte, AS (reprint author), CNR ISAC, Str Prov Lecce Monteroni, I-73100 Lecce, Italy.
部门归属: [Lanotte, A. S.] CNR ISAC, I-73100 Lecce, Italy; [Lanotte, A. S.] INFN, Sez Lecce, I-73100 Lecce, Italy; [Biferale, L.] Univ Roma Tor Vergata, Dept Phys, I-00133 Rome, Italy; [Biferale, L.] Univ Roma Tor Vergata, INFN, I-00133 Rome, Italy; [Boffetta, G.] Univ Torino, Dept Phys, I-10125 Turin, Italy; [Boffetta, G.] Univ Torino, INFN, I-10125 Turin, Italy; [Toschi, F.] Eindhoven Univ Technol, Dept Appl Phys, NL-5600 MB Eindhoven, Netherlands; [Toschi, F.] Eindhoven Univ Technol, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands; [Toschi, F.] CNR IAC, I-00185 Rome, Italy; [Lanotte, A. S.; Biferale, L.; Boffetta, G.; Toschi, F.] Chinese Acad Sci, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China
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.
资助者: National Science Foundation [PHY05-51164]; Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences [KJCX2.YW10]; Cost Action [MP0806]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000325964200003
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15330
Appears in Collections:理论物理所2013年知识产出 _期刊论文

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Recommended Citation:
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.
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