Phys. Rev. Lett.
100,
254504
(2008)
[5 pages]
Universal Intermittent Properties of Particle Trajectories in Highly Turbulent Flows
A. Arnèodo et al. International Collaboration for Turbulence Research
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A. Arnèodo1, R. Benzi2, J. Berg3, L. Biferale4,*, E. Bodenschatz5, A. Busse6, E. Calzavarini7, B. Castaing1, M. Cencini8,*, L. Chevillard1, R. T. Fisher9, R. Grauer10, H. Homann10, D. Lamb9, A. S. Lanotte11,*, E. Lévèque1, B. Lüthi12, J. Mann3, N. Mordant13, W.-C. Müller6, S. Ott3, N. T. Ouellette14, J.-F. Pinton1, S. B. Pope15, S. G. Roux1, F. Toschi16,17,*, H. Xu5, and P. K. Yeung18 (International Collaboration for Turbulence Research)
1Laboratoire de Physique de l’École Normale Supérieure de Lyon, 46 allée d’Italie F-69007 Lyon, France 2University of Tor Vergata and INFN, via della Ricerca Scientifica 1, 00133 Rome, Italy 3Wind Energy Department Risø National Laboratory-DTU, 4000 Roskilde, Denmark 4University of Tor Vergata and INFN, Via della Ricerca Scientifica 1, 00133 Rome, Italy 5Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, D-37077 Goettingen, Germany 6Max Planck Institute for Plasma Physics, Garching, Germany 7Department of Applied Physics, University of Twente, 7500 AE Enschede, The Netherlands 8INFM-CNR, SMC Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale A. Moro, 2 I-00185 Rome, Italy 9Department of Astronomy and Astrophysics, The University of Chicago, Chicago, Illinois 60637, USA 10Institute for Theoretical Physics I, Ruhr-University Bochum, 44780 Bochum, Germany 11CNR-ISAC, Via Fosso del Cavaliere 100, 00133 Rome and INFN, Sezione di Lecce, 73100 Lecce, Italy 12IFU, ETH Zürich, Switzerland 13Laboratoire de Physique Statistique de l’Ecole Normal Supérieure CNRS 24 Rue Lhomond, 75231 Paris Cedex 05, France 14Haverford College, 370 Lancaster Avenue, Haverford, Pennsylvania 19041, USA 15Sibley School of Mechanical and Aerospace Engineering 254 Upson Hall, Cornell University, Ithaca, New York 14853-7501, USA 16Istituto per le Applicazioni del Calcolo CNR, Viale del Policlinico 137, 00161 Roma, Italy 17INFN, Sezione di Ferrara, Via G. Saragat 1, 44100 Ferrara, Italy 18School of Aerospace Engineering, Georgia Institute of Technology, 279 Ferst Drive Atlanta, Georgia 30332-0150, USA
Received 18 February 2008; published 27 June 2008
We present a collection of eight data sets from state-of-the-art experiments and numerical simulations on turbulent velocity statistics along particle trajectories obtained in different flows with Reynolds numbers in the range Rλ∈[120∶740]. Lagrangian structure functions from all data sets are found to collapse onto each other on a wide range of time lags, pointing towards the existence of a universal behavior, within present statistical convergence, and calling for a unified theoretical description. Parisi-Frisch multifractal theory, suitably extended to the dissipative scales and to the Lagrangian domain, is found to capture the intermittency of velocity statistics over the whole three decades of temporal scales investigated here.
© 2008 The American Physical Society
URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.254504
DOI:
10.1103/PhysRevLett.100.254504
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