Multifractal Statistics of Lagrangian Velocity and Acceleration in Turbulence

L. Biferale, G. Boffetta, A. Celani, B. J. Devenish, A. Lanotte, and F. Toschi
Phys. Rev. Lett. 93, 064502 – Published 4 August 2004

Abstract

The statistical properties of velocity and acceleration fields along the trajectories of fluid particles transported by a fully developed turbulent flow are investigated by means of high resolution direct numerical simulations. We present results for Lagrangian velocity structure functions, the acceleration probability density function, and the acceleration variance conditioned on the instantaneous velocity. These are compared with predictions of the multifractal formalism, and its merits and limitations are discussed.

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  • Received 9 March 2004

DOI:https://doi.org/10.1103/PhysRevLett.93.064502

©2004 American Physical Society

Authors & Affiliations

L. Biferale1, G. Boffetta2,6, A. Celani3, B. J. Devenish1,7, A. Lanotte4, and F. Toschi5

  • 1Department of Physics, University of Rome “Tor Vergata,” Via Ricerca Scientifica 1, 00133 Roma, Italy
  • 2Department of Physics and INFM, University of Torino, Via Pietro Giuria 1, 10125, Torino, Italy
  • 3CNRS-INLN, 1361 Route des Lucioles, 06560 Valbonne, France
  • 4CNR-ISAC (Sezione di Lecce), Strada Provinciale Lecce-Monteroni, 73100 Lecce, Italy
  • 5Istituto per le Applicazioni del Calcolo, CNR, Viale del Policlinico 137, 00161 Roma, Italy
  • 6CNR-ISAC (Sezione di Torino), Corso Fiume 4, 10133 Torino, Italy
  • 7The Met Office, Fitzroy Road, Exeter, Devon EX1 3PB, United Kingdom

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Issue

Vol. 93, Iss. 6 — 6 August 2004

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