Angular Statistics of Lagrangian Trajectories in Turbulence

Wouter J. T. Bos, Benjamin Kadoch, and Kai Schneider
Phys. Rev. Lett. 114, 214502 – Published 29 May 2015

Abstract

The angle between subsequent particle displacement increments is evaluated as a function of the time lag in isotropic turbulence. It is shown that the evolution of this angle contains two well-defined power laws, reflecting the multiscale dynamics of high-Reynolds number turbulence. The probability density function of the directional change is shown to be self-similar and well approximated by an analytically derived model assuming Gaussianity and independence of the velocity and the Lagrangian acceleration.

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  • Received 20 November 2014

DOI:https://doi.org/10.1103/PhysRevLett.114.214502

© 2015 American Physical Society

Authors & Affiliations

Wouter J. T. Bos1, Benjamin Kadoch2, and Kai Schneider3

  • 1LMFA, CNRS UMR 5509, Ecole Centrale de Lyon, Université de Lyon, Ecully, France
  • 2IUSTI, CNRS UMR 7343, Aix-Marseille University, Marseille, France
  • 3M2P2, CNRS UMR 7340 & CMI, Aix-Marseille University, Marseille, France

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Issue

Vol. 114, Iss. 21 — 29 May 2015

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