Angular statistics of Lagrangian trajectories in turbulence

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...

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Bibliographic Details
Published inPhysical review letters Vol. 114; no. 21; p. 214502
Main Authors Bos, Wouter J T, Kadoch, Benjamin, Schneider, Kai
Format Journal Article
LanguageEnglish
Published United States 29.05.2015
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Summary: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.
ISSN:1079-7114
DOI:10.1103/physrevlett.114.214502