Long time correlations in lagrangian dynamics: a key to intermittency in turbulence

Long time correlations in lagrangian dynamics: a key to intermittency in turbulence

Using a new experimental technique, based on the scattering of ultrasounds, we perform a direct measurement of particle velocities, in a fully turbulent flow. This allows us to approach intermittency in turbulence from a dynamical point of view and to analyze the Lagrangian velocity fluctuations in...

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Veröffentlicht in:Physical review letters 2002-12, Vol.89 (25), p.254502-254502, Article 254502
Hauptverfasser: Mordant, N, Delour, J, Léveque, E, Arnéodo, A, Pinton, J-F
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Physics
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container_issue 25
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container_title Physical review letters
container_volume 89
creator Mordant, N
Delour, J
Léveque, E
Arnéodo, A
Pinton, J-F
description Using a new experimental technique, based on the scattering of ultrasounds, we perform a direct measurement of particle velocities, in a fully turbulent flow. This allows us to approach intermittency in turbulence from a dynamical point of view and to analyze the Lagrangian velocity fluctuations in the framework of random walks. We find experimentally that the elementary steps in the walk have random uncorrelated directions but a magnitude that is extremely long range correlated in time. Theoretically, a Langevin equation is proposed and shown to account for the observed one- and two-point statistics. This approach connects intermittency to the dynamics of the flow.
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Physics
title Long time correlations in lagrangian dynamics: a key to intermittency in turbulence
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