Universal intermittent properties of particle trajectories in highly turbulent flows

A. Arnèodo, R. Benzi, Jacob Berg, L. Biferale, E. Bodenschatz, A. Busse, E. Calzavarini, B. Castaing, M. Cencini, L. Chevillard, R.T. Fisher, R. Grauer, H. Homann, D. Lamb, A.S. Lanotte, E. Lévègue, B. Lüthi, Jakob Mann, N. Mordant, W.-C. MüllerSøren Ott, N.T. Ouellette, J.-F. Pinton, S.B. Pope, S.G. Roux, F. Toschi, H. Xu, P.K. Yeung

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    Abstract

    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 R-lambda is an element of [120740]. 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.
    Original languageEnglish
    JournalPhysical Review Letters
    Volume100
    Issue number25
    Pages (from-to)254504
    ISSN0031-9007
    DOIs
    Publication statusPublished - 2008

    Bibliographical note

    Copyright 2008 American Physical Society

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