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2008 Articolo in rivista restricted access

Universal intermittent properties of particle trajectories in highly turbulent flows

Arneodo, A ; Benzi, R ; Berg, J ; Biferale, L ; Bodenschatz, E ; Busse, A ; Calzavarini, E ; Castaing, B ; Cencini, M ; Chevillard, L ; Fisher, RT ; Grauer, R ; Homann, H ; Lamb, D ; Lanotte, AS ; Leveque, E ; Luthi, B ; Mann, J ; Mordant, N ; Muller, WC ; Ott, S ; Ouellette

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 Rlambda[is-an-element-of][120:740]. 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.

EXTENDED SELF-SIMILARITY LAGRANGIAN STATISTICS REYNOLDS-NUMBER ISOTROPIC TURBULENCE DISPERSION

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