Universal intermittent properties of particle trajectories in highly turbulent flows

A. Arnèodo; R. Benzi; J. 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. Lévèque; B. Lüthi; J. Mann; N. Mordant; W.C. Müller; S. Ott; N.T. Ouellette; J.-F. Pinton; S.B. Pope; S.G. Roux; F. Toschi; H. Xu; P.K. Yeung

doi:10.1103/PhysRevLett.100.254504

Universal intermittent properties of particle trajectories in highly turbulent flows

A. Arnèodo^*, R. Benzi, J. 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. Lévèque, B. Lüthi, J. Mann, N. Mordant, W.C. MüllerS. Ott, N.T. Ouellette, J.-F. Pinton, S.B. Pope, S.G. Roux, F. Toschi, H. Xu, P.K. Yeung

^*Corresponding author for this work

Physics of Fluids

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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 Rλ[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.

Original language	English
Article number	254504
Journal	Physical review letters
Volume	100
Issue number	25
DOIs	https://doi.org/10.1103/PhysRevLett.100.254504
Publication status	Published - 27 Jun 2008

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10.1103/PhysRevLett.100.254504

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Arnèodo, A., Benzi, R., Berg, J., Biferale, L., Bodenschatz, E., Busse, A., Calzavarini, E., Castaing, B., Cencini, M., Chevillard, L., Fisher, R. T., Grauer, R., Homann, H., Lamb, D., Lanotte, A. S., Lévèque, E., Lüthi, B., Mann, J., Mordant, N., ... Yeung, P. K. (2008). Universal intermittent properties of particle trajectories in highly turbulent flows. Physical review letters, 100(25), Article 254504. https://doi.org/10.1103/PhysRevLett.100.254504

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title = "Universal intermittent properties of particle trajectories in highly turbulent flows",

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 Rλ[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.",

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Arnèodo, 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, Lévèque, E, Lüthi, B, Mann, J, Mordant, N, Müller, WC, Ott, S, Ouellette, NT, Pinton, J-F, Pope, SB, Roux, SG, Toschi, F, Xu, H & Yeung, PK 2008, 'Universal intermittent properties of particle trajectories in highly turbulent flows', Physical review letters, vol. 100, no. 25, 254504. https://doi.org/10.1103/PhysRevLett.100.254504

TY - JOUR

T1 - Universal intermittent properties of particle trajectories in highly turbulent flows

AU - Arnèodo, A.

AU - Benzi, R.

AU - Berg, J.

AU - Biferale, L.

AU - Bodenschatz, E.

AU - Busse, A.

AU - Calzavarini, E.

AU - Castaing, B.

AU - Cencini, M.

AU - Chevillard, L.

AU - Fisher, R.T.

AU - Grauer, R.

AU - Homann, H.

AU - Lamb, D.

AU - Lanotte, A.S.

AU - Lévèque, E.

AU - Lüthi, B.

AU - Mann, J.

AU - Mordant, N.

AU - Müller, W.C.

AU - Ott, S.

AU - Ouellette, N.T.

AU - Pinton, J.-F.

AU - Pope, S.B.

AU - Roux, S.G.

AU - Toschi, F.

AU - Xu, H.

AU - Yeung, P.K.

PY - 2008/6/27

Y1 - 2008/6/27

N2 - 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 Rλ[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.

AB - 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 Rλ[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.

KW - n/a OA procedure

UR - http://www.scopus.com/inward/record.url?scp=46349108568&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.100.254504

DO - 10.1103/PhysRevLett.100.254504

M3 - Article

SN - 0031-9007

VL - 100

JO - Physical review letters

JF - Physical review letters

IS - 25

M1 - 254504

ER -

Universal intermittent properties of particle trajectories in highly turbulent flows

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