1. Universal Intermittent Properties of Particle Trajectories in Highly Turbulent Flows
- Author
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ICTR, Arneodo, 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., Leveque, E., Luethi, B., Mann, J., Mordant, N., Mueller, W. -C., Ott, S., Ouellette, N. T., Pinton, J. -F., Pope, S. B., Roux, S. G., Toschi, F., Xu, H., Yeung, P. K., Laboratoire Joliot Curie, École normale supérieure de Lyon (ENS de Lyon)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Physique de l'ENS Lyon (Phys-ENS), École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS), École normale supérieure - Lyon (ENS Lyon)-Centre National de la Recherche Scientifique (CNRS), École normale supérieure - Lyon (ENS Lyon)-Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon, Max Planck Institute for Dynamics and Self-Organization (MPIDS), Max-Planck-Gesellschaft, Univ Tennessee, Dept Mat Sci & Engn, The University of Tennessee [Knoxville], Institut Technique de la Betterave (ITB), Confédération Générale des Planteurs de Betteraves, Computational Multiscale Transport Phenomena (Toschi), and Physics of Fluids
- Subjects
(PL) properties ,Lagrange multipliers ,Statistical methods ,Structure functions ,ISOTROPIC TURBULENCE ,General Physics and Astronomy ,Vindenergi ,American Physical Society (APS) ,01 natural sciences ,Reynolds number ,Trajectories ,010305 fluids & plasmas ,law.invention ,law ,Numerical simulations ,METIS-248569 ,Range (statistics) ,Intermittency ,Statistical physics ,Temporal scales ,Lagrangian ,ComputingMilieux_MISCELLANEOUS ,Particle trajectories ,Physics ,universal behaviors ,Turbulence ,Statistics ,Wide-range ,Physics - Fluid Dynamics ,EXTENDED SELF-SIMILARITY ,Multifractal system ,Computer simulation ,Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici ,symbols ,statistical convergence ,Data sets ,Set theory ,Sedimentation ,Collapse (drying) ,Multifractal theory ,[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn] ,IR-59245 ,FOS: Physical sciences ,Domain (mathematical analysis) ,temporal scaling ,symbols.namesake ,Time lags ,Velocity statistics ,DISPERSION ,0103 physical sciences ,Reynolds (CO) ,Turbulent velocity ,010306 general physics ,Describing functions ,Fluid Dynamics (physics.flu-dyn) ,Nonlinear Sciences - Chaotic Dynamics ,LAGRANGIAN STATISTICS ,[NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] ,Dissipative system ,REYNOLDS-NUMBER ,Chaotic Dynamics (nlin.CD) - 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 $R_\lambda \in [120:740]$. Lagrangian structure functions from all data sets are found to collapse onto each other on a wide range of time lags, revealing a universal statistics, and calling for a unified theoretical description. Parisi-Frisch Multifractal theory, suitable extended to the dissipative scales and to the Lagrangian domain, is found to capture intermittency of velocity statistics over the whole three decades of temporal scales here investigated., Comment: 5 pages, 1 figure; content changed, references updated
- Published
- 2008