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Inertial range Eulerian and Lagrangian statistics from numerical simulations of isotropic turbulence

Published online by Cambridge University Press:  02 June 2010

R. BENZI ,
L. BIFERALE ,
R. FISHER ,
D. Q. LAMB  and
F. TOSCHI
R. BENZI
Affiliation:
Department of Physics and INFN, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
L. BIFERALE*
Affiliation:
Department of Physics and INFN, University of Rome Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy
R. FISHER
Affiliation:
Department of Physics, University of Massachusetts at Dartmouth, 285 Old Westport Road, Dartmouth, MA 02740, USA
D. Q. LAMB
Affiliation:
Center for Astrophysical Thermonuclear Flashes, The University of Chicago, Chicago, IL 60637, USA and Department of Astronomy and Astrophysics, The University of Chicago, Chicago, IL 60637, USA
F. TOSCHI
Affiliation:
Department of Physics and Department of Mathematics and Computer Science, Eindhoven University of Technology, 5600 MB Eindhoven, The Netherlands and Istituto per le Applicazioni del Calcolo CNR, Viale del Policlinico 137, 00161 Rome, Italy
*
†Email address for correspondence: biferale@roma2.infn.it
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Abstract

We present a study of Eulerian and Lagrangian statistics from a high-resolution numerical simulation of isotropic and homogeneous turbulence using the FLASH code, with an estimated Taylor microscale Reynolds number of around 600. Statistics are evaluated over a data set with 18563 spatial grid points and with 2563 = 16.8 million particles, followed for about one large-scale eddy turnover time. We present data for the Eulerian and Lagrangian structure functions up to the tenth order. We analyze the local scaling properties in the inertial range. The Eulerian velocity field results show good agreement with previous data and confirm the puzzling differences previously found between the scaling of the transverse and the longitudinal structure functions. On the other hand, accurate measurements of sixth-and-higher-order Lagrangian structure functions allow us to highlight some discrepancies from earlier experimental and numerical results. We interpret this result in terms of a possible contamination from the viscous scale, which may have affected estimates of the scaling properties in previous studies. We show that a simple bridge relation based on a multifractal theory is able to connect scaling properties of both Eulerian and Lagrangian observables, provided that the small differences between intermittency of transverse and longitudinal Eulerian structure functions are properly considered.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 653 , 25 June 2010 , pp. 221 - 244
Copyright
Copyright © Cambridge University Press 2010

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References

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