Volume 84, Number 1, October 2008
|Number of page(s)||5|
|Published online||24 September 2008|
Kolmogorov scaling from random force fields
Niels Bohr Institute - Blegdamsvej 17, Dk 2100, Copenhagen, Denmark, EU (URL: http://cmol.nbi.dk.)
2 Center for Physics of Geological Processes, University of Oslo - Oslo, Norway
Accepted: 25 August 2008
We show that the classical Kolmogorov and Richardson scaling laws in fully developed turbulence are consistent with a random Gaussian force field. Numerical simulations of a shell model for turbulence suggest that the fluctuations in the force (acceleration) field are scale independent throughout the inertial regime. We find that Lagrangian statistics of the relative velocity in a turbulent flow is determined by the typical force field, whereas the multiscaling is associated to extreme events in the force field fluctuations.
PACS: 05.20.Jj – Statistical mechanics of classical fluids / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 47.27.-i – Turbulent flows
© EPLA, 2008
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