Kolmogorov scaling from random force fieldsM. H. Jensen1, K. Sneppen1 and L. Angheluta2
1 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
received 11 April 2008; accepted in final form 25 August 2008; published October 2008
published online 24 September 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.
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