Intermittency in the large-N limit of a spherical shell model for turbulence
Department of Physics, University of L'Aquila, Via Vetoio 1, I-67010 Coppito, L'Aquila, Italy
Accepted: 10 January 1997
A spherical shell model for turbulence, obtained by coupling N replicas of the Gledzer, Okhitani and Yamada shell model, is considered. Conservation of energy and of a helicity-like invariant is imposed in the inviscid limit. In the limit this model is analytically soluble and is remarkably similar to the random coupling model version of shell dynamics. We have studied numerically the convergence of the scaling exponents toward the value predicted by Kolmogorov theory (K41). We have found that the rate of convergence to the K41 solution is linear in 1/N. The restoring of Kolmogorov law has been related to the behaviour of the probability distribution functions of the instantaneous scaling exponent.
PACS: 47.27.Jv – High-Reynolds-number turbulence / 47.90.+a – Other topics in fluid dynamics / 05.45.+b – Theory and models of chaotic systems
© EDP Sciences, 1997