Issue |
Europhys. Lett.
Volume 37, Number 5, February II 1997
|
|
---|---|---|
Page(s) | 323 - 328 | |
Section | Classical areas of phenomenology | |
DOI | https://doi.org/10.1209/epl/i1997-00151-4 | |
Published online | 01 September 2002 |
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
Received:
22
October
1996
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
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