We discuss a shell-model for the 3D fully developed turbulence. By calculating the structure functions we find corrections to the Kolmogorov theory due to an intermittent structure of energy dissipation. The intermittency can be described in terms of a multifractal scaling and it is related to the Lyapunov exponents and eigenvectors. Moreover we obtain that the maximum Lyapunov exponent λ and the variance of the effective Lyapunov exponent diverge as a power of the Reynolds number with scaling exponents which can be calculated in terms of a multifractal spectrum.

Dynamical Models for Fully Developed Turbulence / Crisanti, Andrea; M. H., Jensen; G., Paladin; Vulpiani, Angelo. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - STAMPA. - 49:(1993), pp. 80-83. [10.1088/0031-8949/1993/T49A/013]

Dynamical Models for Fully Developed Turbulence

CRISANTI, Andrea;VULPIANI, Angelo
1993

Abstract

We discuss a shell-model for the 3D fully developed turbulence. By calculating the structure functions we find corrections to the Kolmogorov theory due to an intermittent structure of energy dissipation. The intermittency can be described in terms of a multifractal scaling and it is related to the Lyapunov exponents and eigenvectors. Moreover we obtain that the maximum Lyapunov exponent λ and the variance of the effective Lyapunov exponent diverge as a power of the Reynolds number with scaling exponents which can be calculated in terms of a multifractal spectrum.
1993
01 Pubblicazione su rivista::01a Articolo in rivista
Dynamical Models for Fully Developed Turbulence / Crisanti, Andrea; M. H., Jensen; G., Paladin; Vulpiani, Angelo. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - STAMPA. - 49:(1993), pp. 80-83. [10.1088/0031-8949/1993/T49A/013]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/68740
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