Solvable intermittent shell model of turbulence

Abstract

We introduce a shell model of turbulence featuring intermittent behaviour with anomalous power-law scaling of structure functions. This model is solved analytically with the explicit derivation of anomalous exponents. The solution associates the intermittency with the hidden symmetry for Kolmogorov multipliers, making our approach relevant for real turbulence.

12 pages, 2 figures

References in corpus (1)

• From the butterfly effect to intrinsic randomness: the spontaneous growth of singular shear flows

Cited by in corpus (7)

• Hidden scale invariance in Navier-Stokes intermittency
• Shell model intermittency is the hidden self-similarity
• Extreme statistics and extreme events in dynamical models of turbulence
• Hidden scale invariance of turbulence in a shell model: from forcing to dissipation scales
• Dyadic models for fluid equations: a survey
• Functional renormalisation group approach to shell models of turbulence
• Perturbative anomalous exponents from Kolmogorov multipliers