Solvable intermittent shell model of turbulence
arXiv:2103.14732 · doi:10.1007/s00220-021-04190-z
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.
arXiv comment12 pages, 2 figures
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Cited by in corpus (8)
- Hidden scale invariance in Navier-Stokes intermittency
- Hidden spatiotemporal symmetries and intermittency in turbulence
- Hidden scale invariance of turbulence in a shell model: from forcing to dissipation scales
- Extreme statistics and extreme events in dynamical models of turbulence
- Shell model intermittency is the hidden self-similarity
- Dyadic models for fluid equations: a survey
- Functional renormalisation group approach to shell models of turbulence
- Perturbative anomalous exponents from Kolmogorov multipliers