Solvable intermittent shell model of turbulence
Alexei A. Mailybaev
TL;DR
This paper presents an analytically solvable shell model of turbulence that captures intermittent behavior and anomalous scaling, linking these features to hidden symmetries relevant for understanding real turbulence.
Contribution
The paper introduces a new shell model with explicit solutions for anomalous exponents, connecting intermittency to hidden symmetries in turbulence.
Findings
Analytical solution for anomalous exponents
Intermittency linked to hidden symmetry
Model reproduces key turbulence features
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.
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