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Dynamical model of steadily forced isotropic turbulence

Mohammad Mehrafarin
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Abstract

A dynamical model is proposed for isotropic turbulence driven by steady forcing that yields a viscosity independent dynamics for the small-scale (inertial) regime. This reproduces the Kolmogorov spectrum for the two-point velocity correlation function in the fully developed (stationary) stage, while predicting intermittency corrections for higher order moments. The model also yields a transient stage with a power-law time evolution. The crossover time to fully developed turbulence scales with the turbulent system size as $\sim L^{11/3}$. The physical origin of the transient behavior is explained.

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Mohammad Mehrafarin. 2006-01-16. Dynamical model of steadily forced isotropic turbulence. https://arxiv.org/abs/cond-mat/0601330

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