Dynamical model of steadily forced isotropic turbulence

2006/01/16 by Mehrafarin, Mohammad
#FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Statistical Mechanics (cond-mat.stat-mech)

paper · doi:10.48550/arxiv.cond-mat/0601330

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 ∼ L^11/3. The physical origin of the transient behavior is explained.

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