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arXiv · 1503.01852

Log-stable law of energy dissipation as a framework of turbulence intermittency

H. Mouri
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Abstract

To describe the small-scale intermittency of turbulence, a self-similarity is assumed for the probability density function of a logarithm of the rate of energy dissipation smoothed over a length scale among those in the inertial range. The result is an extension of Kolmogorov's classical theory in 1941, i.e., a one-parameter framework where the logarithm obeys some stable distribution. Scaling laws are obtained for the dissipation rate and for the two-point velocity difference. They are consistent with theoretical constraints and with the observed scaling laws. Also discussed is the physics that determines the value of the parameter.

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H. Mouri. 2015-03-06. Log-stable law of energy dissipation as a framework of turbulence intermittency. https://doi.org/10.1103/physreve.91.033017

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