Log-stable law of energy dissipation as a framework of turbulence intermittency
Fluid Dynamics
2015-03-30 v1 Data Analysis, Statistics and Probability
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.
Keywords
Cite
@article{arxiv.1503.01852,
title = {Log-stable law of energy dissipation as a framework of turbulence intermittency},
author = {H. Mouri},
journal= {arXiv preprint arXiv:1503.01852},
year = {2015}
}
Comments
8 pages, to appear in Physical Review E