Analysis of Velocity Derivatives in Turbulence based on Generalized Statistics
统计力学
2009-11-07 v2
摘要
A theoretical formula for the probability density function (PDF) of velocity derivatives in a fully developed turbulent flow is derived with the multifractal aspect based on the generalized measures of entropy, i.e., the extensive Renyi entropy or the non-extensive Tsallis entropy, and is used, successfully, to analyze the PDF's observed in the direct numerical simulation (DNS) conducted by Gotoh et al.. The minimum length scale r_d/eta in the longitudinal (transverse) inertial range of the DNS is estimated to be r_d^L/eta = 1.716 (r_d^T/eta = 2.180) in the unit of the Kolmogorov scale eta.
引用
@article{arxiv.cond-mat/0201106,
title = {Analysis of Velocity Derivatives in Turbulence based on Generalized Statistics},
author = {N. Arimitsu and T. Arimitsu},
journal= {arXiv preprint arXiv:cond-mat/0201106},
year = {2009}
}
备注
6 pages, 1 figure