Theory for the single-point velocity statistics of fully developed turbulence

被引：7
|
作者：
Wilczek, M. [1 ]
Daitche, A. [1 ]
Friedrich, R. [1 ]
机构：
[1] Univ Munster, Inst Theoret Phys, D-48149 Munster, Germany
来源：
EPL | 2011年 / 93卷 / 03期
关键词：
D O I：
10.1209/0295-5075/93/34003
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the single-point velocity probability density function (PDF) in three-dimensional fully developed homogeneous isotropic turbulence within the framework of PDF equations focussing on deviations from Gaussianity. A joint analytical and numerical analysis shows that these deviations may be quantified studying correlations of dynamical quantities like pressure gradient, external forcing and energy dissipation with the velocity. A stationary solution for the PDF equation in terms of these quantities is presented, and the theory is validated with the help of direct numerical simulations indicating sub-Gaussian tails of the PDF. Copyright (C) EPLA, 2011
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页数：6
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