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

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

2011-02-14

arxiv.org/abs/1102.2776v2

EPL, 93 (2011) 34003

Physics

Fluid Dynamics

6 pages, 4 figures, corrected typo in eq. (4)

Scientific paper

10.1209/0295-5075/93/34003

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.

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