Statistics of Transverse Velocity Differences in Turbulence

1999/09/09 by Victor Yakhot, Yakhot, Victor
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #chao-dyn #nlin.CD

paper · pdf · doi:10.48550/arxiv.chao-dyn/9909017

13 pages, 2 figures

arxiv created 1999/09/09 · arxiv updated 2009/11/30

Abstract

An unusual symmetry of the equation for the generating function of transverse velocity differences Δv=v(x+r)-v(x) is used to obtain a closed equation for the probability density function P(Δv,r) in strong three-dimensional turbulence. It is shown that the terms, mixing longitudinal and transverse components of velocity field, dominate the pressure contributions. The dissipation terms are closed on qualitative grounds. The resulting equation gives the shape of the pdf, anomalous scaling exponents and amplitudes of the moments of transversevelocity differences.

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