On the Statistics of Small Scale Turbulence and its Universality

Details On the Statistics of Small Scale Turbulence and its Universality On the Statistics of Small Scale Turbulence and its Universality

1998-11-16

arxiv.org/abs/chao-dyn/9811019v1

Nonlinear Sciences

Chaotic Dynamics

9 pages, 3 figures

Scientific paper

We present a method how to estimate from experimental data of a turbulent velocity field the drift and the diffusion coefficient of a Fokker-Planck equation. It is shown that solutions of this Fokker-Planck equation reproduce with high accuracy the statistics of velocity increments in the inertial range. Using solutions with different initial conditions at large scales we show that they converge. This can be interpreted as a signature of the universality of small scale turbulence in the limit of large inertial ranges.

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