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arXiv · 1011.3647

Vorticity statistics in the direct cascade of two-dimensional turbulence

Gregory Falkovich·Vladimir Lebedev·Mikhail Stepanov
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Abstract

For the steady-state direct cascade of two-dimensional Navier-Stokes turbulence, we derive analytically the probability of strong vorticity fluctuations. The probability density function (pdf) of the vorticity coarse-grained over a scale in the inertial interval is shown to have a universal self-similar form, in distinction from other known direct cascades. The tails of the pdf are found to be exponential.

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Gregory Falkovich, Vladimir Lebedev, Mikhail Stepanov. 2010-11-16. Vorticity statistics in the direct cascade of two-dimensional turbulence. https://doi.org/10.1103/physreve.83.045301

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