Vorticity statistics in the direct cascade of two-dimensional turbulence
Chaotic Dynamics
2015-05-20 v1
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.
Keywords
Cite
@article{arxiv.1011.3647,
title = {Vorticity statistics in the direct cascade of two-dimensional turbulence},
author = {Gregory Falkovich and Vladimir Lebedev and Mikhail Stepanov},
journal= {arXiv preprint arXiv:1011.3647},
year = {2015}
}