Vorticity statistics in the direct cascade of two-dimensional turbulence

Details Vorticity statistics in the direct cascade of two-dimensional turbulence Vorticity statistics in the direct cascade of two-dimensional turbulence

2010-11-16

arxiv.org/abs/1011.3647v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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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