Scaling laws and vortex profiles in 2D decaying turbulence

Details Scaling laws and vortex profiles in 2D decaying turbulence Scaling laws and vortex profiles in 2D decaying turbulence

2000-05-26

arxiv.org/abs/cond-mat/0005468v1

Phys. Rev. E 63, 065301(R) (2001)

Physics

Condensed Matter

Statistical Mechanics

4 Latex pages and 4 figures. Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevE.63.065301

We use high resolution numerical simulations over several hundred of turnover times to study the influence of small scale dissipation onto vortex statistics in 2D decaying turbulence. A self-similar scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, as predicted by Carnevale et al., and it is observed that viscous effects spoil this scaling regime. This scaling regime shows some trends toward that of the Kirchhoff model, for which a recent theory predicts a decay exponent $\xi=1$. In terms of scaled variables, the vortices have a similar profile close to a Fermi-Dirac distribution.

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