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Scaling laws and vortex profiles in two-dimensional decaying turbulence

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2001
auteur(s) Laval Jean-Philippe; Chavanis Pierre Henry; Dubrulle Bérengère; Sire Clément
journal (abréviation) Physical Review E (Phys. Rev. E)
volume (numéro) 63
numéro de papier 065301
pages 1 – 4
résumé 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 scaling regime is detected when the scaling laws are expressed in units of mean vorticity and integral scale, like predicted in Carnevale et al., Phys. Rev. Lett. 66, 2735 (1991), and it is observed that viscous effects spoil this scaling regime. The exponent controlling the decay of the number of vortices shows some trends toward xi =1, in agreement with a recent theory based on the Kirchhoff model [C. Sire and P. H. Chavanis, Phys. Rev. E 61, 6644 (2000)]. In terms of scaled variables, the vortices have a similar profile with a functional form related to the Fermi-Dirac distribution.
mots clés turbulence, vortex, simulation
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