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Title:
Numerical study of large-scale vorticity generation in shear-flow turbulence
Authors:
Käpylä, Petri J.; Mitra, Dhrubaditya; Brandenburg, Axel
Affiliation:
AA(Observatory, Tähtitorninmäki (PO Box 14), FI-00014 University of Helsinki, Helsinki, Finland), AB(Astronomy unit, School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London E1 4NS, United Kingdom), AC(NORDITA, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden)
Publication:
Physical Review E, vol. 79, Issue 1, id. 016302 (PhRvE Homepage)
Publication Date:
01/2009
Origin:
APS
DOI:
10.1103/PhysRevE.79.016302
Bibliographic Code:
2009PhRvE..79a6302K

Abstract

Simulations of stochastically forced shear-flow turbulence in a shearing-periodic domain are used to study the spontaneous generation of large-scale flow patterns in the direction perpendicular to the plane of the shear. Based on an analysis of the resulting large-scale velocity correlations it is argued that the mechanism behind this phenomenon could be the mean-vorticity dynamo effect pioneered by Elperin, Kleeorin, and Rogachevskii [Phys. Rev. E 68, 016311 (2003)]. This effect is based on the anisotropy of the eddy viscosity tensor. One of its components may be able to replenish cross-stream mean flows by acting upon the streamwise component of the mean flow. Shear, in turn, closes the loop by acting upon the cross-stream mean flow to produce stronger streamwise mean flows. The diagonal component of the eddy viscosity is found to be of the order of the rms turbulent velocity divided by the wave number of the energy-carrying eddies.
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