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Isotropization at small scales of rotating helically driven turbulence

Published online by Cambridge University Press:  13 April 2012

P. D. Mininni ,
D. Rosenberg  and
A. Pouquet
P. D. Mininni
Affiliation:
National Center for Atmospheric Research, PO Box 3000, Boulder, CO 80307, USA
D. Rosenberg
Affiliation:
National Center for Atmospheric Research, PO Box 3000, Boulder, CO 80307, USA
A. Pouquet*
Affiliation:
National Center for Atmospheric Research, PO Box 3000, Boulder, CO 80307, USA
*
†Email address for correspondence: [email protected]
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Abstract

We present numerical evidence of how three-dimensionalization occurs at small scale in rotating turbulence with Beltrami () forcing, creating helical flow. The Zeman scale at which the inertial and eddy turn-over times are equal is more than one order of magnitude larger than the dissipation scale, with the relevant domains (large-scale inverse cascade of energy, dual regime in the direct cascade of energy and helicity , and dissipation) each moderately resolved. These results stem from the analysis of a large direct numerical simulation on a grid of points, with Rossby and Reynolds numbers, respectively, equal to and . At scales smaller than the forcing, a helical wave-modulated inertial law for the energy and helicity spectra is followed beyond by Kolmogorov spectra for and . Looking at the two-dimensional slow manifold, we also show that the helicity spectrum breaks down at , a clear sign of recovery of three-dimensionality in the small scales.

JFM classification

Turbulent Flows: Isotropic turbulence Turbulent Flows: Rotating turbulence
Type
Papers
Information
Journal of Fluid Mechanics , Volume 699 , 25 May 2012 , pp. 263 - 279
Copyright
Copyright © Cambridge University Press 2012

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Footnotes

‡

Also at Departamento de Fí sica, Facultad de Ciencias Exactas y Naturales and IFIBA, CONICET, Ciudad Universitaria, 1428 Buenos Aires, Argentina.

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