Eur. Phys. J. B 73, 447-453 (2010)
https://doi.org/10.1140/epjb/e2010-00003-0

On two-dimensionalization of three-dimensional turbulence in shell models

¹ Niels Bohr International Academy, Blegdamsvej 17, 2100 Copenhagen φ, Denmark
² Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, Denmark
³ Department of Theoretical Sciences, S.N. Bose National Centre for Basic Sciences, Saltlake, 700098 Kolkata, India

Corresponding author: sagar@nbi.dk

Received: 19 November 2009
Published online: 15 January 2010

Abstract

Applying a modified version of the Gledzer-Ohkitani-Yamada (GOY) shell model, the signatures of so-called two-dimensionalization effect of three-dimensional incompressible, homogeneous, isotropic fully developed unforced turbulence have been studied and reproduced. Within the framework of shell models we have obtained the following results: (i) progressive steepening of the energy spectrum with increased strength of the rotation, and, (ii) depletion in the energy flux of the forward forward cascade, sometimes leading to an inverse cascade. The presence of extended self-similarity and self-similar PDFs for longitudinal velocity differences are also presented for the rotating 3D turbulence case.