The European Physical Journal B

, Volume 73, Issue 3, pp 447–453

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

Statistical and Nonlinear Physics


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.


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Niels Bohr International AcademyCopenhagen φDenmark
  2. 2.Niels Bohr InstituteCopenhagenDenmark
  3. 3.Department of Theoretical SciencesS.N. Bose National Centre for Basic Sciences, SaltlakeKolkataIndia

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