Dimensional transition in rotating turbulence

E. Deusebio, G. Boffetta, E. Lindborg, and S. Musacchio
Phys. Rev. E 90, 023005 – Published 13 August 2014

Abstract

In this work we investigate, by means of direct numerical hyperviscous simulations, how rotation affects the bidimensionalization of a turbulent flow. We study a thin layer of fluid, forced by a two-dimensional forcing, within the framework of the “split cascade” in which the injected energy flows both to small scales (generating the direct cascade) and to large scale (to form the inverse cascade). It is shown that rotation reinforces the inverse cascade at the expense of the direct one, thus promoting bidimensionalization of the flow. This is achieved by a suppression of the enstrophy production at large scales. Nonetheless, we find that, in the range of rotation rates investigated, increasing the vertical size of the computational domain causes a reduction of the flux of the inverse cascade. Our results suggest that, even in rotating flows, the inverse cascade may eventually disappear when the vertical scale is sufficiently large with respect to the forcing scale. We also study how the split cascade and confinement influence the breaking of symmetry induced by rotation.

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  • Received 20 November 2013

DOI:https://doi.org/10.1103/PhysRevE.90.023005

©2014 American Physical Society

Authors & Affiliations

E. Deusebio1,2,*, G. Boffetta3, E. Lindborg2, and S. Musacchio4

  • 1DAMTP, Centre for Mathematical Sciences, Willbeforce Road, Cambridge CB3 0WA, United Kingdom
  • 2Linné Flow Centre, Department of Mechanics, Royal Institute of Technology, 10044 Stockholm, Sweden
  • 3Dipartimento di Fisica Generale and INFN, Università di Torino, via Pietro Giuria 1, 10125 Torino, Italy
  • 4CNRS, Laboratoire J. A. Dieudonné UMR 6621, Parc Valrose, 06108 Nice, France

  • *Corresponding author: deusebio@mech.kth.se

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Issue

Vol. 90, Iss. 2 — August 2014

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