title: Dimensional transition in rotating turbulence.
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.
authors.affiliation: DAMTP, Centre for Mathematical Sciences, Willbeforce Road, Cambridge CB3 0WA, United Kingdom and Linné Flow Centre, Department of Mechanics, Royal Institute of Technology, 10044 Stockholm, Sweden.
authors.forename: E
authors.initials: E
authors.lastname: Deusebio
authors.affiliation: Dipartimento di Fisica Generale and INFN, Università di Torino, via Pietro Giuria 1, 10125 Torino, Italy.
authors.forename: G
authors.initials: G
authors.lastname: Boffetta
authors.affiliation: Linné Flow Centre, Department of Mechanics, Royal Institute of Technology, 10044 Stockholm, Sweden.
authors.forename: E
authors.initials: E
authors.lastname: Lindborg
authors.affiliation: CNRS, Laboratoire J. A. Dieudonné UMR 6621, Parc Valrose, 06108 Nice, France.
authors.forename: S
authors.initials: S
authors.lastname: Musacchio
mesh_terms: D003198:Computer Simulation; D007700:Kinetics; D008962:Models, Theoretical; D012399:Rotation; D013997:Time Factors; D014783:Viscosity