2011/04/30 by P. D. Mininni, D. Rosenberg, A. Pouquet · 2 citations
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Cascade #Dissipation #Energy cascade #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #Helicity #Inertial frame of reference #Reynolds number #Rossby number #Scale (ratio) #Sign (mathematics) #Solar and Space Plasma Dynamics #Turbulence #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1017/jfm.2012.99
13 pages, 6 figures
arxiv created 2012/03/01 · openalex publication_date 2012/04/13 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Abstract We present numerical evidence of how three-dimensionalization occurs at small scale in rotating turbulence with Beltrami ( ABC ) forcing, creating helical flow. The Zeman scale ℓ Ω 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 E and helicity H , and dissipation) each moderately resolved. These results stem from the analysis of a large direct numerical simulation on a grid of 30723 points, with Rossby and Reynolds numbers, respectively, equal to 0. 07 and 2. 7\ensuremath× 104 . At scales smaller than the forcing, a helical wave-modulated inertial law for the energy and helicity spectra is followed beyond ℓ Ω by Kolmogorov spectra for E and H . Looking at the two-dimensional slow manifold, we also show that the helicity spectrum breaks down at ℓ Ω , a clear sign of recovery of three-dimensionality in the small scales.