2013/06/04 by Ernesto Horne, E. Horne, Pablo D. Mininni +3
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Geomagnetism and Paleomagnetism Studies #Solar and Space Plasma Dynamics #physics.flu-dyn
paper · pdf · doi:10.48550/arxiv.1306.0853
9 pages, 5 figures
arxiv created 2013/06/04 · openalex publication_date 2013/06/04 · arxiv updated 2013/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study sign changes and scaling laws in the Cartesian components of the velocity and vorticity of rotating turbulence, in the helicity, and in the components of vertically-averaged fields. Data for the analysis is provided by high-resolution direct numerical simulations of rotating turbulence with different forcing functions, with up to 15363 grid points, with Reynolds numbers between ~1100 and ~5100, and with moderate Rossby numbers between ~0.06 and ~8. When rotation is negligible, all Cartesian components of the velocity show similar scaling, in agreement with the expected isotropy of the flow. However, in the presence of rotation only the vertical components of the fields show clear scaling laws, with evidence of possible sign singularity in the limit of infinite Reynolds number. Horizontal components of the velocity are smooth and do not display rapid fluctuations for arbitrarily small scales. The vertical velocity and vorticity, as well as the vertically-averaged vertical velocity and vorticity, show the same scaling within error bars, in agreement with theories that predict that these quantities have the same dynamical equation for very strong rotation.