2020/05/10 by Franck Plunian, Andrei Teimurazov, Rodion Stepanov +2 · 27 citations
Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Applied mathematics #Cascade #Energy cascade #Fluid Dynamics and Turbulent Flows #Geometry #Inverse #Inverse method #Mathematics #Mechanics #Physics #Solar and Space Plasma Dynamics #Turbulence #Turbulence kinetic energy #Wind and Air Flow Studies #physics.flu-dyn
paper · pdf · doi:10.1017/jfm.2020.307
published in Journal of Fluid Mechanics 895 (Cambridge University Press) · 13 pages, 10 figures
arxiv created 2020/05/10 · openalex publication_date 2020/05/18 · arxiv updated 2020/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using direct numerical simulation of hydrodynamic turbulence with helicity forcing applied at all scales, a near-maximum helical turbulent state is obtained, with an inverse energy cascade at scales larger than the energy forcing scale and a forward helicity cascade at scales smaller than the energy forcing scale. In contrast to previous studies using decimated triads, our simulations contain all possible triads. By computing the shell-to-shell energy fluxes, we show that the inverse energy cascade results from weakly non-local interactions among homochiral triads. Varying the helicity injection range of scales leads to necessary conditions to obtain an inverse energy cascade.