2011/05/31 by Samriddhi Sankar Ray, Dhrubaditya Mitra, Prasad Perlekar +1 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #Cascade #Classical mechanics #Direct numerical simulation #Drag #Eulerian path #Fluid Dynamics and Turbulent Flows #Lagrangian #Lagrangian coherent structures #Mathematical physics #Mechanics #Nonlinear Dynamics and Pattern Formation #Physics #Reynolds number #Statistical physics #Theoretical and Computational Physics #Turbulence #Vortex #Vorticity #nlin.CD #physics.flu-dyn
paper · pdf · doi:10.1103/physrevlett.107.184503
published as Phys. Rev. Lett. 107, 184503 (2011) · Published in Phys. Rev. Lett, Supplemental materials added as appendix
openalex publication_date 2011/10/26 · arxiv created 2012/11/23 · arxiv updated 2015/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We obtain, by extensive direct numerical simulations, time-dependent and equal-time structure functions for the vorticity, in both quasi-Lagrangian and Eulerian frames, for the direct-cascade regime in two-dimensional fluid turbulence with air-drag-induced friction. We show that different ways of extracting time scales from these time-dependent structure functions lead to different dynamic-multiscaling exponents, which are related to equal-time multiscaling exponents by different classes of bridge relations; for a representative value of the friction we verify that, given our error bars, these bridge relations hold.