2006/07/01 by Wouter J. T. Bos, W. J. T. Bos, Jean-Pierre Bertoglio +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Closure (psychology) #Computational Fluid Dynamics and Aerodynamics #Equipartition theorem #Euler equations #Fluid Dynamics and Turbulent Flows #Inviscid flow #Kinetic energy #Navier-Stokes equation solutions #Range (aeronautics) #Turbulence #Turbulence kinetic energy #Wavenumber #physics.class-ph
paper · pdf · doi:10.1063/1.2219766
published as Physics of Fluids 18 (2006) 071701
openalex publication_date 2006/07/01 · arxiv created 2007/12/17 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The evolution of the turbulent energy spectrum for the inviscid spectrally truncated Euler equations is studied by closure calculations. The observed behavior is similar to the one found in direct numerical simulations [Cichowlas, Bonaïtiti, Debbasch, and Brachet, Phys. Rev. Lett. 95, 264502 (2005)]. A Kolmogorov spectral range and an equipartition range are observed simultaneously. Between these two ranges a “quasi-dissipative” zone is present in the kinetic energy spectrum. The time evolution of the wave number that marks the beginning of the equipartition range is analyzed and it is shown that spectral nonlocal interactions are governing this evolution.