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Nonlocality of interaction of scales in the dynamics of 2D incompressible fluids

type de publication      article dans une revue internationale avec comité de lecture
date de publication 15-11-1999
auteur(s) Laval Jean-Philippe; Dubrulle Bérengère; Nazarenko Sergey V.
journal (abréviation) Physical Review Letters (Phys. Rev. Lett.)
volume (numéro) 83
  
pages 4061 – 4064
résumé In this letter, we use direct and hyperviscous numerical simulations to study the relative importance of different mechanisms of interaction of small and large scales in the dynamics of two dimensional incompressible fluids. Our study indicates that the dynamics of the small-scale vorticity is nearly passive and we argue that the feedback of the small scales onto the large-scale dynamics is only important for the part of the large-scale range which is adjacent or close to the small-scale range. Simulations of a reduced system, in which only dominant terms are retained in both the small-scale and the large-scale equations, is compared with the corresponding hyperviscous numerical simulation in three classical situations: decaying turbulence, forced turbulence, and vortex merging. Applications of our reduced system to the subgrid scale modeling are discussed.
mots clés Simulation, Turbulence, Model
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