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Etude asymptotique de la turbulence d'ondes en rotation

Abstract : The objective of this work is the description of the influence of a solid-body rotation on the structure of incompressible homogeneous turbulence. The results from the EDQNM spectral model are accurate in purely isotropic turbulence, but the spatial discretization becomes limitating in the anisotropic case. If the Rossby number is small, an asymptotic development in time is possible. The role played by the resonant surfaces being dominant, the new model leads to a closed integro-differential equation for the spectral kinetic energy. By a precise numerical treatment, a parallelized program gives quantitative results. The energy seems indeed to concentrate with time towards the plane perpendicular to the rotation vector. Moreover, the integrated spectra follows, in the inertial zone, a -3 slope law, resulting from the whole range of vectors. Therefore , there is no true two-dimensional structure, but the vectors that are close to the horizontal plane have a specific dynamical behavior.
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Contributor : Fabien Bellet <>
Submitted on : Monday, November 3, 2003 - 11:23:55 PM
Last modification on : Wednesday, July 8, 2020 - 12:42:05 PM
Long-term archiving on: : Friday, April 2, 2010 - 7:45:13 PM


  • HAL Id : tel-00003678, version 1


Fabien Bellet. Etude asymptotique de la turbulence d'ondes en rotation. Dynamique des Fluides [physics.flu-dyn]. Ecole Centrale de Lyon, 2003. Français. ⟨tel-00003678⟩



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