Invariant solutions of the filtered Navier-{S}tokes equations representative of large-scale motions in the asymptotic suction boundary layer flow - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2019

Invariant solutions of the filtered Navier-{S}tokes equations representative of large-scale motions in the asymptotic suction boundary layer flow

Résumé

The outer region in turbulent boundary layer flows is dominated by large-scale streaky motions with the dimensions in the order of the boundary layer thickness (see [1] as an example). Large-scale motions are shown to be self-sustained numerically by filtering the small scales in the Navier-Stokes equations, [2]. Moreover, it has been shown that these streaky motions can be captured by exact invariant solutions of the filtered Navier-Stokes equations, [2, 3]. We investigate the exact invariant solutions of the filtered Navier-Stokes equations representative of the large-scale structures in the asymptotic suction boundary layer flow (ASBL), which is the flow over a flat plate with a constant and homogeneous suction into the plate. In the figure, energy spectra of ASBL with and without damping the small scales, and a large-scale travelling wave solution are shown. Our results are the first exact invariant solutions of the filtered equations in the asymptotic suction boundary layer flow. These solutions are a step towards extending the emerging dynamical systems view of turbulence to the dynamics of the large-scale motions in the turbulent boundary layer flows.
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Dates et versions

hal-02868798 , version 1 (19-06-2020)

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  • HAL Id : hal-02868798 , version 1

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Sajjad Azimi, Carlo Cossu, Tobias M Schneider. Invariant solutions of the filtered Navier-{S}tokes equations representative of large-scale motions in the asymptotic suction boundary layer flow. 17th European Turbulence Conference, Politecnico di Torino, Sep 2019, Torino, Italy. ⟨hal-02868798⟩
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