On the decay of turbulence in plane Couette flow

Abstract : The decay of turbulent and laminar oblique bands in the lower transitional range of plane Couette flow is studied by means of direct numerical simulations of the Navier-Stokes equations. We consider systems that are extended enough for several bands to exist, thanks to mild wall-normal under-resolution considered as a consistent and well-validated modelling strategy. We point out a two-stage process involving the rupture of a band followed by a slow regression of the fragments left. Previous approaches to turbulence decay in wall-bounded flows making use of the chaotic transient paradigm are reinterpreted within a spatiotemporal perspective in terms of large deviations of an underlying stochastic process.
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Paul Manneville. On the decay of turbulence in plane Couette flow. 13th European Turbulence Conference (ETC13), Sep 2011, Warsaw, Poland. pp.032014, ⟨10.1088/1742-6596/318/3/032014⟩. ⟨hal-01025976⟩

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