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arxiv: 0909.0530 · v1 · pith:QKEDEOTMnew · submitted 2009-09-02 · ⚛️ physics.flu-dyn

Localised edge states nucleate turbulence in extended plane Couette cells

classification ⚛️ physics.flu-dyn
keywords localiseddomainsstatesturbulenceturbulentcouettedirectionextended
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We study the turbulence transition of plane Couette flow in large domains where localised perturbations are observed to generate growing turbulent spots. Extending previous studies on the boundary between laminar and turbulent dynamics we determine invariant structures intermediate between laminar and turbulent flow. In wide but short domains we find states that are localised in spanwise direction, and in wide and long domains the states are also localised in downstream direction. These localised states act as critical nuclei for the transition to turbulence in spatially extended domains.

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