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Complexity of localised coherent structures in a boundary-layer flow

  • Taras KhapkoEmail author
  • Yohann Duguet
  • Tobias Kreilos
  • Philipp Schlatter
  • Bruno Eckhardt
  • Dan S. Henningson
Regular Article
Part of the following topical collections:
  1. Irreversible Dynamics: A topical issue dedicated to Paul Manneville

Abstract

We study numerically transitional coherent structures in a boundary-layer flow with homogeneous suction at the wall (the so-called asymptotic suction boundary layer ASBL). The dynamics restricted to the laminar-turbulent separatrix is investigated in a spanwise-extended domain that allows for robust localisation of all edge states. We work at fixed Reynolds number and study the edge states as a function of the streamwise period. We demonstrate the complex spatio-temporal dynamics of these localised states, which exhibits multistability and undergoes complex bifurcations leading from periodic to chaotic regimes. It is argued that in all regimes the dynamics restricted to the edge is essentially low-dimensional and non-extensive.

Graphical abstract

Keywords

Topical issue: Irreversible Dynamics: A topical issue dedicated to Paul Manneville 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Taras Khapko
    • 1
    • 2
    Email author
  • Yohann Duguet
    • 3
  • Tobias Kreilos
    • 4
    • 5
  • Philipp Schlatter
    • 1
    • 2
  • Bruno Eckhardt
    • 4
    • 6
  • Dan S. Henningson
    • 1
    • 2
  1. 1.KTH MechanicsLinné FLOW CentreStockholmSweden
  2. 2.Swedish e-Science Research Centre (SeRC)StockholmSweden
  3. 3.LIMSI-CNRS, UPR 3251Orsay CedexFrance
  4. 4.Fachbereich PhysikPhilipps-Universität MarburgMarburgGermany
  5. 5.Max Planck Institute for Dynamics and Self-OrganizationGöttingenGermany
  6. 6.J.M. BurgerscentrumDelft University of TechnologyDelftThe Netherlands

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