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Complexity of localised coherent structures in a boundary-layer flow

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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.

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Author information

Authors and Affiliations

  1. KTH Mechanics, Linné FLOW Centre, Osquars Backe 18, SE-100 44, Stockholm, Sweden

    Taras Khapko, Philipp Schlatter & Dan S. Henningson

  2. Swedish e-Science Research Centre (SeRC), Stockholm, Sweden

    Taras Khapko, Philipp Schlatter & Dan S. Henningson

  3. LIMSI-CNRS, UPR 3251, F-91403, Orsay Cedex, France

    Yohann Duguet

  4. Fachbereich Physik, Philipps-Universität Marburg, Renthof 6, D-35032, Marburg, Germany

    Tobias Kreilos & Bruno Eckhardt

  5. Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, D-37077, Göttingen, Germany

    Tobias Kreilos

  6. J.M. Burgerscentrum, Delft University of Technology, Mekelweg 2, NL-2628 CD, Delft, The Netherlands

    Bruno Eckhardt

Authors
  1. Taras Khapko
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  2. Yohann Duguet
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  3. Tobias Kreilos
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  4. Philipp Schlatter
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  5. Bruno Eckhardt
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  6. Dan S. Henningson
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Corresponding author

Correspondence to Taras Khapko.

Additional information

Contribution to the Topical Issue “Irreversible Dynamics: A topical issue dedicated to Paul Manneville” edited by Patrice Le Gal and Laurette S. Tuckerman.

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Khapko, T., Duguet, Y., Kreilos, T. et al. Complexity of localised coherent structures in a boundary-layer flow. Eur. Phys. J. E 37, 32 (2014). https://doi.org/10.1140/epje/i2014-14032-3

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  • DOI: https://doi.org/10.1140/epje/i2014-14032-3

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