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Localized edge states in the asymptotic suction boundary layer

Published online by Cambridge University Press:  07 February 2013

T. Khapko ,
T. Kreilos ,
P. Schlatter ,
Y. Duguet ,
B. Eckhardt  and
D. S. Henningson
T. Khapko*
Affiliation:
Linné FLOW Centre, KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
T. Kreilos
Affiliation:
Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany Max Planck Institute for Dynamics and Self-Organization, D-37077 Göttingen, Germany
P. Schlatter
Affiliation:
Linné FLOW Centre, KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
Y. Duguet
Affiliation:
LIMSI-CNRS, UPR 3251, Université Paris-Sud, F-91403, Orsay, France
B. Eckhardt
Affiliation:
Fachbereich Physik, Philipps-Universität Marburg, D-35032 Marburg, Germany J. M. Burgerscentrum, Delft University of Technology, NL-2628 CD Delft, The Netherlands
D. S. Henningson
Affiliation:
Linné FLOW Centre, KTH Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
*
†Email address for correspondence: [email protected]
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Abstract

The dynamics on the laminar–turbulent separatrix is investigated numerically for boundary-layer flows in the subcritical regime. Constant homogeneous suction is applied at the wall, resulting in a parallel asymptotic suction boundary layer (ASBL). When the numerical domain is sufficiently extended in the spanwise direction, the coherent structures found by edge tracking are invariably localized and their dynamics shows bursts that drive a remarkable regular or irregular spanwise dynamics. Depending on the parameters, the asymptotic dynamics on the edge can be either periodic in time or chaotic. A clear mechanism for the regeneration of streaks and streamwise vortices emerges in all cases and is investigated in detail.

JFM classification

Boundary Layers: Boundary Layers Instability: Instability Nonlinear Dynamical Systems: Nonlinear Dynamical Systems
Type
Rapids
Information
Journal of Fluid Mechanics , Volume 717 , 25 February 2013 , R6
Copyright
©2013 Cambridge University Press

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Khapko et al. supplementary movies

Three-dimensional visualisation of the left hopping edge state (L). Re = 500, box size (Lx,Ly,Lz)=(6π,15,50) (for details refer to figure 6 in the paper).

Download Khapko et al. supplementary movies(Video)
Video 9.7 MB

Khapko et al. supplementary movies

Three-dimensional visualisation of the left-right hopping edge state (LR). Re = 500, box size (Lx,Ly,Lz)=(6π,15,50) (for details refer to figure 6 in the paper).

Download Khapko et al. supplementary movies(Video)
Video 6.1 MB