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Complexity of localised coherent structures in a boundary-layer flow

2013/08/26 by Taras Khapko, Khapko, Taras, Yohann Duguet +9
Earth and Planetary Sciences · Engineering · Physics and Astronomy · #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Meteorological Phenomena and Simulations #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.1308.5531

Submitted to EPJ E Topical Issue: Irreversible Dynamics: A topical issue dedicated to Paul Manneville; added new section 3.5

openalex publication_date 2013/08/26 · arxiv created 2013/10/03 · arxiv updated 2013/10/04 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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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