Long-wavelength instability of coherent structures in plane Couette flow

Journal article (2014)
Department
Process and Energy (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2014 American Physical Society
DOI: https://doi.org/doi:10.1103/PhysRevE.89.043008
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Published Date

08-04-2014

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Source:

Physical Review E, 89, 2014

Faculty

Mechanical, Maritime and Materials Engineering

Department

Process and Energy

Abstract

We study the stability of coherent structures in plane Couette flow against long-wavelength perturbations in wide domains that cover several pairs of coherent structures. For one and two pairs of vortices, the states retain the stability properties of the small domains, but for three pairs new unstable modes are found. They are shown to be connected to bifurcations that break the translational symmetry and drive the coherent structures from the spanwise extended state to a modulated one that is a precursor to spanwise localized states. Tracking the stability of the orbits as functions of the spanwise wave length reveals a rich variety of additional bifurcations.

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