Long-wavelength instability of coherent structures in plane Couette flow

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. © 2014 American Physical Society.


Published in:
Phys. Rev. E, 89, 4, 043008
Year:
2014
ISSN:
1539-3755
Laboratories:




 Record created 2015-12-07, last modified 2018-03-17


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