Journal
COMPTES RENDUS MECANIQUE
Volume 344, Issue 6, Pages 448-455Publisher
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
DOI: 10.1016/j.crme.2015.12.005
Keywords
Fluid dynamics; Hydrodynamic stability; Transition to turbulence
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Funding
- PRES Universite de Toulouse [11050707]
- Region Midi-Pyrenees
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Travelling-wave solutions are shown to bifurcate from relative periodic orbits in plane Poiseuille flow at Re = 2000 in a saddle-node infinite-period bifurcation. These solutions consist in self-sustaining sinuous quasi-streamwise streaks and quasi-streamwise vortices located in the bulk of the flow. The lower branch travelling-wave solutions evolve into spanwise localized states when the spanwise size L-z of the domain in which they are computed is increased. On the contrary, the upper branch of travelling-wave solutions develops multiple streaks when L-z is increased. Upper-branch travelling-wave solutions can be continued into coherent solutions to the filtered equations used in large-eddy simulations where they represent turbulent coherent large-scale motions. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS.
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