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Discontinuous transition to spatiotemporal intermittency in plane Couette flow

Abstract : The plane Couette flow undergoes a globally sub-critical transition to turbulence. Turbulent spots generated by localized finite-amplitude perturbations evolve differently depending on the Reynolds number R. Below Ru sime 312 they decay rapidly; above Rc sime 323 a fraction of spots turns to sustained turbulent patches and an average turbulent fraction can be defined, that slowly increases with R. Lifetime histograms of patches quenched in the range Rin[Ru,Rc] display a well-defined exponentially decreasing tail. This behavior is reminiscent of the discontinuous transition to spatiotemporal chaos via spatiotemporal intermittency observed in certain two-dimensional lattices of coupled map.
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https://hal-cea.archives-ouvertes.fr/cea-01378779
Contributor : Dominique Girard <>
Submitted on : Monday, October 10, 2016 - 5:32:35 PM
Last modification on : Friday, March 5, 2021 - 3:07:29 PM

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S Bottin, François Daviaud, P. Manneville, Olivier Dauchot. Discontinuous transition to spatiotemporal intermittency in plane Couette flow. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 1998. ⟨cea-01378779⟩

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