On the dynamics of laminar-turbulent patterns in plane Couette flow
arXiv:1603.06139
Abstract
Plane Couette flow presents a regular oblique turbulent-laminar pattern over a wide range of Reynolds numbers R between the globally stable base flow profile at low R<R_g and a uniformly turbulent regime at sufficiently large R>R_t. The numerical simulations that we have performed on a pattern displaying a wavelength modulation show a relaxation of that modulation in agreement with what one would expect from a standard approach in terms of dissipative structures in extended geometry though the structuration develops on a turbulent background. Some consequences are discussed.
5 pages, 3 figures, in the Proceedings of the "Rencontre du Non-Lineaire 2016", Universite Paris-Diderot, 16-17 March, pp. 79-83. http://nonlineaire.univ-lille1.fr/SNL/comptes-rendus/2016/