2017/04/30 by Matthew Chantry, Laurette S. Tuckerman, Dwight Barkley · 1 citation
Physics and Astronomy · #physics.flu-dyn
paper · pdf · doi:10.1017/jfm.2017.405
published as J. Fluid Mech. 824, R1 (2017)
arxiv created 2017/08/15 · arxiv updated 2017/08/16
We examine the onset of turbulence in Waleffe flow -- the planar shear flow between stress-free boundaries driven by a sinusoidal body force. By truncating the wall-normal representation to four modes, we are able to simulate system sizes an order of magnitude larger than any previously simulated, and thereby to attack the question of universality for a planar shear flow. We demonstrate that the equilibrium turbulence fraction increases continuously from zero above a critical Reynolds number and that statistics of the turbulent structures exhibit the power-law scalings of the (2+1)-D directed percolation universality class.