Universal continuous transition to turbulence in a planar shear flow

作者:Chantry Matthew; Tuckerman Laurette S; Barkley Dwight
来源:Journal of Fluid Mechanics, 2017, 824: R1.
DOI:10.1017/jfm.2017.405

摘要

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.

  • 出版日期2017-8
  • 单位中国科学院理论物理研究所