Universal continuous transition to turbulence in a planar shear flow
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Publication:4594115
DOI10.1017/JFM.2017.405zbMATH Open1374.76085arXiv1704.03567OpenAlexW3106421833MaRDI QIDQ4594115
Author name not available (Why is that?)
Publication date: 17 November 2017
Published in: (Search for Journal in Brave)
Abstract: 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.
Full work available at URL: https://arxiv.org/abs/1704.03567
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