Self-organization and transition to turbulence in isotropic fluid motion driven by negative damping at low wavenumbers

W D McComb, M F Linkmann, A Berera, S R Yoffe, B Jankauskas

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6 Citations (Scopus)
128 Downloads (Pure)

Abstract

We observe a symmetry-breaking transition from a turbulent to a self-organized state in direct numerical simulation of the Navier-Stokes equation at very low Reynolds number. In this self-organised state the kinetic energy is contained only in modes at the lowest resolved wavenumber, the skewness vanishes, and visualization of the flows shows a lack of small-scale structure, with the vorticity and velocity vectors becoming aligned (a Beltrami flow).
Original languageEnglish
Article number25FT01
Number of pages7
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number25
Early online date5 Jun 2015
DOIs
Publication statusPublished - 26 Jun 2015

Keywords

  • navier-stokes equations
  • flow visualisation
  • flow imaging
  • turbulence

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