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

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Original languageEnglish
Article number25FT01
JournalJournal of Physics A: Mathematical and Theoretical
Issue number25
Publication statusPublished - 26 Jun 2015


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-organized 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).

    Research areas

  • isotropic turbulence, self-organization, transition to turbulence

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