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

Research output: Contribution to journalArticle

6 Citations (Scopus)

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).
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

Fingerprint

Beltrami flow
Transition to Turbulence
skewness
Direct numerical simulation
low Reynolds number
Self-organization
Vorticity
direct numerical simulation
Kinetic energy
Navier-Stokes equation
vorticity
Navier Stokes equations
broken symmetry
Damping
Reynolds number
Turbulence
Visualization
kinetic energy
damping
turbulence

Keywords

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

Cite this

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title = "Self-organization and transition to turbulence in isotropic fluid motion driven by negative damping at low wavenumbers",
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).",
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Self-organization and transition to turbulence in isotropic fluid motion driven by negative damping at low wavenumbers. / McComb, W D; Linkmann, M F; Berera, A; Yoffe, S R; Jankauskas, B.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 48, No. 25, 25FT01, 26.06.2015.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Self-organization and transition to turbulence in isotropic fluid motion driven by negative damping at low wavenumbers

AU - McComb, W D

AU - Linkmann, M F

AU - Berera, A

AU - Yoffe, S R

AU - Jankauskas, B

N1 - Data available online: http://dx.doi.org/10.7488/ds/250

PY - 2015/6/26

Y1 - 2015/6/26

N2 - 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).

AB - 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).

KW - navier-stokes equations

KW - flow visualisation

KW - flow imaging

KW - turbulence

UR - http://dx.doi.org/10.7488/ds/250

U2 - 10.1088/1751-8113/48/25/25FT01

DO - 10.1088/1751-8113/48/25/25FT01

M3 - Article

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JO - Journal of Physics A: Mathematical and Theoretical

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JF - Journal of Physics A: Mathematical and Theoretical

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