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

doi:10.1088/1751-8113/48/25/25FT01

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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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 language	English
Article number	25FT01
Number of pages	7
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	48
Issue number	25
Early online date	5 Jun 2015
DOIs	https://doi.org/10.1088/1751-8113/48/25/25FT01
Publication status	Published - 26 Jun 2015

Keywords

navier-stokes equations
flow visualisation
flow imaging
turbulence

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

McComb-etal-JPAMT-2015-Self-organization-and-transition-to-turbulence-in-isotropic-fluid-motionFinal published version, 1.09 MBLicence: CC BY 4.0

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).",

keywords = "navier-stokes equations, flow visualisation, flow imaging, turbulence ",

author = "McComb, {W D} and Linkmann, {M F} and A Berera and Yoffe, {S R} and B Jankauskas",

note = "Data available online: http://dx.doi.org/10.7488/ds/250",

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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

SN - 1751-8113

VL - 48

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

IS - 25

M1 - 25FT01

ER -

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

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