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Related Experiment Videos

Decaying two-dimensional turbulence in a circular container.

Kai Schneider1, Marie Farge

  • 1LMSNM-CNRS & CMI, Université de Provence, Marseille, France. kschneid@cmi.univ-mrs.fr

Physical Review Letters
|December 31, 2005
PubMed
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Direct numerical simulations reveal that in 2D decaying turbulence, no-slip walls generate vortices that self-organize the flow. These vortices injected into the bulk flow help compensate for enstrophy dissipation, altering probability density functions.

Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Turbulence exhibits complex dynamics and self-organization phenomena.
  • Boundary layers significantly influence flow behavior, especially in confined geometries.

Purpose of the Study:

  • Investigate the formation of coherent vortices in 2D decaying turbulence.
  • Analyze the impact of viscous boundary layers on turbulence characteristics.
  • Understand the self-organization process and its effect on integral quantities.

Main Methods:

  • Direct numerical simulations (DNS) were employed.
  • Two-dimensional decaying turbulence was simulated in a circular container.
  • No-slip boundary conditions were applied.

Main Results:

Related Experiment Videos

  • Flow self-organizes into coherent vortices from random initial conditions.
  • No-slip walls produce vortices that are injected into the bulk flow.
  • Vortices injected from the wall help compensate for enstrophy dissipation.
  • Vorticity probability density function (PDF) transitions from Gaussian to exponential tails.
  • Pressure PDF becomes strongly skewed with negative exponential tails due to coherent vortices.

Conclusions:

  • Coherent vortex formation is a key self-organization mechanism in this turbulent flow.
  • Viscous boundary layers play a crucial role in sustaining turbulence characteristics by supplying vortices.
  • The observed PDF transitions indicate significant deviations from simple decay models.