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Persistence problem in two-dimensional fluid turbulence.

Prasad Perlekar1, Samriddhi Sankar Ray, Dhrubaditya Mitra

  • 1Department of Physics, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands. p.perlekar@tue.nl

Physical Review Letters
|March 17, 2011
PubMed
Summary
This summary is machine-generated.

We studied persistence in 2D fluid turbulence using the Okubo-Weiss parameter. Lagrangian particles in vortical regions show power-law persistence, unlike Eulerian measurements.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • Computational Physics

Background:

  • Understanding persistence phenomena in turbulent flows is crucial for predicting fluid behavior.
  • Distinguishing between vortical and extensional regions aids in analyzing turbulence dynamics.

Purpose of the Study:

  • To develop a framework for studying persistence in two-dimensional fluid turbulence.
  • To analyze the probability distribution functions (PDFs) of persistence times in vortical and extensional regions.

Main Methods:

  • Utilized the Okubo-Weiss parameter (Λ) to differentiate flow regions.
  • Employed direct numerical simulation of the 2D incompressible Navier-Stokes equation with Ekman friction.
  • Conducted both Eulerian and Lagrangian measurements.

Main Results:

  • Eulerian measurements showed exponential tails in persistence-time PDFs.
  • Lagrangian measurements in vortical regions revealed a power-law tail for persistence-time PDFs.
  • The exponent for the Lagrangian power-law tail was determined to be θ=2.9±0.2.

Conclusions:

  • The persistence behavior differs significantly between Eulerian and Lagrangian perspectives.
  • Lagrangian analysis provides deeper insights into the persistence of vortical structures in 2D turbulence.
  • The power-law tail observed in Lagrangian data suggests specific scaling properties of vortical region persistence.