Regional statistics in confined two-dimensional decaying turbulence

Gábor Házi, Gábor Tóth

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Two-dimensional decaying turbulence in a square container has been simulated using the lattice Boltzmann method. The probability density function (PDF) of the vorticity and the particle distribution functions have been determined at various regions of the domain. It is shown that, after the initial stage of decay, the regional area averaged enstrophy fluctuates strongly around a mean value in time. The ratio of the regional mean and the overall enstrophies increases monotonously with increasing distance from the wall. This function shows a similar shape to the axial mean velocity profile of turbulent channel flows. The PDF of the vorticity peaks at zero and is nearly symmetric considering the statistics in the overall domain. Approaching the wall, the PDFs become skewed owing to the boundary layer.

Original languageEnglish
Pages (from-to)2555-2564
Number of pages10
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume369
Issue number1945
DOIs
Publication statusPublished - Jun 28 2011

Keywords

  • Lattice Boltzmann method
  • Two-dimensional turbulence
  • Wall-bounded flow

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)
  • Physics and Astronomy(all)

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