Lattice boltzmann simulation of two-dimensional wall bounded turbulent flow

G. Házi, Gábor Tóth

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

This paper reports on a numerical study of two-dimensional decaying turbulence in a square domain with no-slip walls. The generation of strong small-scale vortices near the no-slip walls have been observed in the lattice Boltzmann simulations just like in earlier pseudospectral calculations. Due to these vortices the enstrophy is not a monotone decaying function of time. Considering a number of simulations and taking their ensemble average, we have found that the decay of enstrophy and that of the kinetic energy can be described well by power-laws. The exponents of these laws depend on the Reynolds number in a similar manner than was observed before in pseudospectral simulations. Considering the ensemble averaged 1D Fourier energy spectra calculated along the walls, we could not find a simple power-law, which fits well to the simulation data. These spectra change in time and reveal an exponent close to -3 in the intermediate and an exponent -5/3 at low wavenumbers. On the other hand, the two-dimensional energy spectra, which remain almost steady in the intermediate decay stage, show clear power-law behavior with exponent larger than -3 depending on the initial Reynolds number.

Original languageEnglish
Pages (from-to)669-680
Number of pages12
JournalInternational Journal of Modern Physics C
Volume21
Issue number5
DOIs
Publication statusPublished - May 2010

Fingerprint

Lattice Boltzmann
Turbulent Flow
turbulent flow
Turbulent flow
Vortex flow
Reynolds number
Exponent
exponents
Power Law
Energy Spectrum
Kinetic energy
Slip
vorticity
Vortex
Simulation
monotone functions
Ensemble
energy spectra
Turbulence
slip

Keywords

  • Lattice Boltzmann method
  • No-slip walls
  • Two-dimensional turbulence

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Lattice boltzmann simulation of two-dimensional wall bounded turbulent flow. / Házi, G.; Tóth, Gábor.

In: International Journal of Modern Physics C, Vol. 21, No. 5, 05.2010, p. 669-680.

Research output: Contribution to journalArticle

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