A lattice gas automaton approach to "turbulent diffusion"

Jean Pierre Boon, Eric Vanden Eijnden, David Hanon

Research output: Contribution to journalArticlepeer-review

Abstract

A periodic Kolmogorov type flow is implemented in a lattice gas automaton. For given aspect ratios of the automaton universe and within a range of Reynolds number values, the averaged flow evolves towards a stationary two-dimensional ABC type flow. We show the analogy between the streamlines of the flow in the automaton and the phase plane trajectories of a dynamical system. In practice flows are commonly studied by seeding the fluid with suspended particles which play the role of passive tracers. Since an actual flow is time-dependent and has fluctuations, the tracers exhibit interesting intrinsic dynamics. When tracers are implemented in the automaton and their trajectories are followed, we find that the tracers displacements obey a diffusion law, with "super-diffusion"in the direction orthogonal to the direction of the initial forcing.

Original languageEnglish (US)
Pages (from-to)187-192
Number of pages6
JournalChaos, Solitons and Fractals
Volume11
Issue number1-3
DOIs
StatePublished - 2000

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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