A lattice gas automaton approach to "turbulent diffusion"

Jean Pierre Boon, Eric Vanden Eijnden, David Hanon

Research output: Contribution to journalArticle

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
StatePublished - 2000

Fingerprint

Lattice Gas Automata
Turbulent Diffusion
turbulent diffusion
tracers
gases
Automata
trajectories
Trajectory
Superdiffusion
Phase Plane
Streamlines
inoculation
Aspect Ratio
dynamical systems
Forcing
Reynolds number
Analogy
aspect ratio
universe
Dynamical system

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics

Cite this

A lattice gas automaton approach to "turbulent diffusion". / Boon, Jean Pierre; Vanden Eijnden, Eric; Hanon, David.

In: Chaos, Solitons and Fractals, Vol. 11, No. 1-3, 2000, p. 187-192.

Research output: Contribution to journalArticle

Boon, Jean Pierre ; Vanden Eijnden, Eric ; Hanon, David. / A lattice gas automaton approach to "turbulent diffusion". In: Chaos, Solitons and Fractals. 2000 ; Vol. 11, No. 1-3. pp. 187-192.
@article{ac0a7d7170a94682a2f76df02dae2b81,
title = "A lattice gas automaton approach to {"}turbulent diffusion{"}",
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.",
author = "Boon, {Jean Pierre} and {Vanden Eijnden}, Eric and David Hanon",
year = "2000",
language = "English (US)",
volume = "11",
pages = "187--192",
journal = "Chaos, Solitons and Fractals",
issn = "0960-0779",
publisher = "Elsevier Limited",
number = "1-3",

}

TY - JOUR

T1 - A lattice gas automaton approach to "turbulent diffusion"

AU - Boon, Jean Pierre

AU - Vanden Eijnden, Eric

AU - Hanon, David

PY - 2000

Y1 - 2000

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0033929346&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033929346&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0033929346

VL - 11

SP - 187

EP - 192

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

SN - 0960-0779

IS - 1-3

ER -