TY - JOUR
T1 - A lattice gas automaton approach to "turbulent diffusion"
AU - Boon, Jean Pierre
AU - Eijnden, Eric Vanden
AU - Hanon, David
N1 - Funding Information:
JPB acknowledges support by the Fonds National de la Recherche Scientifique (FNRS, Belgium). EVE was supported by the Association Euratom – Etat Belge (Belgium). DH has benefited from a grant from the Fonds pour la Formation à la Recherche dans l'Industrie et l'Agriculture (FRIA, Belgium).
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.
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U2 - 10.1016/S0960-0779(98)00282-3
DO - 10.1016/S0960-0779(98)00282-3
M3 - Article
AN - SCOPUS:0033929346
SN - 0960-0779
VL - 11
SP - 187
EP - 192
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 1-3
ER -