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Lattice gas automata for fluid mechanics

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  • D'humières, D.
  • Lallemand, P.

Abstract

A lattice gas is the representation of a gas by its restriction on the nodes of a regular lattice for discrete time steps. It was recently shown by Frisch, Hasslacher and Pomeau that such very simple models lead to the incompressible Navier-Stokes equation provided the lattice has enough symmetry and the local rules for collisions between particles obey the usual conservation laws of classical mechanics. We present here recent results of numerical simulations to illustrate the power of this new approach to fluid mechanics which may give new tools for numerical studies and build a bridge between cellular automata theory and complex physical problems.

Suggested Citation

  • D'humières, D. & Lallemand, P., 1986. "Lattice gas automata for fluid mechanics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 326-335.
    • Handle: RePEc:eee:phsmap:v:140:y:1986:i:1:p:326-335
    DOI: 10.1016/0378-4371(86)90239-6
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    Cited by:

    1. Tim Loossens & Merijn Mestdagh & Egon Dejonckheere & Peter Kuppens & Francis Tuerlinckx & Stijn Verdonck, 2020. "The Affective Ising Model: A computational account of human affect dynamics," PLOS Computational Biology, Public Library of Science, vol. 16(5), pages 1-27, May.

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