Complex Systems

Numerical Experiments on Lattice Gases: Mixtures and Galilean Invariance Download PDF

Dominique d'Humières
Pierre Lallemand
Laboratoire de Physique de l'Ecole Normale Supérieure,
24 rue Lhomond, 75231 Paris Cedex 05, France

Geoffrey Searby
Laboratoire de recherche sur la combustion,
Centre de St Jérôme, 13397 Marseille Cedex 13, France


In this paper, we first describe an extension of the standard Frisch, Hasslacher, Pomeau hexagonal lattice gas to study reaction-diffusion problems. Some numerical results are presented. We then consider the question of Galilean invariance from an "experimental" point of view, showing cases where the standard model is inadequate. Finally, we introduce a way to cure the Galilean disease and present some results of simulations for a few typical cases.