Complex Systems

Numerical Simulations of Hydrodynamics with Lattice Gas Automata in Two Dimensions Download PDF

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

Abstract

We present results of numerical simulations of the Frisch, Hasslacher, and Pomeau lattice gas model and of some of its variants. Equilibrium distributions and several linear and nonlinear hydrodynamics flows are presented. We show that interesting phenomena can be studied with this class of models, even for lattices of limited sizes.