ABSTRACT
This chapter discusses the first series which considers models of fluids based on cellular automata whose microscopic rules give discrete approximations to molecular dynamics. It utilizes methods from kinetic theory to show that the macroscopic behavior of certain cellular automata corresponds to the standard Navier-Stokes equations for fluid flow. The chapter considers nonuniform fluids, and gives some approximate results for transport coefficients. It describes the derivation of kinetic and hydrodynamic equations for a particular sample cellular automaton fluid model. The chapter generalizes these results and discusses the basic symmetry conditions necessary to obtain standard hydrodynamic behavior. It discusses the solution of the Boltzmann transport equation for uniform cellular automaton fluids. The chapter describes a derivation of the general form of the hydrodynamic equations for a sample cellular automaton fluid model. It considers primarily an approximation method based on the Boltzmann transport equation.
