Cellular automaton fluids 1: Basic theory
Abstract
Continuum equations are derived for the largescale behavior of a class of cellular automaton models for fluids. The cellular automata are discrete analogues of molecular dynamics, in which particles with discrete velocities populate the links of a fixed array of sites. Kinetic equations for microscopic particle distributions are constructed. Hydrodynamic equations are then derived using the ChapmanEnskog expansion. Slightly modified NavierStokes equations are obtained in two and three dimensions with certain lattices. Viscosities and other transport coefficients are calculated using the Boltzmann transport equation approximation. Some corrections to the equations of motion for cellular automaton fluids beyond the NavierStokes order are given.
 Publication:

Journal of Statistical Physics
 Pub Date:
 November 1986
 DOI:
 10.1007/BF01021083
 Bibcode:
 1986JSP....45..471W
 Keywords:

 Cellular automata;
 derivation of hydrodynamics;
 molecular dynamics;
 kinetic theory;
 NavierStokes equations