Cellular automaton fluids. I: Basic theory
type: Item
instance of: scholarly article
title: Cellular automaton fluids. I: Basic theory
zbMATH Open document ID: 0629.76002
DOI: 10.1007/BF01021083
author: Stephen Wolfram
published in: Journal of Statistical Physics
publication date: 1986-01-01T00:00:00Z
review text: Continuum equations are derived for the large-scale 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 Chapman-Enskog expansion. Slightly modified Navier-Stokes 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 Navier-Stokes order are given.
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 82D15
zbMATH DE Number: 4024961
zbMATH Keywords: cellular automata
zbMATH Keywords: large-scale behavior
zbMATH Keywords: cellular automaton models for fluids
zbMATH Keywords: molecular dynamics
zbMATH Keywords: Chapman-Enskog expansion
zbMATH Keywords: modified Navier- Stokes equations
zbMATH Keywords: Boltzmann transport equation approximation
Wikidata QID: Q56091628
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4024961