Cellular automaton fluids 1: basic theory

Journal Article · Sat Nov 01 04:00:00 EST 1986 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01021083· OSTI ID:6652247

Wolfram, S

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 automation fluids beyond the Navier-Stokes order are given.

• Research Organization: Institute for Advanced Study, Princeton, NJ
• OSTI ID: 6652247
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 45:3/4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN EQUATION
CHAPMAN-ENSKOG THEORY
COLLISION INTEGRALS
COMPUTERIZED SIMULATION
CONSERVATION LAWS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
EQUATIONS
FLUID MECHANICS
FLUIDS
FUNCTIONS
HEXAGONAL LATTICES
HYDRODYNAMICS
INTEGRALS
KINETIC EQUATIONS
MATHEMATICAL MODELS
MECHANICS
NAVIER-STOKES EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
SIMULATION
STATISTICAL MECHANICS
TRANSPORT THEORY