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- W159607646 abstract "Most cellular automata intended to describe fluid motion simulate singlespeed particles moving on square or hexagonal lattices. In the latter case, twodimensional iow-Mach-number flows have been shown by Frisch et al. (Lattice Gas Automata for the Navier-Stokes Equation, Physics Review Letters, Vol. 56, 1986, pp. 1505-1508) to obey the Navier-Stokes equations for incompressible flow. These authors also discuss the various difficulties associated with the in particular, the restriction to low speeds. Furthermore, it is clear that with only one allowed molecular speed, temperature or energy cannot be specified independently of the velocity. d'Humie'res et al. (Lattice Gas Models for 3d Hydrodynamics, Europhysics Letters, Vol. 2, 1986, pp. 291-297) describe what appears to be the simplest multispeed model for flows in both two and three dimensions. The present paper describes the results of an exploratory investigation of heat conduction and shock-wave formation with the two-dimensional model. The irreversible macroscopic behavior of this microscopically reversible system is also examined. I. Cellular Automata The macroscopic behavior of a fluid near equilibrium is expected to be nearly independent of the details of the motion of the molecules that constitute it. For example, Iow-Mach-number flow of a gas and of a liquid are described by the same equations. This idea forms the basis for the cellular automaton (CA) simulation of fluids. The aim of this approach is to maximally simplify the molecular dynamics while retaining the essential physics. This simplification of the molecular dynamics involves a full discretization of phase space i.e., of both velocities and positions. This is in contrast with the discrete-velocity models, where only the velocity space is discretized, and Copyright © 1989 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved. *Research Assistant, Graduate Aeronautical Laboratories. tSenior Scientist, Graduate Aeronautical Laboratories. JProfessor, Graduate Aeronautical Laboratories." @default.
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- W159607646 date "1989-01-01" @default.
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- W159607646 title "Study of a multispeed cellular automation" @default.
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