Investigations of the Motion of Discrete-Velocity Gases by Cellular Automata

Abstract

A model of molecular gasdynamics with discrete components of molecular velocity has been implemented for parallel computation, and two test problems have been calculated. It is shown that fewer than ten values of each component of molecular velocity are necessary to produce accurate results in calculations by direct-simulation Monte-Carlo methods of rarefied-gas flows involving moderately strong shock waves. Thus significant savings in memory required to store the molecular velocities are realized. Most cellular automata intended to describe fluid motion simulate single-speed particles moving on square or hexagonal lattices. It is clear that with only one allowed molecular speed, temperature or energy cannot be specified independently of the velocity. The present paper describes the results of an exploratory investigation of heat conduction and shock wave formation with the two-dimentional model. The irreversible macroscopic behavior of this microscopically reversible system is also examined. Keywords: Molecular gasdynamics; Direct simulation; Monte Carlo method; Cellular automata.

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Document Details

Document Type
Technical Report
Publication Date
Sep 02, 1988
Accession Number
ADA200221

Entities

People

  • Bradford Sturtevant
  • James E. Broadwell

Organizations

  • California Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Automata
  • Computational Science
  • Computer Programming
  • Computers
  • Differential Equations
  • Equations
  • Gas Flow
  • Mach Number
  • Monte Carlo Method
  • Navier Stokes Equations
  • Parallel Computing
  • Partial Differential Equations
  • Physics Laboratories
  • Shock Waves
  • Simulations
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.
  • Theoretical Analysis.