AFOSR Initiative Element: Lattice-Gas Automata and Lattice Boltzmann Methods as a Novel Parallel Computing Strategy

Abstract

We present a simple way to add an arbitrary equation of state to a automaton gas modelled in the lattice Boltzmann limit. As a way of interpreting the lattice Boltzmann equation we present a new derivation based on an automaton Hamiltonian and the Liouville equation. A convective-gradient term added to the LBE is shown to be a sufficient route for modeling hydrodynamic flow with a general equation of state. The method generalizes to multi-speed gases in three-dimensions.

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Document Details

Document Type
Technical Report
Publication Date
Mar 22, 1993
Accession Number
ADA421677

Entities

People

  • Jeffrey Yepez

Organizations

  • Phillips Laboratory

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Automata
  • Boltzmann Equation
  • Complex Systems
  • Computer Programming
  • Computers
  • Differential Equations
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Flow
  • Machines
  • Mathematical Models
  • Molecular Dynamics
  • Navier Stokes Equations
  • Parallel Computing
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.