Integer Lattice Gases

Abstract

We generalize the hydrodynamic lattice gas model to include arbitrary numbers of particles moving in each lattice direction. For this generalization we derive the equilibrium distribution function and the hydrodynamic equations, including the equation of state and the prefactor of the inertial term that arises from the breaking of galilean invariance in these models. We show that this prefactor can be set to unity in the generalized model, therby effectively restoring galilean invariance. Moreover, we derive an expression for the kinematic viscosity, and show that it tends to decrease with the maximum number of particles allowed in each direction, so that higher Reynolds numbers may be achieved. Finally, we derive expressions for the statistical noise and the Boltzmann entropy of these models.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1997
Accession Number
ADA437299

Entities

People

  • Bruce M. Boghosian
  • Francis J. Alexander
  • Jeffrey Yepez
  • Norman H. Margolus

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Science
  • Computer Simulations
  • Distribution Functions
  • Equations
  • Fluid Dynamics
  • Hydrodynamics
  • Invariance
  • Mach Number
  • Mechanical Properties
  • Particles
  • Physics
  • Reynolds Number
  • Viscosity

Readers

  • Fluid Dynamics.
  • Plasma Physics / Magnetohydrodynamics
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms