Theory of the Lattice Boltzmann Method: Lattice Boltzmann Models for Non-ideal Gases

Abstract

In this paper a procedure for systematic a priori derivation of the lattice Boltzmann models for non-ideal gases from the Enskog equation (the modified Boltzmann equation for dense gases) is presented. This treatment provides a unified theory of lattice Boltzmann models for non-ideal gases. The lattice Boltzmann equation is systematically obtained by discretizing the Enskog equation in phase space and time. The lattice Boltzmann model derived in this paper is thermodynamically consistent up to the order of discretization error. Existing lattice Boltzmann models for non-ideal gases are analyzed and compared in detail. Evaluation of these models are made in light of the general procedure to construct the lattice Boltzmann model for non-ideal gases presented in this work.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2001
Accession Number
ADA390008

Entities

People

  • Luo Li-shi

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boltzmann Equation
  • Complex Systems
  • Computational Fluid Dynamics
  • Construction
  • Dense Gases
  • Distribution Functions
  • Energy
  • Energy Transfer
  • Equations
  • Fluid Mechanics
  • Free Energy
  • Heat Transfer
  • Ideal Gas Law
  • Navier Stokes Equations
  • Relaxation Time
  • Surface Tension
  • Thermodynamics

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)

Technology Areas

  • Space