On Higher Order Dynamics in Lattice-based Models Using Chapman-Enskog Method

Abstract

In this paper, we investigate the existence of higher order dynamics in lattice-based models. We have identified two conditions that determine whether a model would allow some Burnett-like equations when the Chapman-Enskog expansion is used. These two conditions are the member of the conserved quantities as well as the space and time discretization. We shall demonstrate these conditions by discussing (1) pure diffusion equation, and (2) hydrodynamic equations. While the fact that diffusion equation allows the higher order dynamics can be shown easily, we will illustrate that care must be taken when deriving Burnett-like equations for lattice-based hydrodynamics models using the Chapman-Enskog method.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1999
Accession Number
ADA365973

Entities

People

  • Ye Zhou
  • Yue-hong Qian

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Applied Mathematics
  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computers
  • Diffusion
  • Dispersion Relations
  • Dynamics
  • Engineering
  • Equations
  • Fluid Dynamics
  • Fluid Mechanics
  • Hydrodynamics
  • Knudsen Number
  • Navier Stokes Equations
  • New York
  • Physics Laboratories
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis

Technology Areas

  • Space