Lattice Boltzmann Equation on a 2D Rectangular Grid

Abstract

We construct a multi-relaxation lattice Boltzmann model on a two-dimensional rectangular grid. The model is partly inspired by a previous work of Koelman to construct a lattice BGK model on a two-dimensional rectangular grid. The linearized disperson equation is analyzed to obtain the constraints on the isotropy of the transport coefficients and Galilean in variance for various wave propagations in the model. The linear stability of the model is also studied. The model is numerically tested for three cases: (a) a vortex moving with a constant velocity on a mesh periodic boundary conditions: (b) Poiseuille flow with an arbitrary inclined angle with respect to the lattice orientation; and (c) a cylinder asymmetrically placed in a channel. The numerical results of these tests are compared with either analytic solutions or the results obtained by other methods. Satisfactory results are obtained for the numerical simulations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2002
Accession Number
ADA405396

Entities

People

  • Dominique D'humieres
  • Li-shi Luo
  • M'hamed Bouzidi
  • Pierre Lallemand

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustic Propagation
  • Acoustic Waves
  • Aspect Ratio
  • Boltzmann Equation
  • Boundaries
  • Classification
  • Computational Fluid Dynamics
  • Computational Science
  • Dispersions
  • Equations
  • Fluid Mechanics
  • Invariance
  • Momentum Transfer
  • Simulations
  • Transport Ships
  • Two Dimensional
  • Wave Propagation

Fields of Study

  • Mathematics
  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Fluid Dynamics.