On the system size of lattice Boltzmann simulations

Gusztáv Mayer, G. Házi, József Päles, A. Imre, Björn Fischer, Thomas Kraska

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

In lattice Boltzmann simulations particle groups - represented by scalar velocity distributions - are moved on a finite lattice. The size of these particle groups is not well-defined although it is crucial to assume that they should be big enough for using a continuous distribution. Here we propose to use the liquid-vapor interface as an internal yardstick to scale the system. Comparison with existing experimental data and with molecular dynamics simulation of Lennard-Jones-argon shows that the number of atoms located on one lattice site is in the order of few atoms. This contradicts the initial assumption concerning the number of particles in the group, therefore seems to raise some doubts about the applicability of the lattice Boltzmann method in certain problems whenever interfaces play important role arid ergodicity does not hold.

Original languageEnglish
Pages (from-to)1049-1060
Number of pages12
JournalInternational Journal of Modern Physics C
Volume15
Issue number8
DOIs
Publication statusPublished - Oct 2004

Fingerprint

Lattice Boltzmann
Atoms
Velocity distribution
Molecular dynamics
Argon
Interface Problems
Simulation
simulation
Lennard-Jones
Vapors
Lattice Boltzmann Method
Continuous Distributions
Velocity Distribution
Ergodicity
Molecular Dynamics Simulation
liquid-vapor interfaces
Well-defined
Computer simulation
Liquids
Scalar

Keywords

  • Interface
  • Lattice Boltzmann method
  • Liquid-vapor phase equilibrium

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Theory and Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On the system size of lattice Boltzmann simulations. / Mayer, Gusztáv; Házi, G.; Päles, József; Imre, A.; Fischer, Björn; Kraska, Thomas.

In: International Journal of Modern Physics C, Vol. 15, No. 8, 10.2004, p. 1049-1060.

Research output: Contribution to journalArticle

Mayer, Gusztáv ; Házi, G. ; Päles, József ; Imre, A. ; Fischer, Björn ; Kraska, Thomas. / On the system size of lattice Boltzmann simulations. In: International Journal of Modern Physics C. 2004 ; Vol. 15, No. 8. pp. 1049-1060.
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