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On The System Size Of Lattice Boltzmann Simulations

Author

Listed:
  • GUSZTÁV MAYER

    (Simulator Development Department, KFKI Atomic Energy Research Institute, H-1525 Budapest, POB 49, Hungary)

  • GÁBOR HÁZI

    (Simulator Development Department, KFKI Atomic Energy Research Institute, H-1525 Budapest, POB 49, Hungary)

  • JÓZSEF PÁLES

    (Simulator Development Department, KFKI Atomic Energy Research Institute, H-1525 Budapest, POB 49, Hungary)

  • ATTILA R. IMRE

    (Materials Department, KFKI Atomic Energy Research Institute, H-1525 Budapest, POB 49, Hungary)

  • BJÖRN FISCHER

    (Institut für Physikalische Chemie, Universität zu Köln, Luxemburger Str. 116, D-50939 Köln, Germany)

  • THOMAS KRASKA

    (Institut für Physikalische Chemie, Universität zu Köln, Luxemburger Str. 116, D-50939 Köln, Germany)

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 and ergodicity does not hold.

Suggested Citation

  • Gusztáv Mayer & Gábor Házi & József Páles & Attila R. Imre & Björn Fischer & Thomas Kraska, 2004. "On The System Size Of Lattice Boltzmann Simulations," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(08), pages 1049-1060.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:08:n:s0129183104006492
    DOI: 10.1142/S0129183104006492
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