ON THE SYSTEM SIZE OF LATTICE BOLTZMANN SIMULATIONS

Gusztáv Mayer (), Gábor Házi (), József Páles (), Attila R. Imre (), Björn Fischer () and Thomas Kraska ()
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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

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 08, 1049-1060

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.

Keywords: Lattice Boltzmann method; liquid–vapor phase equilibrium; interface (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104006492

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