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ON THE SYSTEM SIZE OF LATTICE BOLTZMANN SIMULATIONS

GUSZTÁV MAYER

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

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GÁBOR HÁZI

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

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JÓZSEF PÁLES

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

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ATTILA R. IMRE

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

Corresponding author.

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BJÖRN FISCHER

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

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, and

THOMAS KRASKA

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

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https://doi.org/10.1142/S0129183104006492Cited by:6 (Source: Crossref)

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.

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