### 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 language | English |
---|---|

Pages (from-to) | 1049-1060 |

Number of pages | 12 |

Journal | International Journal of Modern Physics C |

Volume | 15 |

Issue number | 8 |

DOIs | |

Publication status | Published - Oct 2004 |

### Fingerprint

### 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

*International Journal of Modern Physics C*,

*15*(8), 1049-1060. https://doi.org/10.1142/S0129183104006492

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

Research output: Contribution to journal › Article

*International Journal of Modern Physics C*, vol. 15, no. 8, pp. 1049-1060. https://doi.org/10.1142/S0129183104006492

}

TY - JOUR

T1 - On the system size of lattice Boltzmann simulations

AU - Mayer, Gusztáv

AU - Házi, G.

AU - Päles, József

AU - Imre, A.

AU - Fischer, Björn

AU - Kraska, Thomas

PY - 2004/10

Y1 - 2004/10

N2 - 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.

AB - 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.

KW - Interface

KW - Lattice Boltzmann method

KW - Liquid-vapor phase equilibrium

UR - http://www.scopus.com/inward/record.url?scp=8744282720&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=8744282720&partnerID=8YFLogxK

U2 - 10.1142/S0129183104006492

DO - 10.1142/S0129183104006492

M3 - Article

AN - SCOPUS:8744282720

VL - 15

SP - 1049

EP - 1060

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

SN - 0129-1831

IS - 8

ER -