The lattice-Boltzmann method (LBM) is a new method in computational fluid mechanics. While traditional numerical methods directly discretize and solve the macroscopic equations of fluid mechanics, the LBM solves а discrete kinetic equation that reproduces the equations of fluid mechanics in the macroscopic sense. This paper presents in some detail the concept of the distribution function which is essential for the LBM, the Boltzmann equation and the Chapman-Enskog expansion used to reproduce the macroscopic equations of fluid mechanics from the Boltzmann equation. The paper also presents the procedure used for discretizing the Bolzmann equation in velocity and physical space in order to obtain the lattice-Boltzmann equation.
Source:
Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 2016, 32, 709-720
TY - CONF
AU - Horvat, Mirjana
AU - Horvat, Zoltan
AU - Rosić, Nikola
AU - Zindović, Budo
PY - 2016
UR - https://grafar.grf.bg.ac.rs/handle/123456789/1471
AB - The lattice-Boltzmann method (LBM) is a new method in computational fluid mechanics. While traditional numerical methods directly discretize and solve the macroscopic equations of fluid mechanics, the LBM solves а discrete kinetic equation that reproduces the equations of fluid mechanics in the macroscopic sense. This paper presents in some detail the concept of the distribution function which is essential for the LBM, the Boltzmann equation and the Chapman-Enskog expansion used to reproduce the macroscopic equations of fluid mechanics from the Boltzmann equation. The paper also presents the procedure used for discretizing the Bolzmann equation in velocity and physical space in order to obtain the lattice-Boltzmann equation.
PB - Faculty Of Civil Engineering, Subotica
C3 - Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
T1 - The Lattice-Boltzmann Method in Computational Fluid Mechanics
T1 - Lattice-Boltzmann metoda u numeričkoj mehanici fluida
EP - 720
SP - 709
VL - 32
DO - 10.14415/konferencijaGFS2016.072
ER -
@conference{
author = "Horvat, Mirjana and Horvat, Zoltan and Rosić, Nikola and Zindović, Budo",
year = "2016",
abstract = "The lattice-Boltzmann method (LBM) is a new method in computational fluid mechanics. While traditional numerical methods directly discretize and solve the macroscopic equations of fluid mechanics, the LBM solves а discrete kinetic equation that reproduces the equations of fluid mechanics in the macroscopic sense. This paper presents in some detail the concept of the distribution function which is essential for the LBM, the Boltzmann equation and the Chapman-Enskog expansion used to reproduce the macroscopic equations of fluid mechanics from the Boltzmann equation. The paper also presents the procedure used for discretizing the Bolzmann equation in velocity and physical space in order to obtain the lattice-Boltzmann equation.",
publisher = "Faculty Of Civil Engineering, Subotica",
journal = "Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016",
title = "The Lattice-Boltzmann Method in Computational Fluid Mechanics, Lattice-Boltzmann metoda u numeričkoj mehanici fluida",
pages = "720-709",
volume = "32",
doi = "10.14415/konferencijaGFS2016.072"
}
Horvat, M., Horvat, Z., Rosić, N.,& Zindović, B.. (2016). The Lattice-Boltzmann Method in Computational Fluid Mechanics. in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016
Faculty Of Civil Engineering, Subotica., 32, 709-720.
https://doi.org/10.14415/konferencijaGFS2016.072
Horvat M, Horvat Z, Rosić N, Zindović B. The Lattice-Boltzmann Method in Computational Fluid Mechanics. in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016. 2016;32:709-720.
doi:10.14415/konferencijaGFS2016.072 .
Horvat, Mirjana, Horvat, Zoltan, Rosić, Nikola, Zindović, Budo, "The Lattice-Boltzmann Method in Computational Fluid Mechanics" in Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 32 (2016):709-720,
https://doi.org/10.14415/konferencijaGFS2016.072 . .
