The Lattice-Boltzmann Method in Computational Fluid Mechanics
Lattice-Boltzmann metoda u numeričkoj mehanici fluida
Апстракт
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.
Извор:
Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 2016, 32, 709-720Издавач:
- Faculty Of Civil Engineering, Subotica
Напомена:
- Zbornik radova Građevinskog fakulteta
Колекције
Институција/група
GraFarTY - 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 . .