CONFERENCE PROCEEDINGS
4th INTERNATIONAL CONFERENCE
CONTEMPORARY ACHIEVEMENTS IN CIVIL ENGINEERING 2016 , 2016.y., pp. 709-720
THE LATTICE-BOLTZMANN METHOD IN COMPUTATIONAL FLUID MECHANICS| |
 |
| DOI: 10.14415/konferencijaGFS 2016.072 |
| UDC: 532:519.6 |
| CC-BY-SA 4.0 license |
| Author : Horvat, Mirjana; Horvat, Zoltan; Rosić, Nikola; Zindović, Budo |
| |
| | Summary: |
| | 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. |
| |
| | Keywords: |
| | lattice-Boltzmann method, Chapman-Enskog expansion, computational fluid mechanics |
| |
| |
| |
