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The Lattice-Boltzmann Method in Computational Fluid Mechanics

Lattice-Boltzmann metoda u numeričkoj mehanici fluida

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2016
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Authors
Horvat, Mirjana
Horvat, Zoltan
Rosić, Nikola
Zindović, Budo
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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.
Source:
Zbornik radova 4. međunarodne konferencije Savremena dostignuća u građevinarstvu 2016, 2016, 32, 709-720
Publisher:
  • Faculty Of Civil Engineering, Subotica
Note:
  • Zbornik radova Građevinskog fakulteta

DOI: 10.14415/konferencijaGFS2016.072

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URI
http://grafar.grf.bg.ac.rs/handle/123456789/1471
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  • Radovi istraživača / Researcher's publications
  • Катедра за хидротехнику и водно-еколошко инжењерство
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