THERMAL SCIENCE

International Scientific Journal

Édouard Walther

,

Rachid Bennacer

,

Caroline De Sa

LATTICE BOLTZMANN METHOD AND DIFFUSION IN MATERIALS WITH LARGE DIFFUSIVITY RATIOS

ABSTRACT
This work is centered on the safe usage of the lattice Boltzmann method for 2-D pure diffusion. The basics of the method for pure diffusion are first elucidated using a new definition given in the paper. The oscillating behavior and safe conditions of use are then explored in the case of homogeneous material as well as heterogeneous materials with circular and plane interfaces. As a conclusion, the range of valid relaxation factors is given for a correct use of lattice Boltzmann method.
KEYWORDS
lattice Boltzmann, diffusion, diffusivity ratio, oscillations, D2Q5, D2Q9
PAPER SUBMITTED: 2014-10-27
PAPER REVISED: 2016-04-30
PAPER ACCEPTED: 2016-06-21
PUBLISHED ONLINE: 2016-09-05
DOI REFERENCE: https://doi.org/10.2298/TSCI141027206W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Issue 3, PAGES [1173 - 1182]
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Lattice Boltzmann Method and diffusion in materials with large diffusivity ratios

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence