TY - JOUR
TI - Lattice Boltzmann Method and diffusion in materials with large diffusivity ratios
AU - Walther Édouard
AU - Bennacer Rachid
AU - De Sa Caroline
JN - Thermal Science
PY - 2017
VL - 21
IS - 3
SP - 1173
EP - 1182
PT - Article
AB - 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.