@Article{CiCP-13-1151,
author = {},
title = {Evaluation of Three Lattice Boltzmann Models for Particulate Flows},
journal = {Communications in Computational Physics},
year = {2013},
volume = {13},
number = {4},
pages = {1151--1172},
abstract = {<p style="text-align: justify;">A comparative study is conducted to evaluate three types of lattice Boltzmann equation (LBE) models for fluid flows with finite-sized particles, including the
lattice Bhatnagar-Gross-Krook (BGK) model, the model proposed by Ladd [Ladd AJC,
J. Fluid Mech., 271, 285-310 (1994); Ladd AJC, J. Fluid Mech., 271, 311-339 (1994)], and
the multiple-relaxation-time (MRT) model. The sedimentation of a circular particle in
a two-dimensional infinite channel under gravity is used as the first test problem. The
numerical results of the three LBE schemes are compared with the theoretical results
and existing data. It is found that all of the three LBE schemes yield reasonable results in general, although the BGK scheme and Ladd&#39;s scheme give some deviations
in some cases. Our results also show that the MRT scheme can achieve a better numerical stability than the other two schemes. Regarding the computational efficiency,
it is found that the BGK scheme is the most superior one, while the other two schemes
are nearly identical. We also observe that the MRT scheme can unequivocally reduce
the viscosity dependence of the wall correction factor in the simulations, which reveals
the superior robustness of the MRT scheme. The superiority of the MRT scheme over
the other two schemes is also confirmed by the simulation of the sedimentation of an
elliptical particle.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.160911.200412a},
url = {http://global-sci.org/intro/article_detail/cicp/7268.html}
}