@Article{CiCP-17-908,
author = {Liang Wang, Jianchun Mi, Xuhui Meng and Zhaoli Guo},
title = {A Localized Mass-Conserving Lattice Boltzmann Approach for Non-Newtonian Fluid Flows},
journal = {Communications in Computational Physics},
year = {2018},
volume = {17},
number = {4},
pages = {908--924},
abstract = {<p style="text-align: justify;">A mass-conserving lattice Boltzmann model based on the Bhatnagar-Gross-Krook
(BGK) model is proposed for non-Newtonian fluid flows. The equilibrium distribution
function includes the local shear rate related with the viscosity and a variable
parameter changing with the shear rate. With the additional parameter, the relaxation
time in the collision can be fixed invariable to the viscosity. Through the Chapman-Enskog
analysis, the macroscopic equations can be recovered from the present mass-conserving
model. Two flow problems are simulated to validate the present model
with a local computing scheme for the shear rate, and good agreement with analytical
solutions and/or other published results are obtained. The results also indicate that
the present modified model is more applicable to practical non-Newtonian fluid flows
owing to its better accuracy and more robustness than previous methods.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2014.m303},
url = {http://global-sci.org/intro/article_detail/cicp/10983.html}
}