@Article{CiCP-26-1098,
author = {Lu , TaoYang , XuguangXiao , Fu and Wen , Tao},
title = {A Mass Conservative Lattice Boltzmann Model for Two-Phase Flows with Moving Contact Lines at High Density Ratio},
journal = {Communications in Computational Physics},
year = {2019},
volume = {26},
number = {4},
pages = {1098--1117},
abstract = {<p style="text-align: justify;">In this paper, a mass conservative lattice Boltzmann model (LBM) is proposed to simulate the two-phase flows with moving contact lines at high density ratio.
The proposed model consists of a phase field lattice Boltzmann equation (LBE) for
solving the conservative Allen-Cahn (A-C) equation, and a pressure evolution LBE
for solving the incompressible Navier-Stokes equations. In addition, a modified wall
boundary treatment scheme is developed to ensure the mass conservation. The wetting dynamics are treated by incorporating the cubic wall energy in the expression of
the total free energy. The current model is characterized by mass conservation, proper
treatment of wetting boundary and high density ratio. We applied the model on a series of numerical tests including equilibrium droplets on wetting surfaces, co-current
flow and a droplet moving by gravity along inclined wetting surfaces. Theoretical
analysis and experiments were conducted for model validation. The numerical results
show good performances on mass conservation even with a density contrast up to
1000. Furthermore, the results show that the moving contact line can be successfully
recovered, which proves that this model is applicable on the study of moving contact
line issue and further related applications.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0061},
url = {http://global-sci.org/intro/article_detail/cicp/13230.html}
}