@Article{AAMM-16-5,
author = {Yang, Xuguang and Zhang, Yuze},
title = {An Efficient Regularized Lattice Boltzmann Method to Solve Consistent and Conservative Phase Field Model for Simulating Incompressible Two-Phase Flows},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {5},
pages = {1277--1296},
abstract = {<p style="text-align: justify;">In this study, an efficient regularized lattice Boltzmann model aimed at solving the consistent and conservative phase-field model is developed. This model is
composed of the conservative Allen-Cahn equation, the momentum equation featuring a modified mass flux, and the associated consistency conditions. Consequently,
two distribution functions are introduced within the framework of the regularized lattice Boltzmann model: one dedicated to the conservative Allen-Cahn equation, and
the other designed for addressing the fluid dynamics equations. In order to accurately
recover the momentum equation and ensure the consistency of mass and momentum
transport, a simple force distribution function with a auxiliary term is incorporated
into the regularized lattice Boltzmann model. To assess the capabilities of the current regularized lattice Boltzmann model, simulations of various two-phase flow problems with substantial density ratios have been conducted, including layered Poiseuille
flow and spinodal decomposition. These simulations demonstrate excellent agreement
with previously published numerical results. Additionally, numerical investigations
into Rayleigh-Taylor instability indicate that the present regularized lattice Boltzmann
model can accurately and stably track interfaces with high precision.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2024-0021},
url = {https://global-sci.com/article/90888/an-efficient-regularized-lattice-boltzmann-method-to-solve-consistent-and-conservative-phase-field-model-for-simulating-incompressible-two-phase-flows}
}