TY - JOUR
T1 - Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows
AU - Liu , Xi
AU - Chai , Zhenhua
AU - Shi , Baochang
JO - Communications in Computational Physics
VL - 5
SP - 1346
EP - 1369
PY - 2021
DA - 2021/10
SN - 30
DO - http://doi.org/10.4208/cicp.OA-2021-0025
UR - https://global-sci.org/intro/article_detail/cicp/19932.html
KW - Phase field, axisymmetric lattice Boltzmann method, two-phase electro-hydrodynamic flows.
AB - <p style="text-align: justify;">In this work, a novel and simple phase-field-based lattice Boltzmann (LB)
method is proposed for the axisymmetric two-phase electro-hydrodynamic flows. The
present LB method is composed of three LB models, which are used to solve the axisymmetric Allen-Cahn equation for the phase field, the axisymmetric Poisson equation for the electric potential, and the axisymmetric Navier-Stokes equations for the
flow field. Compared with the previous LB models for the axisymmetric Poisson
equation, which can be viewed as the solvers to the convection-diffusion equation,
the present model is a genuine solver to the axisymmetric Poisson equation. To test
the capacity of the LB method, the deformation of a single leaky or perfect dielectric
drop under a uniform electric field is considered, and the effects of electric strength,
conductivity ratio, and permittivity ratio are investigated in detail. It is found that
the present numerical results are in good agreement with some available theoretical,
numerical and/or experimental data.</p>