In this paper, we present a brief overview of the phase-field-based lattice Boltzmann method
(LBM) that is a distinct and efficient numerical algorithm for multiphase flow problems. We …

Based on the phase-field theory, we present an improved lattice Boltzmann (LB) method for
simulating droplet dynamics with soluble surfactants. This method takes advantage of three …

In this work, we propose a novel phase-field model for the simulation of two-phase flows that
is accurate, conservative, bounded, and robust. The proposed model conserves the mass of …

In this paper, a novel lattice Boltzmann (LB) model based on the Allen-Cahn phase-field
theory is proposed for simulating axisymmetric multiphase flows. The most striking feature of …

This study constructs a new diffuse-domain (DD) lattice Boltzmann (LB) method for two-
phase flows in complex geometries. We first coupled the DD method with the consistent and …

Within the phase-field framework, we present an accurate and robust lattice Boltzmann (LB)
method for simulating contact-line motion of immiscible binary fluids on the solid substrate …

In this work we develop an improved phase-field based lattice Boltzmann (LB) method
where a hybrid Allen-Cahn equation (ACE) with a flexible weight instead of a global weight …

In this paper, a lattice Boltzmann model for the coupled Allen–Cahn–Navier–Stokes
equations in three dimensions is presented. Two equations are solved: one for the fluid …

In this paper, a phase-field method under the framework of discrete unified gas-kinetic
scheme (DUGKS) for incompressible multiphase fluid flows is proposed. Two kinetic models …

In this paper, a simple and accurate lattice Boltzmann (LB) model based on phase-field
theory is developed to study the two-phase electro-hydrodynamics flows. In this model, three …