Binary fluid flows in irregular domains are common phenomena in natural and industrial
fields. To describe these physical processes, we herein present a novel fluid flow-coupled …

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 …

Starting from the phase-field perspective, we first formulate a novel wetting boundary
condition to describe the interactions among ternary fluids and a solid and then we propose …

In this study, we consider the numerical approximation of incompressible three-component
fluids, in which the fluid interfaces are captured by ternary Cahn–Hilliard equations and the …

In this paper, we propose a multiphase lattice Boltzmann model for numerical simulation of
ternary flows at high density and viscosity ratios free from spurious velocities. The proposed …

A lattice Boltzmann (LB) framework is developed for simulation of three-phase viscoelastic
fluid flows in complex geometries. This model is based on a Rothman-Keller type model for …

We present an explicit conservative Saul'yev finite difference scheme for the Cahn–Hilliard
(CH) equation, which models a phase separation phenomenon in binary alloys. The CH …

The free-energy model can extend the lattice Boltzmann method to multiphase systems.
However, there is a lack of models capable of simulating multicomponent multiphase fluids …

A simple direct heating thermal immersed boundary-lattice Boltzmann method for buoyancy-
driven incompressible flow with complex geometry boundaries is developed to simulate …

A lattice Boltzmann (LB) model is proposed to track the interface of binary fluid system based
on the conservative-form Allen-Cahn (AC) equation for phase field. Utilizing an equilibrium …