We present a fully-coupled, implicit-in-time framework for solving a thermodynamically-
consistent Cahn-Hilliard Navier-Stokes system that models two-phase flows. In this work, we …

In this paper, a hybrid lattice-Boltzmann finite-difference method is developed for the
simulation of ternary fluids near immersed solid objects of general shapes. The flow …

In this study, we establish a phase-field two-phase surfactant system using two conservative
Allen–Cahn type equations. Two nonlocal Lagrange multipliers are used to achieve the …

In this paper, we propose a dimensional lattice Boltzmann method (LBM) that numerically
solves the discrete lattice Boltzmann equation directly in physical units. This procedure …

A phase-field-based lattice Boltzmann model for ternary fluid flows is proposed, where the
conservative Allen-Cahn equation for ternary fluids is used to track the interface of fluids. A …

Two new control volume solvers multiFluidInterFoam and rheoMultiFluidInterFoam are
presented for the simulation of Newtonian and non-Newtonian n-phase flows (n≥ 2) …

In this work, an efficiently linear, totally decoupled, and unconditionally energy-stable time-
marching scheme is developed for solving the Cahn–Hilliard (CH) type phase-field …

To analyze the complex droplet transient deformation involving two immiscible phases, a
practical multi-interfacial tension model has been introduced in the SPH framework. The …

In this study, we present a novel Cahn–Hilliard–Navier–Stokes (CHNS) system with a
nonstandard variable mobility for two-phase incompressible fluid flow. Unlike the classical …

At equilibrium state of a two-phase fluid system, the chemical potential is constant and the
velocity vanishes. However, such equilibrium state usually cannot be captured by numerical …