Here, we review the basic concepts and applications of the phase-field-crystal (PFC)
method, which is one of the latest simulation methodologies in materials science for …

This review examines different stages of the coalescence process of liquid drops on a planar
interface under different conditions. Depending on the application, drops coalescence under …

In this paper, we review the recent development of phase-field models and their numerical
methods for multi-component fluid flows with interfacial phenomena. The models consist of a …

How to develop efficient numerical schemes while preserving energy stability at the discrete
level is challenging for the three-component Cahn–Hilliard phase-field model. In this paper …

This paper describes a novel numerical algorithm for simulating interfacial dynamics of non-
Newtonian fluids. The interface between two immiscible fluids is treated as a thin mixing …

In this note, we examine the implications of Cahn–Hilliard diffusion on mass conservation
when using a phase-field model for simulating two-phase flows. Even though the phase-field …

The Cahn–Hilliard model is increasingly often being used in combination with the
incompressible Navier–Stokes equation to describe unsteady binary fluids in a variety of …

We study the retraction and pinch-off of a liquid filament and the formation of drops by using
an energetic variational phase field model, which describes the motion of mixtures of two …

This work is motivated by the recent experimental development of microfluidic flow-focusing
devices that produce highly monodisperse simple or compound drops. Using finite elements …

The understanding of hydrodynamic forces around particles, drops, or bubbles moving in
Newtonian liquids is modestly mature. It is possible to obtain predictions of the attractive …