In this article, we develop and analyze a novel fully discrete decoupled finite element
method to solve a flow-coupled ternary phase-field model for the system consisting of three …

In this article we consider the numerical modeling and simulation via the phase field
approach for coupled two-phase free flow and two-phase porous media flow of different …

We consider in this paper numerical approximations of a phase field model for two-phase
ferrofluids, which consists of the Navier--Stokes equations, the Cahn--Hilliard equation, the …

In this paper, we consider the numerical simulation of the binary fluid–surfactant phase field
model coupled with geometric curvature on the curved surface. By taking account of the …

In this paper, the discontinuous finite volume element method (DFVEM) is considered to
solve the Allen-Cahn equation which contains strong nonlinearity. The method is based on …

Abstract The Cahn-Hilliard phase-field model of two-phase incompressible flows, namely
the Cahn-Hilliard-Navier-Stokes (CH-NS) problem represents the fundamental building …

This paper is devoted to the analysis of an energy-stable discontinuous Galerkin algorithm
for solving the Cahn–Hilliard–Navier–Stokes equations within a decoupled splitting …

In this article, we first establish a new flow-coupled binary phase-field crystal model and
prove its energy law. Then by using some newly introduced variables, we reformulate this …

The design of numerical approximations of the Cahn-Hilliard model preserving the
maximum principle is a challenging problem, even more if considering additional transport …

In this paper, a “process-based” 3-phase model is applied to explore how multiphase fluid
flow behaviour in two non-uniform wettability systems, named weakly oil-wet (WOW) and …