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 …

We present a framework for devising discretely energy-stable schemes for general
dissipative systems based on a generalized auxiliary variable. The auxiliary variable, a …

In this paper a generalized conservative phase field-lattice Boltzmann model is proposed for
immiscible incompressible flows with any number of components. In this phase field model …

We study in this paper the accuracy and stability of partially and fully implicit schemes for
phase field modeling. Through theoretical and numerical analysis of Allen–Cahn and Cahn …

We present a reduction-consistent and thermodynamically consistent formulation and an
associated numerical algorithm for simulating the dynamics of an isothermal mixture …

In the present work, we propose a consistent and conservative model for multiphase and
multicomponent incompressible flows, where there can be arbitrary numbers of phases and …

In the present study, a consistent and conservative Phase-Field method, including both the
model and scheme, is developed for multiphase flows with an arbitrary number of immiscible …

In this paper, we develop a reduction-consistent conservative phase-field method for
interface-capturing among N (N≥ 2) immiscible fluids, which is governed by conservative …

In this paper, a generalized conservative phase-field simplified lattice Boltzmann method is
proposed, which is suitable for both miscible and immiscible ternary flow problems. This …

In this paper, we develop a conservative phase-field method for interface-capturing among
N (N≥ 2) immiscible fluids, the evolution of the fluid-fluid interface is captured by …