Over the past few decades, tremendous progress has been made in the development of
particle-based discrete simulation methods versus the conventional continuum-based …

Two-phase flows are of great interest in natural and industrial applications such as rain
formation (Shaw 2003), breaking waves (Melville 1996), spray atomization (Sirignano 1999) …

Owing to its conceptual simplicity and computational efficiency, the pseudopotential
multiphase lattice Boltzmann (LB) model has attracted significant attention since its …

The complex flow modeling based on machine learning is becoming a promising way to
describe multiphase fluid systems. This work demonstrates how a physics-informed neural …

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 …

This article presents a comprehensive review of numerical methods and models for interface
resolving simulations of multiphase flows in microfluidics and micro process engineering …

A new diffuse interface model for a two-phase flow of two incompressible fluids with different
densities is introduced using methods from rational continuum mechanics. The model fulfills …

In this paper a conservative phase-field method based on the work of Sun and Beckermann
[Y. Sun, C. Beckermann, Sharp interface tracking using the phase-field equation, J. Comput …

In this paper we construct two classes, based on stabilization and convex splitting, of
decoupled, unconditionally energy stable schemes for Cahn--Hilliard phase-field models of …

A lattice Boltzmann equation (LBE) method for incompressible binary fluids is proposed to
model the contact line dynamics on partially wetting surfaces. Intermolecular interactions …