Computational methods have been extended recently to allow for the presence of moving
contact lines in simulated two-phase flows. The predictive capability offered by these …

Based on the phase-field theory, we present an improved lattice Boltzmann (LB) method for
simulating droplet dynamics with soluble surfactants. This method takes advantage of three …

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 …

A phase-field moving contact line model is presented for a two-phase system with soluble
surfactants. With the introduction of some scalar auxiliary variables, the original free energy …

Droplet dynamics on a solid substrate is significantly influenced by surfactants. It remains a
challenging task to model and simulate the moving contact line dynamics with soluble …

Turbulent flows laden with large, deformable drops are ubiquitous in nature and in a wide
range of industrial processes. Prediction of the interactions between drops, which deform …

Diffuse interface models for incompressible two‐phase flow with large density ratios are
tested on benchmark configurations for a two‐dimensional bubble rising in liquid columns …

Droplet dynamics in microfluidic applications is significantly influenced by surfactants. It
remains a research challenge to model and simulate droplet behaviour including …

In this work, we propose and test the validity of a modified Phase Field Method (PFM), which
is specifically developed for large scale simulations of turbulent flows with large and …

We propose a linear, fully decoupled, and energy stable finite difference scheme for solving
a phase-field surfactant fluid system. Inspired by the idea of multiple scalar auxiliary …