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

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 …

In this article we consider finite element methods for approximating the solution of partial
differential equations on surfaces. We focus on surface finite elements on triangulated …

Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …

A method is presented to solve two-phase problems involving soluble surfactants. The
incompressible Navier–Stokes equations are solved along with equations for the bulk and …

We extend previous work and present a general approach for solving partial differential
equations in complex, stationary, or moving geometries with Dirichlet, Neumann, and Robin …

A finite-difference/front-tracking method is developed for computations of interfacial flows
with soluble surfactants. The method is designed to solve the evolution equations of the …

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 …

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 …

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