Purpose The purpose of this study is to perform a detailed review on the numerical modeling
of multiphase and multicomponent flows in microfluidic system using phase-field method …

We investigate the wetting condition for diffuse-interface methods in the simulation of two-
fluid flows with moving contact lines. A current method, which uses a surface-energy …

A numerical “macroscopic-scale” method for static (including hysteresis) and moving contact
lines for partially wetting liquids is presented. The numerical method is based on the …

Axisymmetric droplet spreading is investigated numerically at relatively large rates of
spreading, such that inertial effects become important. Results from two numerical methods …

Advances in pore-scale imaging (eg, μ-CT scanning), increasing availability of
computational resources, and recent developments in numerical algorithms have started …

This paper discusses the features and applications of interface tracking techniques for
modeling droplet-based microfluidics. The paper reviews the state of the art of methods for …

A surfactant-covered droplet on a solid surface subject to a three-dimensional shear flow is
studied using a lattice-Boltzmann and finite-difference hybrid method, which allows for the …

The deformation, movement and breakup of a wall-attached droplet subject to Couette flow
are systematically investigated using an enhanced lattice Boltzmann colour-gradient model …

We investigate the critical conditions for the onset of motion of a three-dimensional droplet
on a wall in shear flows at moderate Reynolds number. A diffuse-interface method is used …

In this paper, a semi-implicit finite element method is presented for the coupled Cahn–
Hilliard and Navier–Stokes equations with the generalized Navier boundary condition for the …