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

Abstract Geometrical Volume-of-Fluid (VoF) methods mainly support structured meshes, and
only a small number of contributions in the scientific literature report results with unstructured …

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 …

The Multiphase Flow Handbook, Second Edition is a thoroughly updated and reorganized
revision of the late Clayton Crowe's work, and provides a detailed look at the basic concepts …

In this article, we define a new evolving surface finite-element method for numerically
approximating partial differential equations on hypersurfaces Γ (t) in ℝ n+ 1 which evolve …

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 …

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 …

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 level-set method for the simulation of fluid interfaces with insoluble surfactant is presented
in two-dimensions. The method can be straightforwardly extended to three-dimensions and …