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

We review the flow of emulsion drops, focusing on recent work involving complex interfaces,
which may include the presence of surfactants, particles, surface-active polymers, or solid …

Volume-of-fluid (VOF) methods are popular for the direct numerical simulation of time-
dependent viscous incompressible flow of multiple liquids. As in any numerical method …

We present a new surface tension force formulation for a diffuse-interface model, which is
derived for incompressible, immiscible Navier–Stokes equations separated by free …

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 …

In this paper, we improve the multi-dimensional THINC (tangent of hyperbola for interface
capturing) scheme [F. Xiao, Y. Honma, T. Kono, A simple algebraic interface capturing …

An axisymmetric numerical method to simulate the dynamics of insoluble surfactant on a
moving liquid–fluid interface is presented. The motion of the interface is captured using a …

This work is motivated by the recent experimental development of microfluidic flow-focusing
devices that produce highly monodisperse simple or compound drops. Using finite elements …

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 …

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 …