▪ Abstract We review the development of diffuse-interface models of hydrodynamics and
their application to a wide variety of interfacial phenomena. These models have been …

The numerical simulation of flows with interfaces and free-surface flows is a vast topic, with
applications to domains as varied as environment, geophysics, engineering, and …

Direct numerical simulations of multiphase flows, using a front-tracking method, are
presented. The method is based on writing one set of governing equations for the whole …

Surface-tension-driven flows and, in particular, their tendency to decay spontaneously into
drops have long fascinated naturalists, the earliest systematic experiments dating back to …

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

Two-phase systems of microstructured complex fluids are an important class of engineering
materials. Their flow behaviour is interesting because of the coupling among three disparate …

Because of the importance of multiphase flows in a wide variety of industries, including
power, petroleum, and numerous processing industries, an understanding of the behavior …

We present a numerical method using the level set approach for solving incompressible two-
phase flow with surface tension. In the level set approach, the free surface is represented as …

A numerical method to simulate liquid–vapor phase change is presented. The method is
based on the so-called single field formulation where one set of equations for conservation …

Three-dimensional multiphase flow and flow with phase change are simulated using a
simplified method of tracking and reconstructing the phase interface. The new level contour …