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 …

A variety of numerical techniques are available for tracking moving interfaces. In this review,
we concentrate on techniques that result from the link between the partial differential …

A new algorithm for the volume tracking of interfaces in two dimensions is presented. The
algorithm is based upon a well-defined, second-order geometric solution of a volume …

Fast Marching Methods are numerical schemes for computing solutions to the nonlinear
Eikonal equation and related static Hamilton--Jacobi equations. Based on entropy-satisfying …

We introduce two new volume-of-fluid interface reconstruction algorithms and compare the
accuracy of these algorithms to four other widely used volume-of-fluid interface …

We present a numerical method for computing solutions of the incompressible Euler or
Navier–Stokes equations when a principal feature of the flow is the presence of an interface …

A simple coupled Volume of Fluid (VOF) with Level Set (LS) method (S-CLSVOF) for
improved surface tension implementation is proposed and tested by comparison against a …

A model has been developed allowing to simulate the flow boiling process of a hydrocarbon
feedstock. For the calculation of the different horizontal two-phase flow regimes that evolve …

We review recent work on level set methods for following the evolution of complex
interfaces. These techniques are based on solving initial value partial differential equations …

Solution algorithms are presented for tracking interfaces with piecewise linear (PLJQ volume-
of-fluid (VOF) methods on Eulerian grids (structured and unstructured) in two and three …