This article describes a Lagrangian finite element method that simulates the behavior of
liquids and solids in a unified framework. Local mesh improvement operations maintain a …

We present a multi-physics model for the approximation of the coupled system formed by the
heat equation and the Navier-Stokes equations with solidification and free surfaces. The …

In this paper we present a summary of numerical methods for solving free surface and two
fluid flow problems. We will focus the attention on level set formulations extensively used in …

We present a numerical model for the simulation of 3D sediment transport in a Newtonian
flow with free surfaces. The Navier–Stokes equations are coupled with the transport …

A two-grid approach to simulating dendritic growth in the solidification of pure metals is
presented. The approach is based on using a uniform Cartesian grid to solve the energy …

We present a numerical model for the simulation of 3D poly-dispersed sediment transport in
a Newtonian flow with free surfaces. The physical model is based on a mixture model for …

We present a numerical model for the approximation of multiphase flows with free surfaces
and strong interfacial effects. The model relies on the multiphase incompressible Navier …

This manuscript presents a moving mesh interface tracking procedure, with a novel
treatment for phase coupling. The new coupling strategy allows accurate predictions for the …

In this work two-phase compressible–incompressible flows are studied. In particular, the
possibility of driving the gas bubbles moving in a liquid towards a prescribed position is …

The numerical simulation of three-dimensional dam break flows is discussed. A non-
hydrostatic numerical model for free-surface flows is considered, which is based on the …