Numerical models of surface tension play an increasingly important role in our capacity to
understand and predict a wide range of multiphase flow problems. The accuracy and …

This review concerns recent progress in primary atomization modeling. The numerical
approaches based on direct simulation are described first. Although direct numerical …

No time in human history has ever witnessed such explosive influence and impact of image
processing on modern society, sciences, and technologies. From nanotechnologies …

The effects of complex boundary conditions on flows are represented by a volume force in
the immersed boundary methods. The problem with this representation is that the volume …

A balanced force refined level set grid method for two-phase flows on structured and
unstructured flow solver grids is presented. To accurately track the phase interface location …

We introduce a new method for the numerical integration over curved surfaces and volumes
defined by a level set function. The method is based on the solution of a small linear system …

The aim of this paper is to provide a survey on the recent development in level set methods
in inverse problems and optimal design. We give introductions on the general features of …

A high-order accurate numerical quadrature algorithm is presented for the evaluation of
integrals over curved surfaces and volumes which are defined implicitly via a fixed …

This paper presents a methodology for simulation of two-phase flows with surface tension in
the framework of unstructured meshes, which combines volume-of-fluid with level-set …

This paper presents a formulation for free-surface computations capable of handling
complex phenomena, such as wave breaking, without excessive mass loss or smearing of …