Atomization and evaporation processes have extensively existed in a variety of scientific and
engineering applications, such as, rain formation, spray cooling, and spray combustion in …

Gmsh is an open‐source 3‐D finite element grid generator with a build‐in CAD engine and
post‐processor. Its design goal is to provide a fast, light and user‐friendly meshing tool with …

A unified strategy for the higher‐order accurate integration of implicitly defined geometries is
proposed. The geometry is represented by a higher‐order level‐set function. The task is to …

An improvement to the classical finite element (FE) method is proposed. It is able to exactly
represent the geometry by means of the usual CAD description of the boundary with non …

In this study, quadratic element formulations (ie, ten-node tetrahedral elements and twelve-
node cohesive elements) are proposed to improve the computational accuracy of the three …

A numerical method for the simulation of three-dimensional incompressible two-phase flows
is presented. The proposed algorithm combines an implicit pressure stabilized finite element …

A novel numerical method for solving three-dimensional two phase flow problems is
presented. This method combines a quadrature free discontinuous Galerkin method for the …

An improved mass conserving level set method for detailed numerical simulations of liquid
atomization is developed to address the issue of mass loss in the existing level set method …

A quadrature free, Runge–Kutta discontinuous Galerkin method (QF-RK-DGM) is developed
to solve the level set equation written in a conservative form on two-and tri-dimensional …

In this contribution, a strategy is proposed for uncoupling geometrical description and
approximation with the X-FEM. The strategy is based on an uniform coarse mesh that …