The concise review systematically summarises the state-of-the-art variants of Moving Least
Squares (MLS) method. MLS method is a mathematical tool which could render cogent …

We have presented a multiphase incompressible smoothed particle hydrodynamics method
with an improved interface treatment procedure. To demonstrate the effectiveness of the …

The Hermite radial basis functions (HRBF) implicits reconstruct an implicit function which
interpolates or approximates scattered multivariate Hermite data (ie unstructured points and …

This paper discusses the features and applications of interface tracking techniques for
modeling droplet-based microfluidics. The paper reviews the state of the art of methods for …

This paper proposes a comparison of four popular interface capturing methods: the volume
of fluid (VOF), the standard level set (SLS), the accurate conservative level set (ACLS) and …

In this paper we describe and evaluate a geometric mass‐preserving redistancing
procedure for the level set function on general structured grids. The proposed algorithm is …

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 …

Abstract A 3D ALE Finite Element Method is developed to study two-phase flow phenomena
using a new discretization method to compute the surface tension forces. The computational …

This paper presents a new variant of the volume-of-fluid (VOF) color function C advection
algorithm based on the piecewise linear interface construction (PLIC) method suitable for …

The effect of the scale used to compute the interfacial curvature on the prediction of dynamic
gas–liquid interfaces is investigated. A new interface curvature calculation methodology …