We implement a volume-of-fluid algorithm with a parabolic re-construction of the interface for the calculation of the surface tension force VOF-PROST). This achieves higher accuracy for drop deformation simulations in comparison with existing VOF methods based on a piecewise inear interface re-construction. The algorithm is formulated for the Giesekus constitutive law. The evolution of a drop s...

Volume Of Fluid (VOF) is one of the most powerful methods to resolve free surface ows. In this study, a new algorithm is developed in a curvilinear coordinate system, which implements an implicit pressure based method (SIMPLE) with a staggered grid and a Lagrangian propagation of the interface, using the VOF method in the computational domain. Based on this algorithm, a computer code is generat...

The Moment-of-Fluid(MoF)methodis an extension ofpopular Volume-ofFluid(VoF)techniquefor trackingmaterialinterfaceinmulti-materialfluidflows. VoFmethods trackthe cell-wise material volumes anduse these data for reconstructingtheinterfacesinmixedcell. TheMoFmethodgoes one stepfurther and, in additional to the volumes,keeps trackofthe cell-wise material centroids;this approachprovides sufficiently...

A two-dimensional liquid metal droplet moving into magnetic field gradient regions in a vacuum space in the absence of gravity has been simulated in VOF-CSF method. The general one-fluid VOF model for tracking free surfaces, and associated CSF model for applying surface tension to free surfaces are formulated. The calculations show us that the droplet encounters strong magnetohydrodynamics (MHD...

In this study the developed procedure of Advection in Volume of Fluid (VOF) method for free surface modeling is presented. Two-step projection method is implemented for solution of RANSE equations discretized by finite difference method on the staggered and Cartesian grids. Applying Youngs’ algorithm in staggered grids, assuming that fluid particles in the cell have the same velocity of the cel...

Two new volume-ofuid (VOF) reconstruction algorithms, which are based on a least-square t technique, are presented. Their performance is tested for several standard shapes and is compared to a few other VOF=PLIC reconstruction techniques, showing in general a better convergence rate. The geometric nature of Lagrangian and Eulerian split advection algorithms is investigated in detail and a new m...

We designed a new volume-conservative interface reconstruction method. An input data set for the interface reconstruction algorithm consists of volumes and centroids of the cell fractions occupied by different materials. Compared to pure volume fractions, traditionally used by volume-of-fluid (VoF) methods, this choice of the input data allows to define a linear interface approximation per mixe...