The volume-of-fluid (VOF) method is one of the most widely used formulations to simulate interfacial and free-surface flows (Scardovelli & Zaleski 1999). In this method, the interface evolution is implicitly tracked using a discrete function, F , whose value represents the volume fraction of the tagged fluid within a cell of the computational mesh. F is a discretized version of the fluid marker...

In this paper we compare the performance of different methods for reconstructing interfaces in multi-material compressible flow simulations. The methods compared are a material-order-dependent Volume-of-Fluid (VOF) method, a material-orderindependent VOF method based on power diagram partitioning of cells and the Moment-of-Fluid method (MOF). We demonstrate that the MOF method provides the most...

A novel volume-of-fluid method to simulate three-dimensional hexagonal solidification processes is presented. The Gibbs-Thomson temperature is calculated using the weighted mean curvature and a height function technique. This boundary condition is applied directly on the sharp interface. A geometric unsplit advection scheme is used to advance the interface to the next timestep. The phase change...

Additional to a behavior switching between solid-like and liquid-like, dense granular flows also present propagating grain size-dependent effects called non-local effects. Such behaviors cannot be efficiently modeled by standard rheologies such as µ( I )-rheology but have dealt with advanced models. Unfortunately, these models are still new used easily nor for various configurations. We propose...

The new Moment-of-Fluid (MoF) technique effectively overcomes the limitations of the VoF approach by utilizing more data: in addition to the volumes, the cell-wise material centroids (the first moments) are used. In [3] we presented the two-material MoF algorithm, which locates the linear interface in a mixed cell by minimizing the defect of the first moment over all the cell partitions that pr...

mixed convection of al 2 o 3 -water nanofluid in a square microcavity is investigated numerically. governing equations are discretized and solved using the finite volume method and simpler algorithm. the knudsen number is selected between 0.001 and 0.1 to consider slip velocity and the jump temperature boundary conditions. results showed that nusselt number is a function of richardson number, k...

in this paper, the interactions of flow over two circular or rectangular cylinders, passing by each other, have been investigated, using overset grids method. two-dimensional incompressible governing fluid flow equations are solved using finite volume method. in this research, several interpolation methods have been tested to transfer data between grids. one of them called mass flux base interp...

In this article, the instable fluid velocity in the pipes with internal nanofluid is studied. The fluid is mixed by SiO2, AL2O3, CuO and TiO2 nanoparticles in which the equivalent characteristic of nanofluid is calculated by rule of mixture. The force induced by the nanofluid is assumed in radial direction and is obtained by Navier-Stokes equation considering viscosity of nanofluid. The displac...