A new volume of fluid method in three dimensions—Part I: Multidimensional advection method with face‐matched flux polyhedra

Abstract

SUMMARYA multidimensional advection scheme in 3D based on the use of face-matched flux polyhedra to integrate the volume fraction evolution equation is proposed. The algorithm tends to reduce the formation of 'over/undershoots' by alleviating the over/underlapping of flux polyhedra, thus diminishing the need to use local redistribution algorithms. The accuracy and efficiency of the proposed advection algorithm, which are analyzed using different tests with prescribed velocity field, compare well with other multidimensional advection methods proposed recently. The algorithm is also applied, in combination with a Navier-Stokes solver, to reproduce the impact of a water droplet falling through air on a pool of deep water. The interfacial curvature is calculated using a height-function technique with adaptive stencil adjustment, which provides improved accuracy in regions of low grid resolution. The comparison of the numerical results with experimental results shows a good degree of agreement.

A new volume of fluid method in three dimensions—Part II: Piecewise‐planar interface reconstruction with cubic‐Bézier fit

“…Then, the ability of the proposed method to handle interfaces that undergo large deformation is analyzed in two different flows with non-uniform vorticity. All the results are obtained using the multidimensional advection algorithm FMFPA-3D proposed by us in a companion paper [20]. The results are compared with those obtained with different reconstruction methods implemented in this work and with recent results available in the literature.…”

Height function interface reconstruction algorithm for the simulation of boiling flows

“…It only works with Cartesian grids. The algorithm implemented is a merge of Malik et al [6] and Hernandez et al [5] schemes. It follows a brief summary of the algorithm: 1.…”

“…VOF method is used to follow interface. Two different methods to reconstruct interface are compared: Youngs method [4] and Height Function (HF) method [5][6][7]. The comparison is carried out analyzing algorithms performances through standard test cases.…”

Spurious Current Suppression in VOF-CSF Simulation of Slug Flow through Small Channels

“…Horgue et al [29] suggested that the spurious current could be reduced by using the High-Resolution Interface Capturing (HRIC) scheme employed in FLUENT [30], although the interface is more diffusive and the liquid film becomes thicker with this approach compared with the Geo-Reconstruct scheme [31]. Magnini et al [23,24] coupled the VOF-CSF method with the Height Function method [32,33] for predicting the local surface shape to reduce spurious currents. A critical Capillary number exists below which these unphysical flows affect the simulation results.…”