“…Later, Ivey and Moin [37] and Jofre et al [38] implemented methods that use, like in the edge-matched flux polygon advection (EMFPA) method proposed by López et al [15] and following the suggestion made by Hernández et al [29], the velocities in cell vertices to construct flux regions in cell faces on 3D unstructured grids, minimizing overlaps between them and reducing bounding errors in the fluid volume fraction distribution. Very recently, Ngo et al [39] developed a similar geometric-unsplit VOF method coupled with a level set method and provided results on unstructured triangular and tetrahedral grids. Ivey and Moin [40] proposed the non-intersecting flux polyhedron advection (NIFPA) method that uses an iterative procedure to satisfy conservation and boundedness of the liquid volume fraction irrespective of the underlying flux polyhedron geometry on structured and unstructured grids.…”