Joaquin Martinez Lopez

TL;DR: In this paper, a multidimensional advection algorithm based on the use of edge-matched flux polygons was proposed for tracking two-dimensional interfaces, and a spline-based reconstruction algorithm was used to integrate the volume fraction evolution equation, and the accuracy and efficiency of the proposed method were analyzed using different tests.

TL;DR: In this paper, the authors presented an improvement of the reconstruction method proposed by Lopez et al. for two-dimensional flows, which allows tracking fluid structures thinner than the cell size by allowing the interface to be represented in each cell by two non-contiguous linear segments.

TL;DR: A multidimensional advection scheme in 3D based on the use of face-matched flux polyhedra to integrate the volume fraction evolution equation is proposed in this article, which tends to reduce the formation of "over/underhoots" by alleviating the over/underlapping of flux polyhera, thus diminishing the need to use local redistribution algorithms.

TL;DR: In this paper, the impact outcome is characterized by a lifted thin film that moves horizontally on a thin air cushion with no ejection of secondary droplets from its rim, and it is found that viscosity promotes splashing and thin film lifting (for high and low Re numbers, respectively), whereas it inhibits the formation of secondary driplets from the rim of the lifted thin films for Re≲-1000.

TL;DR: The results obtained show that the proposed analytical method may be as much as three times faster than Brent's iterative method for local volume enforcement.