A SLIC–VOF Method Based on Unstructured Grid

In this paper, an interface reconstruction technology similar with SLIC method on structured grid is developed for the unstructured grid. For a cell containing the interface, a straight line segment parallel with one edge of the triangle cell is set to the interface according to the VOF function values in the three neighbor cells and volume flux of the particular fluid is determined by the geometry relation between the interface line and volume flux on each edge. Finally, four classical cases are used to test this unstructured SLIC–VOF interface reconstruction method including advection test of a right-angled triangle and a hollowed circle, Zalesak slotted disk rotation test as a test of scalar advection, and single-vortex shearing flow test, which are effective to test interface capturing method. It was found that the interface transported back by the reversed velocity field is comparative with SLIC–VOF on structure grid. Through the comparison between two triangle grids generated by Delaunay Triangulation Method and Bubble Packing Method, it is found that the grid quality has great effect on the proposed unstructured SLIC–VOF method. More regular triangle cells will lead to better interface capturing result.