Mathematical Modeling and Analysis
We present a new method for interface reconstruction in multi-material flow simulations. The method introduces particles into mixed cells and uses an an attraction-repulsion model to draw particles of the same material type together. The interface is then reconstructed from the particles using a weighted Voronoi diagram or Power Diagram. The new method eliminates the material order dependence of the interface topology commonly seen in VOF reconstruction of three or more materials in a cell.