An efficient interface capturing method for a large collection of interacting particles immersed in a fluid

We propose a numerical method to capture an arbitrary number of fluid/solid interfaces in a level-set framework, following the ideas introduced for image segmentation. Using only three label maps and two distance functions it is possible to get the distance between the closest cells and to apply the collision force whatever the number of cells is. Consequently, the method is very efficient when dealing with a large number of cells. Numerical simulations are performed in two- and three-dimensions under gravity force.