A multi-species material point method with a mixture model

The material point method (MPM) has attracted more and more attention in computer graphics. It is very successful in simulating both fluid flow and solid deformation, but may fail in simulating multiple fluids and solids coupling. We propose a unified MPM solver for multi-species simulations. Compared to traditional MPM, we extend the degree of freedom on background grid to store information of multiple materials, so that our framework is able to deal with multiple materials well. The proposed method leverages the advantages of MPM as a hybrid method. We introduce the mixture model into the framework, which was the most widely used for grid-based multi-fluid flows. This enables MPM to capture the interaction and relative motion, and animates complex and coupled fluids and solids in a unified manner. A series of experiments are presented to demonstrate effectiveness of our method.