A Material Point Method for Viscoelastic Fluids, Foams and Sponges
Daniel Ram, Theodore Gast, Chenfanfu Jiang, Craig Schroeder, Alexey Stomakhin, Joseph Teran, and Pirouz Kavehpour. 2015. A material point method for viscoelastic fluids, foams and sponges. In Proceedings of the 14th ACM SIGGRAPH / Eurographics Symposium on Computer Animation (SCA ’15). ACM, New York, NY, USA, 157-163. DOI=dx.doi.org/10.1145/2786784.2786798
We present a new Material Point Method (MPM) for simulating vis- coelastic fluids, foams and sponges. We design our discretization from the upper convected derivative terms in the evolution of the left Cauchy-Green elastic strain tensor. We combine this with an Oldroyd-B model for plastic flow in a complex viscoelastic fluid. While the Oldroyd-B model is traditionally used for viscoelastic fluids, we show that its interpretation as a plastic flow naturally allows us to simulate a wide range of complex material behav- iors. In order to do this, we provide a modification to the tradi- tional Oldroyd-B model that guarantees volume preserving plas- tic flows. Our plasticity model is remarkably simple (foregoing the need for the singular value decomposition (SVD) of stresses or strains). Lastly, we show that implicit time stepping can be achieved in a manner similar to [Stomakhin et al. 2013] and that this allows for high resolution simulations at practical simulation times.