It has been 25 years since Sulsky and her coworkers developed the first version of the
material point method (MPM): a quasi particle method to solve continuum mechanics …

Physics-based fluid simulation has played an increasingly important role in the computer
graphics community. Recent methods in this area have greatly improved the generation of …

In this paper, we introduce the Moving Least Squares Material Point Method (MLS-MPM).
MLS-MPM naturally leads to the formulation of Affine Particle-In-Cell (APIC)[Jiang et al …

Recent progress in deep learning is essentially based on a “big data for small tasks”
paradigm, under which massive amounts of data are used to train a classifier for a single …

We introduce Neural Flow Maps, a novel simulation method bridging the emerging
paradigm of implicit neural representations with fluid simulation based on the theory of flow …

This paper proposes novel and robust stabilization strategies for accurately modeling
incompressible fluid flow problems in the material point method (MPM). To address the …

Abstract Most existing Finite Element Method and the Material Point Method (FEM-MPM)
coupling is designed for explicit solvers. By contrast, implicit schemes offer the advantage of …

This paper proposes a new data‐driven approach to model detailed splashes for liquid
simulations with neural networks. Our model learns to generate small‐scale splash detail for …

The animation of delicate vortical structures of gas and liquids has been of great interest in
computer graphics. However, common velocity-based fluid solvers can damp the vortical …

We propose a novel Particle Flow Map (PFM) method to enable accurate long-range
advection for incompressible fluid simulation. The foundation of our method is the …