Physics-Based Simulation

Summary

We have extended our Elastic MPM Framework to simulate granular materials by incorporating Poisson-disk sampling, APIC transfers, Drucker-Prager elastoplasticity, and SDF-based frictional contact. The APIC scheme improves accuracy while maintaining stability by capturing local affine motion, and the Drucker-Prager model enables realistic plastic flow and pressure-dependent yielding. A static sphere collider is introduced using a signed distance function (SDF), allowing smooth and robust enforcement of contact and friction constraints. Together, these enhancements enable stable and physically plausible simulation of sand undergoing large deformation and splashing.