Summary
We have explored the versatility of the Position-Based Dynamics Framework through various constraint types that enable simulation of diverse physical systems. Distance constraints provide cloth stretching and bending resistance, while unilateral inequality constraints handle contact and friction at the position level. Volume conservation constraints maintain incompressibility through tetrahedral and global volume preservation, and density constraints enable position-based fluid simulation with SPH-based kernels. Finally, continuum mechanics-based constraints bridge PBD with hyperelastic material models through strain energy formulations and direct strain component control. Together, these constraint types demonstrate PBD's unified approach to simulating cloth, fluids, soft bodies, and contact phenomena within a single, efficient framework.