An efficient FLIP and shape matching coupled method for fluid–solid and two-phase fluid simulations

Solid dynamic deformation and multiphase fluid coupling driven by numerical simulation have manifested their significance for many graphics applications during the past 2 decades. For example, the fluid implicit particle (FLIP) method and shape matching constraint based on position-based dynamics (PBD) have demonstrated their unique graphics strength in fluid and solid animation, respectively. In this paper, we propose a novel integrated approach supporting the seamless unification of FLIP and dynamic shape matching. We devise new algorithms to tackle existing difficulties when handling new phenomena such as high-fidelity fluid–solid interactions, solid deformations, melting and immiscible fluid coupling. The key innovation of this paper is a unified Lagrangian framework that seamlessly blends FLIP- and PBD-based shape matching constraints toward the natural yet flexible coupling between fluid and deformable solid. Within our integrated framework, it enables many complicated fluid–solid phenomena with ease. We conduct various kinds of experiments, all the results demonstrate the advantages of our unified hybrid approach toward visual fidelity, computational efficiency, numerical stability, and application versatility.