Incompressible Fluid Simulation and Advanced Surface Handlingwith Sph

Particle-based fluid simulations have become popular in computer graphics due to their natural ability to handle free surfaces and interfaces, splashes and droplets, as well as interaction with complex boundaries. However, particle methods have some disadvantageous properties degrading the physical behavior of a simulated fluid and thus the resulting visual quality. Although these problems are present in almost any particle-based fluid solver, this dissertation addresses some of the major problems of the Lagrangian method Smoothed Particle Hydrodynamics (SPH). This thesis starts by reviewing the standard SPH model and its difficulties to satisfy the incompressibility condition. In the standard model, liquids are typically approximated by compressible fluids where pressures are determined by an equation of state, resulting in undesired compression artifacts. Although incompressibility can be enforced, it represents the most expensive part of the whole simulation process and thus renders particle methods less attractive for high quality and photorealistic water animations. In this thesis, we present a novel, incompressible fluid simulation method based on SPH. In our method, incompressibility is enforced by using a prediction-correction scheme to determine the particle pressures. For this, the information about density fluctuations is actively propagated through the fluid and pressure values are updated until the targeted density is satisfied. With this approach, the costs per simulation update step can be held low while still being able to use large time steps in the simulation. Next, we shift our attention to the problem of complex interactions between multiple different fluids as well as between fluids and solids. We first focus on