TY - JOUR IS - 3 KW - Science & Technology KW - Technology KW - Computer Science KW - Software Engineering KW - Computer Science KW - Fluid simulation KW - smoothed particle hydrodynamics KW - divergence-free fluids KW - incompressibility KW - viscous fluids KW - implicit integration KW - SIMULATION KW - ANIMATION KW - LIQUIDS AV - public JF - IEEE Transactions on Visualization and Computer Graphics SN - 1941-0506 SP - 1193 ID - discovery10056699 N2 - In this paper we present a novel Smoothed Particle Hydrodynamics (SPH) method for the efficient and stable simulation of incompressible fluids. The most efficient SPH-based approaches enforce incompressibility either on position or velocity level. However, the continuity equation for incompressible flow demands to maintain a constant density and a divergence-free velocity field. We propose a combination of two novel implicit pressure solvers enforcing both a low volume compression as well as a divergence-free velocity field. While a compression-free fluid is essential for realistic physical behavior, a divergence-free velocity field drastically reduces the number of required solver iterations and increases the stability of the simulation significantly. Thanks to the improved stability, our method can handle larger time steps than previous approaches. This results in a substantial performance gain since the computationally expensive neighborhood search has to be performed less frequently. Moreover, we introduce a third optional implicit solver to simulate highly viscous fluids which seamlessly integrates into our solver framework. Our implicit viscosity solver produces realistic results while introducing almost no numerical damping. We demonstrate the efficiency, robustness and scalability of our method in a variety of complex simulations including scenarios with millions of turbulent particles or highly viscous materials. EP - 1206 A1 - Bender, J A1 - Koschier, D UR - http://dx.doi.org/10.1109/TVCG.2016.2578335 VL - 23 Y1 - 2017/03/01/ TI - Divergence-Free SPH for Incompressible and Viscous Fluids N1 - This version is the author accepted manuscript. For information on re-use, please refer to the publisher?s terms and conditions. PB - IEEE COMPUTER SOC ER -