Divergence-Free SPH for Incompressible and Viscous Fluids

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Divergence-Free SPH for Incompressible and Viscous Fluids

Bender, J; Koschier, D; (2017) Divergence-Free SPH for Incompressible and Viscous Fluids. IEEE Transactions on Visualization and Computer Graphics , 23 (3) pp. 1193-1206. 10.1109/TVCG.2016.2578335. Green open access

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Abstract

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.

Type:	Article
Title:	Divergence-Free SPH for Incompressible and Viscous Fluids
Location:	Los Angeles, CA
Open access status:	An open access version is available from UCL Discovery
DOI:	10.1109/TVCG.2016.2578335
Publisher version:	http://dx.doi.org/10.1109/TVCG.2016.2578335
Language:	English
Additional information:	This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords:	Science & Technology, Technology, Computer Science, Software Engineering, Computer Science, Fluid simulation, smoothed particle hydrodynamics, divergence-free fluids, incompressibility, viscous fluids, implicit integration, SIMULATION, ANIMATION, LIQUIDS
UCL classification:	UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
URI:	https://discovery.ucl.ac.uk/id/eprint/10056699