Divergence-Free SPH for Incompressible and Viscous Fluids
| Autor: | Dan Koschier, Jan Bender |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Turbulence
Computer science 020207 software engineering 02 engineering and technology Mechanics Solver Computer Graphics and Computer-Aided Design Computational physics Divergence Physics::Fluid Dynamics Smoothed-particle hydrodynamics Viscosity Continuity equation Robustness (computer science) Incompressible flow Signal Processing 0202 electrical engineering electronic engineering information engineering Compressibility 020201 artificial intelligence & image processing Vector field Computer Vision and Pattern Recognition Software ComputingMethodologies_COMPUTERGRAPHICS |
| Zdroj: | IEEE Transactions on Visualization and Computer Graphics. 23:1193-1206 |
| ISSN: | 1077-2626 |
| DOI: | 10.1109/tvcg.2016.2578335 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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