Implicit incompressible SPH

We propose a novel formulation of the projection method for Smoothed Particle Hydrodynamics (SPH). We combine a symmetric SPH pressure force and an SPH discretization of the continuity equation to obtain a discretized form of the pressure Poisson equation (PPE). In contrast to previous projection sc...

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Veröffentlicht in:IEEE transactions on visualization and computer graphics. - 1998. - 20(2014), 3 vom: 13. März, Seite 426-35
1. Verfasser: Ihmsen, Markus (VerfasserIn)
Weitere Verfasser: Cornelis, Jens, Solenthaler, Barbara, Horvath, Christopher, Teschner, Matthias
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2014
Zugriff auf das übergeordnete Werk:IEEE transactions on visualization and computer graphics
Schlagworte:Journal Article
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520 |a We propose a novel formulation of the projection method for Smoothed Particle Hydrodynamics (SPH). We combine a symmetric SPH pressure force and an SPH discretization of the continuity equation to obtain a discretized form of the pressure Poisson equation (PPE). In contrast to previous projection schemes, our system does consider the actual computation of the pressure force. This incorporation improves the convergence rate of the solver. Furthermore, we propose to compute the density deviation based on velocities instead of positions as this formulation improves the robustness of the time-integration scheme. We show that our novel formulation outperforms previous projection schemes and state-of-the-art SPH methods. Large time steps and small density deviations of down to 0.01 percent can be handled in typical scenarios. The practical relevance of the approach is illustrated by scenarios with up to 40 million SPH particles 
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700 1 |a Cornelis, Jens  |e verfasserin  |4 aut 
700 1 |a Solenthaler, Barbara  |e verfasserin  |4 aut 
700 1 |a Horvath, Christopher  |e verfasserin  |4 aut 
700 1 |a Teschner, Matthias  |e verfasserin  |4 aut 
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