An Efficient Hybrid Incompressible SPH Solver with Interface Handling for Boundary Conditions

Tetsuya Takahashi^1,2 Yoshinori Dobashi^3,2 Tomoyuki Nishita^2,4 Ming C. Lin¹

¹The University of North Carolina at Chapel Hill, USA
²UEI Research, Japan
³Hokkaido University, Japan
⁴Hiroshima Shudo University, Japan

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ABSTRACT

We propose a hybrid Smoothed Particle Hydrodynamics solver for efficiently simulating incompressible fluids using an interface handling method for boundary conditions in the pressure Poisson equation. We blend particle density computed with one smooth and one spiky kernel to improve the robustness against both fluid-fluid and fluid-solid collisions. To further improve the robustness and efficiency, we present a new interface handling method consisting of two components: free surface handling for Dirichlet boundary conditions and solid boundary handling for Neumann boundary conditions. Our free surface handling appropriately determines particles for Dirichlet boundary conditions using Jacobi-based pressure prediction while our solid boundary handling introduces a new term to ensure the solvability of the linear system. We demonstrate that our method outperforms the state-of-the-art particle-based fluid solvers.

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PUBLICATION

An Efficient Hybrid Incompressible SPH Solver with Interface Handling for Boundary Conditions

Computer Graphics Forum (CGF)

Tetsuya Takahashi, Yoshinori Dobashi, Tomoyuki Nishita, and Ming C. Lin

[Paper] (pdf, 33.6 MB)
[Video] (mp4, 262 MB)

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