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An Efficient Hybrid Incompressible SPH Solver with Interface Handling for Boundary Conditions
Author(s) -
Takahashi Tetsuya,
Dobashi Yoshinori,
Nishita Tomoyuki,
Lin Ming C.
Publication year - 2018
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.13292
Subject(s) - solver , robustness (evolution) , boundary value problem , compressibility , boundary conditions in cfd , computer science , dirichlet boundary condition , neumann boundary condition , smoothed particle hydrodynamics , boundary (topology) , computational science , robin boundary condition , mechanics , mathematics , mathematical optimization , mathematical analysis , physics , biochemistry , chemistry , gene
We propose a hybrid smoothed particle hydrodynamics solver for efficientlysimulating 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.