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

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 ag...

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Bibliographic Details
Published in:Computer graphics forum Vol. 37; no. 1; pp. 313 - 324
Main Authors: Takahashi, Tetsuya, Dobashi, Yoshinori, Nishita, Tomoyuki, Lin, Ming C.
Format: Journal Article
Language:English
Published: Oxford Blackwell Publishing Ltd 01.02.2018
Subjects:
boundary condition
Boundary conditions
Computational fluid dynamics
Dirichlet problem
Fluid flow
Fluids
Free surfaces
I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling Physically based modelling I.3.7 [Computer Graphics]: Three‐Dimensional Graphics and Realism Animation
Incompressible flow
incompressible fluid
Incompressible fluids
Materials handling
Particle density (concentration)
Poisson equation
Robustness
Smooth particle hydrodynamics
Solvers
SPH
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary: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. 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.
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.13292