Local poisson SPH for viscous incompressible fluids

Computer Graphics Forum

Volumn 31, Issue 6, 2012, Pages 1948-1958

  He, Xiaowei ^a   Liu, Ning ^a   Li, Sheng ^a   Wang, Hongan ^b   Wang, Guoping ^a  

^a PEKING UNIVERSITY   (China)

^b INSTITUTE OF GEOLOGY AND GEOPHYSICS   (China)

Author keywords

fluid simulation; incompressibility; Local Poisson SPH

Indexed keywords

HYDRODYNAMICS; INCOMPRESSIBLE FLOW; INTEGRAL EQUATIONS;

APPROXIMATION ERRORS; COMPUTATIONAL COSTS; FLUID SIMULATIONS; INCOMPRESSIBILITY; LOCAL POISSON SPH; PRESSURE POISSON EQUATION; SOLID BOUNDARY TREATMENTS; VISCOUS INCOMPRESSIBLE FLUIDS;

POISSON EQUATION;

EID: 84874943147     PISSN: 01677055     EISSN: 14678659     Source Type: Journal    
DOI: 10.1111/j.1467-8659.2012.03074.x     Document Type: Article

References (31)

1. Adams B,., Pauly M,., Keiser R,., Guibas L. J.,: Adaptively sampled particle fluids. ACM Transactions on Graphics 26, 3 (2007), 48-54.
2. Bodin K,., Lacoursiere C,., Servin M.,: Constraint fluids. IEEE Transactions on Visualization and Computer Graphics, 99 (2011), 1-1.
3. Becker M,., Teschner M.,: Weakly compressible SPH for free surface flows. In Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation (San Diego, USA, 2007), Eurographics Association, pp. 209-217.
4. Bao K,., Zhang H,., Zheng L,., Wu E.,: Pressure corrected SPH for fluid animation. Computer Animation and Virtual Worlds 20 2-3, (2009), 311-320.
5. Courant R,., Friedrichs K,., Lewy H.,: On the partial difference equations of mathematical physics. IBM Journal of Research and Development 11, 2 (1967), 215-234.
6. Cummins S,., Rudman M.,: An SPH projection method. Journal of computational physics 152, 2 (1999), 584-607.
7. Desbrun M,., Gascuel M.,: Smoothed particles: A new paradigm for animating highly deformable bodies. In Proceedings of the Computer Animation and Simulation (1996), vol. 96, Citeseer, Poitiers, France, pp. 61-76.
8. Evans L.,: Partial Differential Equations. American Mathematical Society, 1998.
9. Gingold R,., Monaghan J.,: Smoothed particle hydrodynamics-theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society 181 (1977), 375-389.
10. Greengard L.,: The Rapid Evaluation of Potential Fields in Particle Systems, vol. 1987. the MIT Press, Cambridge, MA, USA, 1988.
11. Hu X,., Adams N.,: An incompressible multi-phase SPH method. Journal of Computational Physics 227, 1 (2007), 264-278.
12. Ihmsen M,., Akinci N,., Becker M,., Teschner M.,: A parallel SPH implementation on multi-core CPUS. In Computer Graphics Forum 30, 1 (2011), 99-112.
13. Keiser R,., Adams B,., Gasser D,., Bazzi P,., Dutré P,., Gross M.,: A unified lagrangian approach to solid-fluid animation. In Proceedings of the Eurographics Symposium on Point-Based Graphics (2005), Citeseer, New York, NY, USA, pp. 125-134.
14. Lenaerts T,., Adams B,., Dutré P.,: Porous flow in particle-based fluid simulations. ACM Transactions on Graphics (TOG) 27, 3 (2008), 1-8.
15. Lorensen W,., Cline H.,: Marching cubes: A high resolution 3D surface construction algorithm. ACM Siggraph Computer Graphics 21, 4 (1987), 163-169.
16. Lenaerts T,., Dutré P.,: Mixing fluids and granular materials. Computer Graphics Forum 28, 2 (2009), 213-218.
17. Liu J,., Koshizuka S,., Oka Y.,: A hybrid particle-mesh method for viscous, incompressible, multiphase flows. Journal of Computational Physics 202, 1 (2005), 65-93.
18. Losasso F,., Talton J,., Kwatra N,., Fedkiw R.,: Two-way coupled SPH and particle level set fluid simulation. IEEE Transactions on Visualization and Computer Graphics 14, 4 (2008), 797-804.
19. Lucy L. B.,: A numerical approach to the testing of the fission hypothesis. Astronomical Journal 82, 3 (1977), 1013-1024.
20. Müller M,., Charypar D,., Gross M.,: Particle-based fluid simulation for interactive applications. In Eurographics/SIGGRAPH Symposium on Computer Animation., D. Breen, and, M. Lin, (Eds.). San Diego, California (2003), Eurographics Association, pp. 154-159.
21. Morris J,., Fox P,., Zhu Y.,: Modeling low Reynolds number incompressible flows using SPH. Journal of Computational Physics 136, 1 (1997), 214-226.
22. Monaghan J.,: Smoothed particle hydrodynamics. Annual review of astronomy and astrophysics 30 (1992), 543-574.
23. Monaghan J.,: Simulating free surface flows with SPH. Journal of computational physics 110 (1994), 399.
24. Müller M,., Solenthaler B,., Keiser R,., Gross M.,: Particle-based fluid-fluid interaction. In Proceedings of the 2005 ACM SIGGRAPH/Eurographics symposium on Computer animation (Los Angeles, CA, USA, 2005), ACM, p. 244.
25. Premžoe S,., Tasdizen T,., Bigler J,., Lefohn A,., Whitaker R.,: Particle-Based Simulation of Fluids. In Computer Graphics Forum 22, 3 (2003), 401-410.
26. Randles P,., Libersky L.,: Smoothed particle hydrodynamics: some recent improvements and applications. Computer Methods in Applied Mechanics and Engineering 139, 1-4 (1996), 375-408.
27. Raveendran K,., Wojtan C,., Turk G.,: Hybrid smoothed particle hydrodynamics. In Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (2011), ACM, Vancouver, Canada, pp. 33-42.
28. Sin F,., Bargteil A,., Hodgins J.,: A point-based method for animating incompressible flow. In Proceedings of the 2009 ACM SIGGRAPH/Eurographics Symposium on Computer Animation (2009), ACM, New Orleans, USA, pp. 247-255.
29. Shao S,., Lo E.,: Incompressible SPH method for simulating newtonian and non-newtonian flows with a free surface. Advances in Water Resources 26, 7 (2003), 787-800.
30. Solenthaler B,., Pajarola R.,: Predictive-corrective incompressible SPH. In ACM SIGGRAPH 2009 papers 28, 3 (2009), 1-6 ACM.
31. Solenthaler B,., Schläfli J,., Pajarola R.,: A unified particle model for fluid-solid interactions. Computer Animation and Virtual Worlds 18, 1 (2007), 69-82.