Nadir Akinci, Gizem Akinci, and Matthias Teschner. Versatile surface tension and adhesion for sph fluids. ACM Trans. Graph., 32(6):182:1–182:8, November 2013. URL:, doi:10.1145/2508363.2508395.


Nadir Akinci, Markus Ihmsen, Gizem Akinci, Barbara Solenthaler, and Matthias Teschner. Versatile rigid-fluid coupling for incompressible sph. ACM Trans. Graph., 31(4):62:1–62:8, July 2012. URL:, doi:10.1145/2185520.2185558.


Markus Becker, Markus Ihmsen, and Matthias Teschner. Corotated SPH for deformable solids. In Proceedings of Eurographics Conference on Natural Phenomena, 27–34. 2009. URL:, doi:10.2312EG/DL/conf/EG2009/nph/027-034.


Markus Becker and Matthias Teschner. Weakly compressible sph for free surface flows. In ACM SIGGRAPH/Eurographics Symposium on Computer Animation, SCA '07, 209–217. Aire-la-Ville, Switzerland, Switzerland, 2007. Eurographics Association. URL:


Jan Bender and Dan Koschier. Divergence-free smoothed particle hydrodynamics. In ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA '15, 147–155. New York, NY, USA, 2015. ACM. URL:, doi:10.1145/2786784.2786796.


Jan Bender and Dan Koschier. Divergence-free sph for incompressible and viscous fluids. IEEE Transactions on Visualization and Computer Graphics, 23(3):1193–1206, 2017. URL:, doi:10.1109/TVCG.2016.2578335.


Jan Bender, Dan Koschier, Tassilo Kugelstadt, and Marcel Weiler. A micropolar material model for turbulent sph fluids. In ACM SIGGRAPH / Eurographics Symposium on Computer Animation, SCA '17. ACM, 2017. URL:, doi:10.1145/3099564.3099578.


Jan Bender, Tassilo Kugelstadt, Marcel Weiler, and Dan Koschier. Volume maps: an implicit boundary representation for sph. In Proceedings of ACM SIGGRAPH Conference on Motion, Interaction and Games, MIG '19. ACM, 2019. URL:, doi:10.1145/3359566.3360077.


Jan Bender, Matthias Müller, and Miles Macklin. Position-based simulation methods in computer graphics. In EUROGRAPHICS 2015 Tutorials. Eurographics Association, 2015. URL:, doi:10.2312/egt.20151045.


Jan Bender, Matthias Müller, Miguel A. Otaduy, Matthias Teschner, and Miles Macklin. A survey on position-based simulation methods in computer graphics. Computer Graphics Forum, 33(6):228–251, 2014. URL:, doi:10.1111/cgf.12346.


Crispin Deul, Patrick Charrier, and Jan Bender. Position-based rigid body dynamics. Computer Animation and Virtual Worlds, 2014. URL:, doi:10.1002/cav.1614.


Christoph Gissler, Stefan Band, Andreas Peer, Markus Ihmsen, and Matthias Teschner. Approximate air-fluid interactions for sph. In Virtual Reality Interactions and Physical Simulations, 1–10. April 2017. URL:, doi:10.2312/vriphys.20171081.


Xiaowei He, Huamin Wang, Fengjun Zhang, Hongan Wang, Guoping Wang, and Kun Zhou. Robust simulation of sparsely sampled thin features in sph-based free surface flows. ACM Trans. Graph., 34(1):7:1–7:9, December 2014. URL:, doi:10.1145/2682630.


Markus Ihmsen, Jens Cornelis, Barbara Solenthaler, Christopher Horvath, and Matthias Teschner. Implicit incompressible sph. IEEE Transactions on Visualization and Computer Graphics, 20(3):426–435, March 2014. URL:, doi:10.1109/TVCG.2013.105.


Markus Ihmsen, Jens Orthmann, Barbara Solenthaler, Andreas Kolb, and Matthias Teschner. SPH Fluids in Computer Graphics. In Sylvain Lefebvre and Michela Spagnuolo, editors, Eurographics 2014 - State of the Art Reports. The Eurographics Association, 2014. URL:, doi:10.2312/egst.20141034.


Min Jiang, Yahan Zhou, Rui Wang, Richard Southern, and Jian Jun Zhang. Blue noise sampling using an sph-based method. ACM Transactions on Graphics (TOG), 34(6):1–11, 2015.


Dan Koschier and Jan Bender. Density maps for improved sph boundary handling. In ACM SIGGRAPH/Eurographics Symposium on Computer Animation, 1–10. July 2017. URL:, doi:10.1145/3099564.3099565.


Dan Koschier, Jan Bender, Barbara Solenthaler, and Matthias Teschner. Smoothed particle hydrodynamics for physically-based simulation of fluids and solids. In Eurographics 2019 - Tutorials. Eurographics Association, 2019. URL:, doi:10.2312/egt.20191035.


Tassilo Kugelstadt, Jan Bender, José Antonio Fernández-Fernández, Stefan Rhys Jeske, Fabian Löschner, and Andreas Longva. Fast corotated elastic sph solids with implicit zero-energy mode control. Proc. ACM Comput. Graph. Interact. Tech., 2021.


Miles Macklin and Matthias Müller. Position based fluids. ACM Trans. Graph., 32(4):104:1–104:12, July 2013. URL:, doi:10.1145/2461912.2461984.


Miles Macklin, Matthias Müller, Nuttapong Chentanez, and Tae-Yong Kim. Unified Particle Physics for Real-Time Applications. ACM Trans. Graph., 33(4):1–12, 2014. URL:, doi:10.1145/2601097.2601152.


A. Peer, M. Ihmsen, J. Cornelis, and M. Teschner. An Implicit Viscosity Formulation for SPH Fluids. ACM Trans. Graph., 34(4):1–10, 2015. URL:, doi:10.1145/2766925.


Andreas Peer, Christoph Gissler, Stefan Band, and Matthias Teschner. An implicit sph formulation for incompressible linearly elastic solids. Computer Graphics Forum, 2017. URL:, doi:10.1111/cgf.13317.


Andreas Peer and Matthias Teschner. Prescribed velocity gradients for highly viscous SPH fluids with vorticity diffusion. IEEE Transactions on Visualization and Computer Graphics, pages 1–9, 2016. URL:, doi:10.1109/tvcg.2016.2636144.


Hagit Schechter and Robert Bridson. Ghost sph for animating water. ACM Trans. Graph., 31(4):61:1–61:8, July 2012. URL:, doi:10.1145/2185520.2185557.


B. Solenthaler and R. Pajarola. Predictive-corrective incompressible sph. ACM Trans. Graph., 28(3):40:1–40:6, July 2009. URL:, doi:10.1145/1531326.1531346.


T. Takahashi, Y. Dobashi, I. Fujishiro, T. Nishita, and M.C. Lin. Implicit Formulation for SPH-based Viscous Fluids. Computer Graphics Forum, 34(2):493–502, 2015. URL:, doi:10.1111/cgf.12578.


Marcel Weiler, Dan Koschier, and Jan Bender. Projective fluids. In Proceedings of the 9th International Conference on Motion in Games, MIG '16, 79–84. New York, NY, USA, 2016. ACM. URL:, doi:10.1145/2994258.2994282.


Marcel Weiler, Dan Koschier, Magnus Brand, and Jan Bender. A physically consistent implicit viscosity solver for sph fluids. Computer Graphics Forum (Eurographics), 2018. URL:, doi:10.1111/cgf.13349.