General

  • open-source SPH fluid simulation (2D & 3D)
  • neighborhood search on CPU or GPU
  • supports vectorization using AVX
  • Python binding (thanks to Stefan Jeske)
  • supports embedded Python scripts
  • several implicit pressure solvers (WCSPH, PCISPH, PBF, IISPH, DFSPH, PF)
  • explicit and implicit viscosity methods
  • current surface tension approaches
  • different vorticity methods
  • computation of drag forces
  • support for multi-phase simulations
  • simulation of deformable solids
  • rigid-fluid coupling with static and dynamic bodies
  • two-way coupling with deformable solids
  • XSPH velocity filter
  • fluid emitters
  • scripted animation fields
  • a json-based scene file importer
  • automatic surface sampling
  • a tool for volume sampling of closed geometries
  • a tool to generate spray, foam and bubble particles in a postprocessing step
  • a tool to skin a visual mesh to the moving particles of an elastic solid in a postprocessing step
  • partio file export of all particle data
  • VTK file export of all particle data (enables the data import in ParaView)
  • rigid body export
  • a Maya plugin to model and generate scene files
  • a ParaView plugin to import particle data

Pressure Solvers

The SPlisHSPlasH library implements the following pressure solvers:

  • Weakly compressible SPH for free surface flows (WCSPH)
  • Predictive-corrective incompressible SPH (PCISPH)
  • Position based fluids (PBF)
  • Implicit incompressible SPH (IISPH)
  • Divergence-free smoothed particle hydrodynamics (DFSPH)
  • Projective Fluids (PF)
  • Implicit compressible SPH (ICSPH)

Boundary Handling

The SPlisHSPlasH library implements the following boundary handling methods:

  • Nadir Akinci, Markus Ihmsen, Gizem Akinci, Barbara Solenthaler, and Matthias Teschner, “Versatile rigid-fluid coupling for incompressible SPH”, ACM Transactions on Graphics 31(4), 2012
  • Dan Koschier and Jan Bender, “Density Maps for Improved SPH Boundary Handling”, In Proceedings of ACM SIGGRAPH / EUROGRAPHICS Symposium on Computer Animation (SCA), 2017
  • Jan Bender, Tassilo Kugelstadt, Marcel Weiler, Dan Koschier, “Volume Maps: An Implicit Boundary Representation for SPH”, ACM SIGGRAPH Conference on Motion, Interaction and Games, 2019
  • Jan Bender, Lukas Westhofen, Stefan Rhys Jeske, “Consistent SPH Rigid-Fluid Coupling”, Vision, Modeling and Visualization, 2023. https://doi.org/10.2312/vmv.20231244

Viscosity

The SPlisHSPlasH library implements explicit viscosity methods:

  • Standard SPH formulation of viscosity

and the implicit methods of the following publications:

  • Jan Bender and Dan Koschier, “Divergence-free SPH for incompressible and viscous fluids”, IEEE Transactions on Visualization and Computer Graphics, 2017
  • Andreas Peer, Markus Ihmsen, Jens Cornelis, and Matthias Teschner, “An Implicit Viscosity Formulation for SPH Fluids”, ACM Transactions on Graphics, 34(4), 2015
  • Andreas Peer and Matthias Teschner. Prescribed Velocity Gradients for Highly Viscous SPH Fluids with Vorticity Diffusion. IEEE Transactions on Visualization and Computer Graphics, 2016
  • An improved version of: Tetsuya Takahashi, Yoshinori Dobashi, Issei Fujishiro, Tomoyuki Nishita, and Ming C. Lin. Implicit Formulation for SPH-based Viscous Fluids. Computer Graphics Forum, 34, 2015.
  • Marcel Weiler, Dan Koschier, Magnus Brand and Jan Bender. A Physically Consistent Implicit Viscosity Solver for SPH Fluids. Computer Graphics Forum (Eurographics), 37(2), 2018

Surface Tension

The SPlisHSPlasH library implements the surface tension methods of the following publications:

  • Markus Becker and Matthias Teschner. Weakly compressible SPH for free surface flows. In Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation, 2007. Eurographics Association.
  • Nadir Akinci, Gizem Akinci, and Matthias Teschner. Versatile surface tension and adhesion for SPH fluids. ACM Trans. Graph., 32(6):182:1–182:8, 2013.
  • 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 Transactions on Graphics, 34(1), 2014.
  • F. Zorilla, M. Ritter, J. Sappl, W. Rauch, M. Harders, “Accelerating Surface Tension Calculation in SPH via Particle Classification and Monte Carlo Integration”, Computers 9, 23, 2020.
  • Jeske, Stefan Rhys, Lukas Westhofen, Fabian Löschner, José Antonio Fernández-Fernández, and Jan Bender. “Implicit Surface Tension for SPH Fluid Simulation.” ACM Transactions on Graphics, 2023. https://doi.org/10.1145/3631936.

Vorticity

The SPlisHSPlasH library implements the vorticity methods of the following publications:

  • Jan Bender, Dan Koschier, Tassilo Kugelstadt and Marcel Weiler. A Micropolar Material Model for Turbulent SPH Fluids. In Proceedings of ACM SIGGRAPH / EUROGRAPHICS Symposium on Computer Animation, 2017
  • Miles Macklin and Matthias Müller. Position based fluids. ACM Trans. Graph., 32(4):104:1–104:12, July 2013.

Drag Forces

The SPlisHSPlasH library implements the drag force computation of the following publications:

  • Christoph Gissler, Stefan Band, Andreas Peer, Markus Ihmsen and Matthias Teschner. Approximate Air-Fluid Interactions for SPH. In Proceedings of Virtual Reality Interactions and Physical Simulations, 2017
  • Miles Macklin, Matthias Müller, Nuttapong Chentanez and Tae-Yong Kim. Unified Particle Physics for Real-Time Applications. ACM Trans. Graph., 33(4), 2014

Elastic Forces

  • M. Becker, M. Ihmsen, and M. Teschner. Corotated SPH for deformable solids. Proceedings of Eurographics Conference on Natural Phenomena, 2009
  • A. Peer, C. Gissler, S. Band, and M. Teschner. An Implicit SPH Formulation for Incompressible Linearly Elastic Solids. Computer Graphics Forum, 2017
  • 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. Proceedings of the ACM on Computer Graphics and Interactive Techniques, 2021

Multi-Phase Fluid Simulation

The SPlisHSPlasH library implements the following publication to realize multi-phase simulations:

  • B. Solenthaler and R. Pajarola. Density Contrast SPH Interfaces. In Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation, 2008.

Volume Sampling

The SPlisHSPlasH library implements the volume sampling techniques of following publications:

  • M. Jiang, Y. Zhou, R. Wang, R. Southern, J. J. Zhang. Blue noise sampling using an SPH-based method. ACM Transactions on Graphics, 2015
  • 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. Proceedings of the ACM on Computer Graphics and Interactive Techniques, 2021