Hybrid Smoothed Particle Hydrodynamics

Publication

ACM SIGGRAPH/Eurographics Symposium on Computer Animation (SCA 2011)

Abstract

We present a new algorithm for enforcing incompressibility for Smoothed Particle Hydrodynamics (SPH) by preserving uniform density across the domain. We propose a hybrid method that uses a Poisson solve on a coarse grid to enforce a divergence free velocity field, followed by a local density correction of the particles. This avoids typical grid artifacts and maintains the Lagrangian nature of SPH by directly transferring pressures onto particles. Our method can be easily integrated with existing SPH techniques such as the incompressible PCISPH method as well as weakly compressible SPH by adding an additional force term. We show that this hybrid method accelerates convergence towards uniform density and permits a significantly larger time step compared to earlier approaches while producing similar results. We demonstrate our approach in a variety of scenarios with significant pressure gradients such as splashing liquids.

Resources

• Paper (2 MB)
• Paper (66 MB)

Citation

@inproceedings{10.1145/2019406.2019411,
  author = {Raveendran, Karthik and Wojtan, Chris and Turk, Greg},
  title = {Hybrid smoothed particle hydrodynamics},
  year = {2011},
  isbn = {9781450309233},
  publisher = {Association for Computing Machinery},
  address = {New York, NY, USA},
  url = {https://doi.org/10.1145/2019406.2019411},
  doi = {10.1145/2019406.2019411},
  booktitle = {Proceedings of the 2011 ACM SIGGRAPH/Eurographics Symposium on Computer Animation},
  pages = {33–42},
  numpages = {10},
  location = {Vancouver, British Columbia, Canada},
  series = {SCA '11}
}