New Developments in Smoothed Particle Hydrodynamics

  • Joseph J. Monaghan
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 26)

Abstract

Smoothed particle hydrodynamics (SPH) is a Lagrangian particle method which is said to be the first of the meshless methods. The characteristic of these methods is that the interpolation uses a set of disordered points and the equations of motion appear similar to the equations of motion of a set of particles. The generic name, Smoothed Particle methods seems to capture these features nicely. A useful review of SPH (Monaghan (1992)) gives the basic technique, and how it can be applied to numerous problems relevant to astrophysics. There are some useful SPH programs on the Web one of which is Gadget. This code was written by astrophysicists but it is of general interest.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Benz, W. and Asphaug, E. Icarus,107, 98, (1994)Google Scholar
  2. 2.
    Benz, W. and Asphaug, E. Comp. Phys. Comm., 87, 253, (1995)Google Scholar
  3. 3.
    Bonet, J. and Lok, T-S. L. Comp. Meth. App. Mech. and Eng. 180, 115, (1999).Google Scholar
  4. 4.
    Eckart, C. Phys. Fluids, 3, 421, (1960)Google Scholar
  5. 5.
    J. P. Gray, J. J. Monaghan, R. P. Swift Camp. Meth. App. Mech. and Eng. 190, 6641, (2001).Google Scholar
  6. 6.
    Holm, D. D. Physica D, 133, 215, (1999)Google Scholar
  7. 7.
    Monaghan, J.J. Jour. Computat. Phys., 64, 2, (1989)Google Scholar
  8. 8.
    Monaghan, J.J. Ann. Rev. Astron. Ap., 30, 543, (1992)Google Scholar
  9. 9.
    P. Cleary and J. J. Monaghan J. Computat. Phys. 148, 227–264, (1999).Google Scholar
  10. 10.
    J. J. Monaghan and A. Kos J. Waterways, Ports, Coastal and Ocean Eng. 125, 145–154, (1999).Google Scholar
  11. 11.
    J. J. Monaghan and A. Kos Phys. of Fluids A. 12, 622–630, (2000).Google Scholar
  12. 12.
    J. J. Monaghan J. Computat. Phys. 159, 290–311, (2000).Google Scholar
  13. 13.
    J. J. Monaghan and D. L. Price Mon. Not. Roy. Astra. Soc 328, 381, (2001).Google Scholar
  14. 14.
    H. Wozniakowski, Bull. Amer. Math. Soc. 24, 185, (1991).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Joseph J. Monaghan
    • 1
  1. 1.School of Mathematical SciencesMonash UniversityAustralia

Personalised recommendations