Meshfree Methods for Partial Differential Equations

Volume 26 of the series Lecture Notes in Computational Science and Engineering pp 281-290

New Developments in Smoothed Particle Hydrodynamics

  • Joseph J. MonaghanAffiliated withSchool of Mathematical Sciences, Monash University

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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.