A Study of the Stability Properties of SPH

Details A Study of the Stability Properties of SPH A Study of the Stability Properties of SPH

1995-04-03

arxiv.org/abs/astro-ph/9503124v1

Astronomy and Astrophysics

Astrophysics

4 pages, uuencoded compressed postscript Accepted for publication in the Proceedings of the Astronomical Society of Australia

Scientific paper

When using a formulation of Smooth Particle Hydrodynamics (SPH) which conserves momentum exactly the motion of the particles is observed to be unstable to negative stress. It is also found that under normal circumstances a lattice of SPH particles is potentially unstable to transverse waves. This document is a summary of a detailed report (Morris 1994) investigating the nature of these and other instabilities in depth. Approaches which may be used to eliminate these instabilities are suggested. It is found that the stability properties of SPH in general improve as higher order spline interpolants, approximating a Gaussian, are used as kernels.

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