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A Study of the Stability Properties of Smooth Particle Hydrodynamics

Published online by Cambridge University Press:  25 April 2016

Joseph Peter Morris
Joseph Peter Morris*
Affiliation:
Mathematics Department, Monash University, Clayton, Vic. 3168, Australia. jpm@fermat.maths.monash.edu.au
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Abstract

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 paper 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.

Keywords

methods: numerical hydrodynamicsmagnetohydrodynamics: MHD instabilities
Type
Magnetic Fields, Disks and Jets: A Workshop organised by the ANU Astrophysical Theory Centre The ANU Astrophysical Theory Centre
Information
Publications of the Astronomical Society of Australia , Volume 13 , Issue 1 , January 1996 , pp. 97 - 102
Copyright
Copyright © Astronomical Society of Australia 1996

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References

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