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methods: numerical hydrodynamics

Publications of the Astronomical Society of Australia (1)

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A Study of the Stability Properties of Smooth Particle Hydrodynamics
Joseph Peter Morris
Journal:

Publications of the Astronomical Society of Australia / Volume 13 / Issue 1 / January 1996

Published online by Cambridge University Press:

25 April 2016, pp. 97-102
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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.