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Zbl 0622.76054
Monaghan, J.J.; Lattanzio, J.C.
A refined particle method for astrophysical problems.
(English)
[J] Astron. Astrophys. 149, 135-143 (1985). ISSN 0004-6361; ISSN 1432-0746/e

A version of the particle method SPH with greatly increased efficiency is described. The increase in efficiency is due to the use of a grid both for the calculation of gravitational forces and for the determination of nearest neighbours. Sufficient accuracy is achieved on coarse grids by the use of a short range correction for the gravitational force. Storage problems are thereby eliminated. Other improvements include the use of interpolation kernels based on B-splines, the use of particles with different masses and the use of a simple efficient artificial viscosity. A wide variety of tests confirm the overall accuracy.
MSC 2000:
*76E20 Instability of flows in nature
65D07 Splines (numerical methods)
76M99 Basic methods in fluid mechanics
85A05 Galactic and stellar dynamics

Keywords: particle method; gravitational forces; nearest neighbours; short range correction; interpolation kernels; B-splines

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