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A refined particle method for astrophysical problems. (English) Zbl 0622.76054
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.

76E20Stability and instability of geophysical and astrophysical flows
65D07Splines (numerical methods)
76M99Basic methods in fluid mechanics
85A05Galactic and stellar dynamics