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.


76E20 Stability and instability of geophysical and astrophysical flows
65D07 Numerical computation using splines
76M99 Basic methods in fluid mechanics
85A05 Galactic and stellar dynamics