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A New Method for Computing the Gravitational Force in Particle Simulations

Published online by Cambridge University Press:  25 April 2016

J. J. Monaghan
J. J. Monaghan*
Affiliation:
Mathematics Department, Monash University
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Extract

A standard procedure for the simulation of galaxies is to replace the ∼ 1011 stars by ∼ 104 particles. These particles are assumed to have equal mass and their distribution in space produces a mass density ϱ which mimics the average mass density of the stars. From the mass density of the particles the gravitational forces between the particles can be computed. In the literature two methods have been used to compute these forces.

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 5 , Issue 2 , 1983 , pp. 182 - 183
Copyright
Copyright © Astronomical Society of Australia 1983

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References

Brandt, A., Math. Comp. 31, 333, (1977).Google Scholar
Gingold, R. A., and Monaghan, J. J., Mon. Not. R. Astron. Soc., 181, 375 (1977).CrossRefGoogle Scholar
Hockney, R. W., and Eastwood, J. E., Computer Simulation using Particles. McGraw-Hill, 1981.Google Scholar
Schoenberg, I. J., Cardinal Spline Interpolation, Society for Industrial and Applied Mathematics, 1973.Google Scholar