N-Body Galaxy Dynamics Simulations on a Homogeneous Beowulf Cluster

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The galactic distribution of dark matter in disk galaxies remains an important problem in astrophysics. Modern methods in determining this distribution rely heavily on N--Body simulations. To this end we have developed a variable time step Piet Hut N--Body simulator, run using MPICH on a homogeneous 12 processor (x86) Beowulf cluster.
The Hut Algorithm allows for the efficient, accurate calculation of forces between millions of points in a reasonable time. Additionally, subdividing the space into octants allows for the efficient creation O(N log (N)) of mutual nearest-neighbor data for all points. Such data are necessary for the inclusion of smoothed particle hydrodynamics (gas clouds, etc) as well as for merging the frequent, tightly bound, rapidly rotating, binary systems that decrease performance in this type of simulation.
Initial tests have shown strong agreement with exhaustive O(N2) calculation results. Simulating 10,000 points yielded a total relative error of 0.32% with the exhaustive case, executing in 3.3 seconds on the cluster. General system-level tests have also been performed, including determining collapse times for cold and isothermal spherical distributions; all resulting in good agreement with analytical results. Tests on the Kuz'min galactic distribution have also resulted in expected rotational rates. We discuss the oscillatory behavior of such distributions within several constant potentials with the intention of further eliciting the distribution of dark matter within our own galaxy.

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