Cosmological simulations using the hierarchical tree method

Details Cosmological simulations using the hierarchical tree method Cosmological simulations using the hierarchical tree method

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988apjs...68..521b&link_type=abstract

Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 68, Dec. 1988, p. 521-538. Research supported by San Diego Superc

Mathematics

47

Computerized Simulation, Galactic Clusters, Hubble Constant, Many Body Problem, Trees (Mathematics), Boundary Conditions, Boundary Value Problems, Dark Matter, Hierarchies

Scientific paper

Simulations are used here to show that the hierarchical tree method can faithfully reproduce the statistical behavior of systems undergoing clustering through gravitational instability. The influence of the approximation in the potential, the two-body softening length, the time-step, and the particle number on the resulting evolution is investigated in order to infer the properties of the method for future applications. Various schemes for handling boundary conditions are briefly discussed. It is shown that the efficiency of the technique is insensitive to the degree of clustering present in the simulations. Hence, the hierarchical tree method may be superior to more traditional N-body algorithms for evolving strongly nonlinear systems requiring a large particle number and dynamical range.

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