Cosmological N-body simulations with a treecode

Details Cosmological N-body simulations with a treecode Cosmological N-body simulations with a treecode

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990stin...9111638s&link_type=abstract

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Mathematics

Computerized Simulation, Cosmology, Gravitational Fields, Many Body Problem, Trees (Mathematics), Algorithms, Boundary Conditions, Power Spectra, Universe

Scientific paper

Evolution of gravitationally interacting N-body systems in the universe is numerically studied. The N-body method is based on the hierarchical tree algorithm and the fully periodic boundary condition is implemented by applying the Ewald method. All of 262,144 particles were used in total, which are initially distributed to represent scale-free power spectra of density fluctuations P(k)proportional to kn, with n = -2, -1, 0 and 1. The subsequent evolution is followed in both flat and open universes. With this large number of particles, the discretized system can represent the initial linear phase, in good agreement with analytic theory. Dynamics in the strongly nonlinear regime depends on both the spectral index n and the density parameter Omega. In Omega = 1 universes, evolution of two-point correlation functions (xi) for (xi) greater than or approx. 100 agrees with the similarity solutions. In the weakly nonlinear regimes, the growth rate of density fluctuations sensitively depends on n.

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