Cosmological N-body simulations

Statistics – Computation

Scientific paper

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Computational Astrophysics, Computerized Simulation, Equations Of Motion, Hubble Constant, Many Body Problem, Boundary Conditions, Cosmology, Dark Matter, Galactic Structure, Halos, Imaging Techniques

Scientific paper

The physical and computational aspects of a number of large cosmological N-body simulations are discussed. Equations of motion and initial conditions are considered, noting that the initial positions and velocities of particles in a cosmological N-body simulation can be obtained from the density fluctuation field using a Langrangian description originated by Zel'dovich. Numerical methods for cosmological N-body simulations are discussed and it is noted that they have four desiderata: (1) accurate forces between particles; (2) accurate time integration; (3) large N; and (4) periodic boundary conditions. All of the simulations involving two million particles or more were run on an IBM 3090-600J supercomputer. The total memory requirement for a particle-mesh simulation of this size is nearly 950 MB. The method for obtaining this and the manner in which vector and parallel operations are conducted are discussed. Dynamic range and self-similar hierarchical clustering are considered and a case study of galaxy formation is presented.

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