Statistics – Computation
Scientific paper
Nov 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apjs...71..407v&link_type=abstract
Astrophysical Journal Supplement Series (ISSN 0067-0049), vol. 71, Nov. 1989, p. 407-431. Research supported by Ohio State Unive
Statistics
Computation
57
Computational Astrophysics, Computational Grids, Cosmology, Hierarchies, Many Body Problem, Equations Of Motion, Fourier Transformation, Gravitational Effects, Hubble Constant, Poisson Equation
Scientific paper
An improved three-dimensional hierarchical particle-mesh (HPM) N-body code for the gravitational evolution of structure in the universe has been developed and tested. The basis of the code is a standard particle-mesh (PM) code where Poisson's equation is solved on a critical grid with fast Fourier transform techniques and periodic boundary conditions. Several subgrids and father grids can fit into a cube. The fields from the father grid, and its father grid, and so on, are treated as external fields. There is no back-reaction to father grids, and particles can enter and exit subgrids. In a four grid code the dynamic range can be extended to 6000 in length and 11 orders of magnitude in mass. The initial conditions are generated with a random phase realization of the power spectrum of the growing mode using the Zel'dovich approximation (1970). The HPM code is much faster than tree codes and particle-particle-mesh codes, and has a much larger dynamic range.
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