Simulating Self-gravitating Hydrodynamic Flows

Details Simulating Self-gravitating Hydrodynamic Flows Simulating Self-gravitating Hydrodynamic Flows

1994-02-28

arxiv.org/abs/astro-ph/9402070v1

Comput.Phys.Commun. 89 (1995) 45-58

Astronomy and Astrophysics

Astrophysics

15 pages, compressed uu-encoded postscript file (232kB), to appear in Computer Physics Communications, special issue Computati

Scientific paper

10.1016/0010-4655(94)00185-5

An efficient algorithm for solving Poisson's equation in two and three spatial dimensions is discussed. The algorithm, which is described in detail, is based on the integral form of Poisson's equation and utilizes spherical coordinates and an expansion into spherical harmonics. The solver can be applied to and works well for all problems for which the use of spherical coordinates is appropriate. We also briefly discuss the implementation of the algorithm into hydrodynamic codes which are based on a conservative finite--difference scheme.

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