1994/02/28 by Ewald Müller, Ewald Mueller, Matthias Steinmetz · 109 citations
Earth and Planetary Sciences · Engineering · Mathematics · Physics and Astronomy · #Applied mathematics #Classical mechanics #Computational Fluid Dynamics and Aerodynamics #Computer science #Gas Dynamics and Kinetic Theory #Geophysics and Gravity Measurements #Mathematical analysis #Mathematical optimization #Mathematics #Physics #Poisson distribution #Poisson's equation #Scheme (mathematics) #Solver #Spherical coordinate system #Spherical harmonics #Vector spherical harmonics #Zonal spherical harmonics #astro-ph
paper · pdf · doi:10.1016/0010-4655(94)00185-5
published in Computer Physics Communications 89(1-3), 45-58 (Elsevier BV) · 15 pages, compressed uu-encoded postscript file (232kB), to appear in Computer Physics Communications, special issue Computational Hydrodynamics in Astrophysics
arxiv created 1994/02/28 · openalex publication_date 1995/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.