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A 3D MHD model of astrophysical flows: Algorithms, tests and parallelisation

2001/02/05 by S. E. Caunt, M. J. Korpi · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Code (set theory) #Compressibility #Computational Fluid Dynamics and Aerodynamics #Computational science #Computer science #Domain (mathematical analysis) #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory #Magnetohydrodynamics #Mathematics #Mechanics #Parallel computing #Physics #Programming language #Python (programming language) #Ranging #Shearing (physics) #Turbulence #astro-ph

paper · pdf · doi:10.1051/0004-6361:20010157

17 pages with 21 GIF figures. Accepted for publication in A&A

arxiv created 2001/02/05 · openalex publication_date 2001/04/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper we describe a numerical method designed for modelling different kinds of astrophysical flows in three dimensions. Our method is a standard explicit finite difference method employing the local shearing-box technique. To model the features of astrophysical systems, which are usually compressible, magnetised and turbulent, it is desirable to have high spatial resolution and large domain size to model as many features as possible, on various scales, within a particular system. In addition, the time-scales involved are usually wide-ranging also requiring significant amounts of CPU time. These two limits (resolution and time-scales) enforce huge limits on computational capabilities. The model we have developed therefore uses parallel algorithms to increase the performance of standard serial methods. The aim of this paper is to report the numerical methods we use and the techniques invoked for parallelising the code. The justification of these methods is given by the extensive tests presented herein.

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