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Residual distribution schemes for Bondi‐Hoyle accretion
Author(s) -
Rossmanith James A.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700430
Subject(s) - physics , polygon mesh , euler's formula , accretion (finance) , astrophysics , black hole (networking) , residual , quasar , schwarzschild radius , schwarzschild metric , statistical physics , classical mechanics , geometry , computer science , galaxy , algorithm , mathematical analysis , mathematics , general relativity , computer network , routing protocol , routing (electronic design automation) , link state routing protocol
Abstract Black hole accretion is a key component in astrophysical phenomena such as gamma‐ray bursts and quasars. As a step towards understanding such phenomena, accurate and efficient computational methods for simulating gas dynamics in the presence of black holes must be developed. In this work a residual distribution scheme on unstructured grids is constructed for solving the general relativistic version of the compressible Euler equations. In particular, we simulate Bondi‐Hoyle accretion onto a Schwarzschild black hole. Presented here are preliminary results in a larger effort to develop high‐order methods on unstructured meshes for general relativistic flows. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)