Excision methods for high resolution shock capturing schemes applied to general relativistic hydrodynamics

Ian Hawke, Frank Löffler, and Andrea Nerozzi
Phys. Rev. D 71, 104006 – Published 5 May 2005

Abstract

We present a simple method for applying excision boundary conditions for the relativistic Euler equations. This method depends on the use of reconstruction-evolution methods, a standard class of high-resolution shock-capturing methods. We test three different reconstruction schemes, namely, total variation diminishing, piecewise parabolic method (PPM) and essentially nonoscillatory. The method does not require that the coordinate system is adapted to the excision boundary. We demonstrate the effectiveness of our method using tests containing discontinuities, static test fluid solutions with black holes, and full dynamical collapse of a neutron star to a black hole. A modified PPM scheme is introduced because of problems arisen when matching excision with the original PPM reconstruction scheme.

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  • Received 18 January 2005

DOI:https://doi.org/10.1103/PhysRevD.71.104006

©2005 American Physical Society

Authors & Affiliations

Ian Hawke1,2, Frank Löffler1, and Andrea Nerozzi3,4

  • 1Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, 14476 Golm, Germany
  • 2School of Mathematics, University of Southampton, Southampton SO17 1BJ, United Kingdom
  • 3Institute of Cosmology and Gravitation, Mercantile House, Hampshire Terrace, PO1 2EG, Portsmouth, United Kingdom
  • 4Center for Relativity, University of Texas at Austin, Austin Texas 78712-1081, USA

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Issue

Vol. 71, Iss. 10 — 15 May 2005

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