Work

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

Year: 2005

Type: article

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.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.71.104006

Authors: Ian Hawke, Frank Löffler, Andrea Nerozzi

Institutions: Max Planck Institute for Gravitational Physics, University of Southampton, The University of Texas at Austin

Language: English

Topic: Computational Fluid Dynamics and Aerodynamics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funder: National Aeronautics and Space Administration

Award: LISA BLACK HOLE SOURCE DYNAMICS VIA CONSTRAINED EVOLUTION OF THE EINSTEIN EQUATIONS