Adaptive computation of gravitational waves from black hole interactions

Philippos Papadopoulos, Edward Seidel, and Lee Wild
Phys. Rev. D 58, 084002 – Published 31 August 1998
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Abstract

We construct a class of linear partial differential equations describing general perturbations of non-rotating black holes in 3D Cartesian coordinates. In contrast with the usual approach, a single equation treats all radiative l-m modes simultaneously, allowing the study of wave perturbations of black holes with arbitrary 3D structure, as would be present when studying the full set of nonlinear Einstein equations describing a perturbed black hole. This class of equations forms an excellent testbed to explore the computational issues of simulating black spacetimes using a three dimensional adaptive mesh refinement code. Using this code, we present results from the first fully resolved 3D solution of the equations describing perturbed black holes. We discuss both fixed and adaptive mesh refinement, refinement criteria, and the computational savings provided by adaptive techniques in 3D for such model problems of distorted black holes.

  • Received 27 February 1998

DOI:https://doi.org/10.1103/PhysRevD.58.084002

©1998 American Physical Society

Authors & Affiliations

Philippos Papadopoulos

  • Max-Planck-Institut für Gravitationsphysik, Schlaatzweg 1, 14473 Potsdam, Germany

Edward Seidel

  • Max-Planck-Institut für Gravitationsphysik, Schlaatzweg 1, 14473 Potsdam, Germany;
  • National Center for Supercomputing Applications, Beckman Institute, 405 N. Mathews Avenue, Urbana, Illinois 61801;
  • Departments of Astronomy and Physics, University of Illinois, Urbana, Illinois 61801

Lee Wild

  • Max-Planck-Institut für Gravitationsphysik, Schlaatzweg 1, 14473 Potsdam, Germany

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Vol. 58, Iss. 8 — 15 October 1998

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