A 3D Apparent Horizon Finder

We report on an efficient method for locating the apparent horizon in numerically constructed dynamical 3D black hole spacetimes. Instead of solving the zero expansion partial differential equation, our method uses a minimization procedure. Converting the PDE problem to minimization eliminates the d...

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Bibliographic Details
Published in:arXiv.org 1994-12
Main Authors: Libson, Joseph, Masso, Joan, Seidel, Edward, Wai-Mo Suen
Format: Article
Language:English
Subjects:
Boundary conditions
Computer simulation
Horizon
Optimization
Parallel computers
Parallel processing
Partial differential equations
Online Access:Get full text
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Summary:We report on an efficient method for locating the apparent horizon in numerically constructed dynamical 3D black hole spacetimes. Instead of solving the zero expansion partial differential equation, our method uses a minimization procedure. Converting the PDE problem to minimization eliminates the difficulty of imposing suitable boundary conditions for the PDE. We demonstrate the effectiveness of this method in both 2D and 3D cases. The method is also highly parallelizable for implementation in massively parallel computers.
ISSN:2331-8422