2007

Testing outer boundary treatments for the Einstein equations

Rinne, Oliver, Lindblom, Lee, Scheel, Mark A.

Understand

Various methods of treating outer boundaries in numerical relativity are compared using a simple test problem: a Schwarzschild black hole with an outgoing gravitational wave perturbation.

Numerical solutions computed using different boundary treatments are compared to a `reference' numerical solution obtained by placing the outer boundary at a very large radius.
For each boundary treatment, the full solutions including constraint violations and extracted gravitational waves are compared to those of the reference solution, thereby assessing the reflections caused by the artificial boundary.
These tests use a first-order generalized harmonic formulation of the Einstein equations.

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