Gowdy waves as a test-bed for constraint-preserving boundary conditions

Details Gowdy waves as a test-bed for constraint-preserving boundary conditions Gowdy waves as a test-bed for constraint-preserving boundary conditions

2009-11-06

arxiv.org/abs/0911.1208v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, 1 figure. Contribution to the Spanish Relativity Meeting 2009

Scientific paper

Gowdy waves, one of the standard 'apples with apples' tests, is proposed as a test-bed for constraint-preserving boundary conditions in the non-linear regime. As an illustration, energy-constraint preservation is separately tested in the Z4 framework. Both algebraic conditions, derived from energy estimates, and derivative conditions, deduced from the constraint-propagation system, are considered. The numerical errors at the boundary are of the same order than those at the interior points.

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