Gowdy waves as a test-bed for constraint-preserving boundary conditions
General Relativity and Quantum Cosmology
2014-11-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0911.1208,
title = {Gowdy waves as a test-bed for constraint-preserving boundary conditions},
author = {C. Bona and C. Bona-Casas},
journal= {arXiv preprint arXiv:0911.1208},
year = {2014}
}
Comments
5 pages, 1 figure. Contribution to the Spanish Relativity Meeting 2009