Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-04-07
Class.Quant.Grav. 23 (2006) 5439-5450
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages, 5 figures. Included changes suggested by referees
Scientific paper
10.1088/0264-9381/23/17/019
Cauchy-Characteristic Matching (CCM), the combination of a central 3+1 Cauchy code with an exterior characteristic code connected across a time-like interface, is a promising technique for the generation and extraction of gravitational waves. While it provides a tool for the exact specification of boundary conditions for the Cauchy evolution, it also allows to follow gravitational radiation all the way to infinity, where it is unambiguously defined. We present a new fourth order accurate finite difference CCM scheme for a first order reduction of the wave equation around a Schwarzschild black hole in axisymmetry. The matching at the interface between the Cauchy and the characteristic regions is done by transfering appropriate characteristic/null variables. Numerical experiments indicate that the algorithm is fourth order convergent. As an application we reproduce the expected late-time tail decay for the scalar field.
No associations
LandOfFree
Exact boundary conditions in numerical relativity using multiple grids: scalar field tests does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact boundary conditions in numerical relativity using multiple grids: scalar field tests, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact boundary conditions in numerical relativity using multiple grids: scalar field tests will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-723321