| Автор | Stephen R Lau |
| Дата выпуска | 2004-09-07 |
| dc.description | For scalar, electromagnetic, or gravitational wave propagation on a fixed Schwarzschild black hole background, we consider the exact nonlocal radiation outer boundary conditions (ROBC) appropriate for a spherical outer boundary of finite radius enclosing the black hole. Such boundary conditions feature temporal integral convolution between each spherical harmonic mode of the wave field and a time-domain radiation kernel (TDRK). For each orbital angular integer l the associated TDRK is the inverse Laplace transform of a frequency-domain radiation kernel (FDRK). Drawing upon theory and numerical methods developed in a previous article, we numerically implement the ROBC via a rapid algorithm involving approximation of the FDRK by a rational function. Such an approximation is tailored to have relative error ε uniformly along the axis of imaginary Laplace frequency. Theoretically, ε is also a long-time bound on the relative convolution error. Via study of one-dimensional radial evolutions, we demonstrate that the ROBC capture the phenomena of quasinormal ringing and decay tails. We also consider a three-dimensional evolution based on a spectral code, one showing that the ROBC yield accurate results for the scenario of a wave packet striking the boundary at an angle. Our work is a partial generalization to Schwarzschild wave propagation and Heun functions of the methods developed for flatspace wave propagation and Bessel functions by Alpert, Greengard, and Hagstrom. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Копирайт | 2004 IOP Publishing Ltd |
| Название | Rapid evaluation of radiation boundary kernels for time-domain wave propagation on black holes: implementation and numerical testsBased on [1, 2]. |
| Тип | paper |
| DOI | 10.1088/0264-9381/21/17/008 |
| Electronic ISSN | 1361-6382 |
| Print ISSN | 0264-9381 |
| Журнал | Classical and Quantum Gravity |
| Том | 21 |
| Первая страница | 4147 |
| Последняя страница | 4192 |
| Аффилиация | Stephen R Lau; Applied Mathematics Group, Department of Mathematics, University of North Carolina, Chapel Hill, NC 27599-3250, USA |
| Выпуск | 17 |
