A Multiple-Grid-Patch Evolution Scheme for 3-D Black Hole Excision
| dc.creator | Thornburg, Jonathan | |
| dc.date | 2000-12-04 | |
| dc.date.accessioned | 2026-07-07T03:25:29Z | |
| dc.date.available | 2026-07-07T03:25:29Z | |
| dc.description | When using black hole excision to numerically evolve a fully generic black hole spacetime, most 3-D 3+1 codes use an $xyz$-topology (spatial) grid. In such a grid, an $r = \constant$ excision surface must be approximated by an irregular and non-smooth "staircase-shaped" excision grid boundary, which may introduce numerical instabilities into the evolution. In this paper I describe an alternate scheme, which uses multiple grid patches, each with topology $\{r \times ({\rm angular coordinates})\}$, to cover the slice outside the $r = \constant$ excision surface. The excision grid boundary is now smooth, so the evolution should be less prone to instabilities. With 4th order finite differencing, this code evolves Kerr initial data to ${\sim} 60M$ using the ADM equations; I'm currently implementing the BSSN equations in it in the hope that this will improve the stability. | |
| dc.description | LaTeX, 2 pages including 1 postscript figure; uses World Scientific style file ws-p9-75x6-50.cls (enclosed); to appear in Proceedings of the 9th Marcel Grossman Meeting; talk presented 6 July 2000 in MG9 session CM3 - Black Hole Collisions | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0012012 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0012012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33727 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A Multiple-Grid-Patch Evolution Scheme for 3-D Black Hole Excision | |
| dc.type | text |