Black Hole Evolutions with Mesh Refinement:
Results from ATP02-0043-0056 (Gravitational Radiation from Binary Black Hole Mergers)
J. Centrella, PI (NASA/GSFC)
J. Baker, Co-I (NRC & NASA/GSFC)
D. Choi, Co-I (USRA & NASA/GSFC)
D. Brown, Co-I (NCSU)
Collaborators: J. van Meter (NRC & NASA/GSFC), D. Fiske (UMCP), B. Imbiriba (UMCP)
The evolution of a single black hole with the 1+log slicing condition
using Fixed Mesh Refinement (FMR):
Metric function gxx
on the Z=0 plane for the evolution of a single black hole
at 4 different times:
Note that gxx grows in time and the sharp gradient in
gxx passes through the refinement boundaries stably.
The
head-on collision
evolution of two initially non-moving, non-spinning black holes with different masses
using Adaptive Mesh Refinement (AMR):
Lapse function
on the Z=0 plane for a head-on collision
of black holes with unequal masses at 4 different times:
The figure shows the expansion of the refined regions
as the lapse function collapses near the centers of each black hole.
A black hole with mass M_1=2 is initially located at x=-5,
and another with mass M_2=1 is at x=5.
The black holes have zero linear momentum and zero spin initially.
The yellow lines indicate block boundaries; each block has nxb=nyb=nzb=8.
References
- K. C. B. New, D.-I. Choi, J. M. Centrella, P. MacNeice, M. F. Huq, and K. Olson, ``Three-dimensional adaptive evolutions of gravitational waves in numerical relativity'', Phys. Rev. D62, 084039 (2000).
- D.-I. Choi, J. D. Brown, B. Imbiriba, J. M. Centrella, P. MacNeice, ``Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries'', Journal of Computational Physics, 193, 398 (2004). (physics/0307036)
- B. Imbiriba, et al, ``Evolving a puncture black hole with fixed mesh refinement'', in preparation (2004).