Time parallel gravitational collapse simulation
Publikationstyp
Journal Article
Date Issued
2017-05-08
Sprache
English
Volume
12
Issue
1
Start Page
109
End Page
128
Citation
Communications in Applied Mathematics and Computational Science 12 (1): 109-128 (2017-05-08)
Publisher DOI
Scopus ID
ArXiv ID
Peer Reviewed
true
This article demonstrates the applicability of the parallel-in-time method Parareal to the numerical solution of the Einstein gravity equations for the spherical collapse of a massless scalar field. To account for the shrinking of the spatial domain in time, a tailored load balancing scheme is proposed and compared to load balancing based on number of time steps alone. The performance of Parareal is studied for both the sub-critical and black hole case; our experiments show that Parareal generates substantial speedup and, in the super-critical regime, can reproduce Choptuik's black hole mass scaling law.
Subjects
Choptuik scaling
Einstein-klein-gordon gravitational collapse
Load balancing
Parareal
Spatial coarsening
Speedup
General Relativity and Quantum Cosmology
General Relativity and Quantum Cosmology
Computer Science - Computational Engineering; Finance; and Science
Computer Science - Distributed; Parallel; and Cluster Computing
Computer Science - Performance