Publisher DOI: 10.2140/camcos.2017.12.109
arXiv ID: 1509.01572v3
Title: Time parallel gravitational collapse simulation
Language: English
Authors: Kreienbuehl, Andreas 
Benedusi, Pietro 
Ruprecht, Daniel  
Krause, Rolf 
Keywords: 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
Issue Date: 8-May-2017
Source: Communications in Applied Mathematics and Computational Science 12 (1): 109-128 (2017-05-08)
Journal: Communications in applied mathematics and computational science 
Abstract (english): 
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.
ISSN: 1559-3940
Document Type: Article
Peer Reviewed: Yes
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