Time parallel gravitational collapse simulation

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

Computer Science - Computational Engineering; Finance; and Science

Computer Science - Distributed; Parallel; and Cluster Computing

Computer Science - Performance

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Time parallel gravitational collapse simulation