Time parallel gravitational collapse simulation
arXiv:1509.01572 · doi:10.2140/camcos.2017.12.109
Abstract
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.
16 pages, 8 figures, 1 listing, and 1 table
References in corpus (4)
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Explicit Parallel-in-time Integration of a Linear Acoustic-Advection System
- Dynamical Singularity Resolution in Spherically Symmetric Black Hole Formation
- Toward fault-tolerant parallel-in-time integration with PFASST