We present the first results on the construction of an exascale hyperbolic PDE engine (ExaHyPE), a code for the next generation of supercomputers with the objective to evolve dynamical spacetimes of black holes, neutron stars and binaries. We solve a novel first order formulation of Einstein field equations in the conformal and constraint damping Z4 formulation (CCZ4) coupled to ideal general relativistic magnetohydrodynamics (GRMHD), using divergence-cleaning. We adopt a novel communication-avoiding one-step ADER-DG scheme with an a-posteriori subcell finite volume limiter on adaptive spacetrees. Despite being only at its first stages, the code passes a number of tests in special and general relativity.
@article{arxiv.1711.08221,
title = {Towards an exascale code for GRMHD on dynamical spacetimes},
author = {Sven Köppel},
journal= {arXiv preprint arXiv:1711.08221},
year = {2019}
}
Comments
10 pages, 7 figures, accepted paper for the Proceedings of ASTRONUM-2017 -- the 12th International Conference on Numerical Modeling of Space Plasma Flows (Journal of Physics: Conference Series); v2 version matching that published at IOP