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Gravity Seminar: ExaHyPE: An Exascale Hyperbolic PDE Engine, Anne Reinarz, Durham University
March 17, 2023 @ 3:00 pm - 4:00 pm
ExaHyPE is a hyperbolic PDE engine capable of solving systems of first order hyperbolic PDEs. The project provides a space-tree discretization of the computational domain, higher-order ADER DG schemes and a-posteriori subcell limiters. The two main applications currently tackled with this engine are long-range seismic risk assessment and the search for gravitational waves emitted by binary neutron stars.
The primary goal of the project was to enable medium-sized interdisciplinary research teams to realise extreme-scale simulations quickly. Users of the engine write only their own application specific code and benefit immediately from the efficient adaptive mesh refinement algorithms and from the numerical schemes built into ExaHyPE. I will discuss several examples showing how few lines of code must be written to add new hyperbolic PDE systems into the engine. I will then show how the Einstein equations can be reformulated to fit within the ExaHyPE framework, and how to resolve numerical stability issues arising from the DG discretisation.