8–11 Sept 2026
University of Southampton
Europe/London timezone

ExaGRyPE: Numerical Relativity Solvers Based upon the Hyperbolic PDEs Solver Engine ExaHyPE

Not scheduled
20m
Building 56 (University of Southampton)

Building 56

University of Southampton

Highfield, Southampton, SO17 1BJ, UK
CoCoNuT meeting (9-11 Sept)

Speaker

Han Zhang (Durham University)

Description

ExaGRyPE is a suite of solvers for numerical relativity based on ExaHyPE 2, our second-generation Exascale Hyperbolic PDE Engine. This code tackles the Einstein equations/relativistic hydrodynamics equations under a 3+1 foliation, with a focus on compact object spacetimes. The implementation utilizes a block-structured Cartesian grid with higher-order Finite Difference schemes and adaptive mesh refinement while enabling massive parallelism through message passing, domain decomposition, and task parallelism.

Our approach formalizes simulation creation as a sequence of lowering operations, where abstract logical tasks are broken down into progressively finer tasks until reaching a C++ executable level. The program logic is specified through a domain-specific Python interface, which maps to numerical tasks, then to technical tasks for parallelization, and finally to task graphs containing PDE evaluations, initial conditions, and boundary conditions. This architecture creates a rigorous separation of concerns, shielding users from technical details and simplifying the development of novel physical models. This approach enables researchers to efficiently develop and deploy novel physical models while leveraging the full computational potential of exascale systems.

In this talk, we are going to present the ExaGRyPE architecture and demonstrate its capabilities. We will also highlight some unique features and several active code developments in the application and engine framework.

Author

Han Zhang (Durham University)

Co-authors

Baojiu Li (Institute for Computational Cosmology, Durham University, UK) Dr Cristian Barrera-Hinojosa (Universidad de Valparaíso) Mr Mario Wille (Technische Universität München) Mr Timothy Stokes (Durham University) Prof. Tobias Weinzierl (Durham University)

Presentation materials

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