English

ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems

Mathematical Software 2020-07-15 v3 Numerical Analysis Numerical Analysis

Abstract

ExaHyPE ("An Exascale Hyperbolic PDE Engine") is a software engine for solving systems of first-order hyperbolic partial differential equations (PDEs). Hyperbolic PDEs are typically derived from the conservation laws of physics and are useful in a wide range of application areas. Applications powered by ExaHyPE can be run on a student's laptop, but are also able to exploit thousands of processor cores on state-of-the-art supercomputers. The engine is able to dynamically increase the accuracy of the simulation using adaptive mesh refinement where required. Due to the robustness and shock capturing abilities of ExaHyPE's numerical methods, users of the engine can simulate linear and non-linear hyperbolic PDEs with very high accuracy. Users can tailor the engine to their particular PDE by specifying evolved quantities, fluxes, and source terms. A complete simulation code for a new hyperbolic PDE can often be realised within a few hours - a task that, traditionally, can take weeks, months, often years for researchers starting from scratch. In this paper, we showcase ExaHyPE's workflow and capabilities through real-world scenarios from our two main application areas: seismology and astrophysics.

Keywords

Cite

@article{arxiv.1905.07987,
  title  = {ExaHyPE: An Engine for Parallel Dynamically Adaptive Simulations of Wave Problems},
  author = {Anne Reinarz and Dominic E. Charrier and Michael Bader and Luke Bovard and Michael Dumbser and Kenneth Duru and Francesco Fambri and Alice-Agnes Gabriel and Jean-Matthieu Gallard and Sven Köppel and Lukas Krenz and Leonhard Rannabauer and Luciano Rezzolla and Philipp Samfass and Maurizio Tavelli and Tobias Weinzierl},
  journal= {arXiv preprint arXiv:1905.07987},
  year   = {2020}
}
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