TY - JOUR
T1 - ExaHyPE
T2 - An engine for parallel dynamically adaptive simulations of wave problems
AU - Reinarz, Anne
AU - Charrier, Dominic E.
AU - Bader, Michael
AU - Bovard, Luke
AU - Dumbser, Michael
AU - Duru, Kenneth
AU - Fambri, Francesco
AU - Gabriel, Alice Agnes
AU - Gallard, Jean Matthieu
AU - Köppel, Sven
AU - Krenz, Lukas
AU - Rannabauer, Leonhard
AU - Rezzolla, Luciano
AU - Samfass, Philipp
AU - Tavelli, Maurizio
AU - Weinzierl, Tobias
N1 - Publisher Copyright:
© 2020 The Authors
PY - 2020/9
Y1 - 2020/9
N2 - 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. Program summary: Program title: ExaHyPE-Engine Program Files doi: http://dx.doi.org/10.17632/6sz8h6hnpz.1 Licensing provisions: BSD 3-clause Programming languages: C++, Python, Fortran Nature of Problem: The ExaHyPE PDE engine offers robust algorithms to solve linear and non-linear hyperbolic systems of PDEs written in first order form. The systems may contain both conservative and non-conservative terms. Solution method: ExaHyPE employs the discontinuous Galerkin (DG) method combined with explicit one-step ADER (arbitrary high-order derivative) time-stepping. An a-posteriori limiting approach is applied to the ADER-DG solution, whereby spurious solutions are discarded and recomputed with a robust, patch-based finite volume scheme. ExaHyPE uses dynamical adaptive mesh refinement to enhance the accuracy of the solution around shock waves, complex geometries, and interesting features.
AB - 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. Program summary: Program title: ExaHyPE-Engine Program Files doi: http://dx.doi.org/10.17632/6sz8h6hnpz.1 Licensing provisions: BSD 3-clause Programming languages: C++, Python, Fortran Nature of Problem: The ExaHyPE PDE engine offers robust algorithms to solve linear and non-linear hyperbolic systems of PDEs written in first order form. The systems may contain both conservative and non-conservative terms. Solution method: ExaHyPE employs the discontinuous Galerkin (DG) method combined with explicit one-step ADER (arbitrary high-order derivative) time-stepping. An a-posteriori limiting approach is applied to the ADER-DG solution, whereby spurious solutions are discarded and recomputed with a robust, patch-based finite volume scheme. ExaHyPE uses dynamical adaptive mesh refinement to enhance the accuracy of the solution around shock waves, complex geometries, and interesting features.
KW - ADER-DG
KW - AMR
KW - Finite volumes
KW - Hyperbolic
KW - MPI
KW - MPI+X
KW - PDE
KW - TBB
UR - http://www.scopus.com/inward/record.url?scp=85081228666&partnerID=8YFLogxK
U2 - 10.1016/j.cpc.2020.107251
DO - 10.1016/j.cpc.2020.107251
M3 - Article
AN - SCOPUS:85081228666
SN - 0010-4655
VL - 254
JO - Computer Physics Communications
JF - Computer Physics Communications
M1 - 107251
ER -