A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility

Axel Modave 1, 2 Andreas Atle 3 Jesse Chan 4 Tim Warburton 2
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : Discontinuous Galerkin finite element schemes exhibit attractive features for accurate large-scale wave-propagation simulations on modern parallel architectures. For many applications, these schemes must be coupled with non-reflective boundary treatments to limit the size of the computational domain without losing accuracy or computational efficiency, which remains a challenging task. In this paper, we present a combination of a nodal discontinuous Galerkin method with high-order absorbing boundary conditions (HABCs) for cuboidal computational domains. Compatibility conditions are derived for HABCs intersecting at the edges and the corners of a cuboidal domain. We propose a GPU implementation of the computational procedure, which results in a multidimensional solver with equations to be solved on 0D, 1D, 2D and 3D spatial regions. Numerical results demonstrate both the accuracy and the computational efficiency of our approach.
Type de document :
Article dans une revue
International Journal for Numerical Methods in Engineering, Wiley, 2017, 〈10.1002/nme.5576〉
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https://hal.archives-ouvertes.fr/hal-01383074
Contributeur : Axel Modave <>
Soumis le : mardi 18 octobre 2016 - 09:13:13
Dernière modification le : jeudi 5 octobre 2017 - 16:14:02

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Axel Modave, Andreas Atle, Jesse Chan, Tim Warburton. A GPU-accelerated nodal discontinuous Galerkin method with high-order absorbing boundary conditions and corner/edge compatibility. International Journal for Numerical Methods in Engineering, Wiley, 2017, 〈10.1002/nme.5576〉. 〈hal-01383074〉

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