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, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
2 Virginia Tech [Blacksburg]
3 Total E&P
4 Rice University [Houston]
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.
Keywords : unbounded domain wave propagation finite element absorbing boundary condition time domain discontinuous Galerkin
Type de document :
Article dans une revue
International Journal for Numerical Methods in Engineering, Wiley, 2017, 112 (11), pp.1659-1686. 〈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 11 janvier 2018 - 06:20:23

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UMA_ENSTA | INRIA | ENSTA | UNIV-PARIS-SACLAY | INRIA2017

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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, 112 (11), pp.1659-1686. 〈10.1002/nme.5576〉. 〈hal-01383074〉

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