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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
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.
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https://hal.archives-ouvertes.fr/hal-01383074
Contributor : Axel Modave <>
Submitted on : Tuesday, October 18, 2016 - 9:13:13 AM
Last modification on : Wednesday, June 2, 2021 - 3:41:06 AM

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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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