High-order absorbing boundary conditions with corner/edge compatibility for GPU-accelerated discontinuous Galerkin wave simulations

Axel Modave 1, 2 Andreas Atle 3 Jesse Chan 2, 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 high-order absorbing boundary conditions (HABCs) with a nodal discontinuous Galerkin method 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. We have considered academic benchmarks, as well as a realistic benchmark based on the SEAM model used in exploration geophysics.
Type de document :
Pré-publication, Document de travail
2016
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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 : samedi 18 février 2017 - 01:12:44

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  • HAL Id : hal-01383074, version 1
  • ARXIV : 1610.05023

Citation

Axel Modave, Andreas Atle, Jesse Chan, Tim Warburton. High-order absorbing boundary conditions with corner/edge compatibility for GPU-accelerated discontinuous Galerkin wave simulations. 2016. <hal-01383074>

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