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

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Date

2017-12-14

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Wiley

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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Keywords

Technology, Engineering, Multidisciplinary, Mathematics, Interdisciplinary Applications, Engineering, Mathematics, absorbing boundary condition, discontinuous Galerkin, Finite element method, GPU computing, transient wave propagation, ACOUSTIC SCATTERING PROBLEMS, PERFECTLY MATCHED LAYER, WAVE-PROPAGATION, HETEROGENEOUS MEDIA, HIGH-FREQUENCY, ELASTIC-WAVES, DGTD METHOD, APPROXIMATIONS, SIMULATION, EQUATION

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