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Journal Articles Journal of Computational Physics Year : 2016

GPU-accelerated discontinuous Galerkin methods on hybrid meshes

Abstract

We present a time-explicit discontinuous Galerkin (DG) solver for the time-domain acoustic wave equation on hybrid meshes containing vertex-mapped hexahedral, wedge, pyramidal and tetrahedral elements. Discretely energy-stable formulations are presented for both Gauss–Legendre and Gauss–Legendre–Lobatto (Spectral Element) nodal bases for the hexahedron. Stable timestep restrictions for hybrid meshes are derived by bounding the spectral radius of the DG operator using order-dependent constants in trace and Markov inequalities. Computational efficiency is achieved under a combination of element-specific kernels (including new quadrature-free operators for the pyramid), multi-rate timestepping, and acceleration using Graphics Processing Units.

Dates and versions

hal-01378486 , version 1 (10-10-2016)

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Jesse Chan, Zheng Wang, Axel Modave, Jean-Francois Remacle, Tim Warburton. GPU-accelerated discontinuous Galerkin methods on hybrid meshes. Journal of Computational Physics, 2016, 318, pp.142 - 168. ⟨10.1016/j.jcp.2016.04.003⟩. ⟨hal-01378486⟩

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