Chan, J.Wang, Z.Modave, A.Remacle, J.-F.Warburton, T.2018-01-192018-01-192016-08-010021-9991http://hdl.handle.net/10919/81867We 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.142 - 168 (27) page(s)application/pdfenIn CopyrightTechnologyComputer Science, Interdisciplinary ApplicationsPhysics, MathematicalComputer SciencePhysicsDiscontinuous GalerkinGPUHigh orderHybrid meshTimestep restrictionWave equationSPECTRAL ELEMENT METHODTRACE INEQUALITIESORTHOGONAL BASESFINITE-ELEMENTSSHAPE FUNCTIONSGRIDSINTEGRATIONADVECTIONEQUATIONSPYRAMIDSArticle - Refereedhttps://doi.org/10.1016/j.jcp.2016.04.003318Warburton, T [0000-0002-3202-1151]1090-2716