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.
Cite
@article{arxiv.1507.02557,
title = {GPU-accelerated discontinuous Galerkin methods on hybrid meshes},
author = {Jesse Chan and Zheng Wang and Axel Modave and Jean-Francois Remacle and T. Warburton},
journal= {arXiv preprint arXiv:1507.02557},
year = {2016}
}
Comments
Submitted to CMAME