An h-Adaptive Implementation of the Discontinuous Galerkin Method for Nonlinear Hyperbolic Conservation Laws on Unstructured Meshes for Graphics Processing Units

Andrew Giuliani () and Lilia Krivodonova ()
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Andrew Giuliani: University of Waterloo
Lilia Krivodonova: University of Waterloo

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 435-445 from Springer

Abstract: Abstract For computationally difficult problems, mesh adaptivity becomes a necessity in order to efficiently use computing resources and resolve fine solution features. The discontinuous Galerkin (DG) method for hyperbolic conservation laws is a numerical method adapted to execution on graphics processing units (GPUs). In this work, we give the framework of an efficient h-adaptive implementation of the modal DG method on NVIDIA GPUs, outlining implementation considerations in the context of GPU computing. Finally, we demonstrate the effectiveness of our implementation with a computed example.

Keywords: Graphic Processing Unit; Discontinuous Galerkin; Discontinuous Galerkin Method; Unstructured Mesh; Error Indicator (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_40

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DOI: 10.1007/978-3-319-30379-6_40

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