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

  • Andrew GiulianiEmail author
  • Lilia Krivodonova
Conference paper
  • 1.4k Downloads

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This research was supported in part by the Natural Sciences and Engineering Research Council of Canada (NSERC) grant 341373-07 and the NSERC CGS-M grant.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.University of WaterlooWaterlooCanada

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