Preprints
https://doi.org/10.5194/gmdd-6-3743-2013
https://doi.org/10.5194/gmdd-6-3743-2013

Submitted as: development and technical paper 13 Jul 2013

Submitted as: development and technical paper | 13 Jul 2013

Review status: this preprint was under review for the journal GMD but the revision was not accepted.

CUDA-C implementation of the ADER-DG method for linear hyperbolic PDEs

C. E. Castro1,*, J. Behrens2, and C. Pelties3 C. E. Castro et al.
  • 1Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D Arica, Chile
  • 2KlimaCampus, University of Hamburg, Grindelberg 5, 20144 Hamburg, Germany
  • 3Department of Earth and Environmental Sciences, Geophysics Section, Ludwig-Maximilians-Universität, Munich, Germany
  • *formerly at: KlimaCampus, University of Hamburg, Hamburg, Germany

Abstract. We implement the ADER-DG numerical method using the CUDA-C language to run the code in a Graphic Processing Unit (GPU). We focus on solving linear hyperbolic partial differential equations where the method can be expressed as a combination of precomputed matrix multiplications becoming a good candidate to be used on the GPU hardware. Moreover, the method is arbitrarily high-order involving intensive work on local data, a property that is also beneficial for the target hardware. We compare our GPU implementation against CPU versions of the same method observing similar convergence properties up to a threshold where the error remains fixed. This behaviour is in agreement with the CPU version but the threshold is larger that in the CPU case. We also observe a big difference when considering single and double precision where in the first case the threshold error is significantly larger. Finally, we did observe a speed up factor in computational time but this is relative to the specific test or benchmark problem.

C. E. Castro et al.

 
Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
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Status: closed
Status: closed
AC: Author comment | RC: Referee comment | SC: Short comment | EC: Editor comment
Printer-friendly Version - Printer-friendly version Supplement - Supplement

C. E. Castro et al.

C. E. Castro et al.

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