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From h to p Efficiently: Selecting the OptimalSpectral/hp Discretisation in Three Dimensions

Published online by Cambridge University Press:  16 May 2011

C. D. Cantwell ,
S. J. Sherwin ,
R. M. Kirby  and
P. H. J. Kelly
C. D. Cantwell*
Affiliation:
Department of Mathematics, Imperial College London, London, SW7 2AZ, UK
S. J. Sherwin
Affiliation:
Department of Aeronautics, Imperial College London, London, SW7 2AZ, UK
R. M. Kirby
Affiliation:
School of Computing, University of Utah, Salt Lake City, Utah, USA
P. H. J. Kelly
Affiliation:
Department of Computing, Imperial College London, London, SW7 2AZ, UK
*
⋆ Corresponding author. E-mail:c.cantwell@imperial.ac.uk
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Abstract

There is a growing interest in high-order finite and spectral/hp elementmethods using continuous and discontinuous Galerkin formulations. In this paper weinvestigate the effect of h- and p-type refinement onthe relationship between runtime performance and solution accuracy. The broad spectrum ofpossible domain discretisations makes establishing a performance-optimal selectionnon-trivial. Through comparing the runtime of different implementations for evaluatingoperators over the space of discretisations with a desired solution tolerance, wedemonstrate how the optimal discretisation and operator implementation may be selected fora specified problem. Furthermore, this demonstrates the need for codes to support bothlow- and high-order discretisations.

Keywords

elementoptimisationcode performance
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 6 , Issue 3: Computational aerodynamics , 2011 , pp. 84 - 96
Copyright
© EDP Sciences, 2011

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References

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