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Velocity–pressure coupling on GPUs

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Abstract

We explore the possibilities to accelerate simulations in computational fluid dynamics by additional graphics processing units (GPUs). By examining some examples of stationary incompressible flows from the industrial practice we demonstrate that the potential speedup obtained by deploying GPU accelerated linear solvers alone is limited if standard segregated algorithms are used. However, recently presented velocity–pressure coupling algorithms are an attractive alternative to these segregated algorithms. We present an efficient AMG solver for the coupled linear system of mixed elliptic–hyperbolic character and show that the GPU-accelerated version of this linear solver accelerates the velocity–pressure coupling scheme by almost 50 % compared to a competitive CPU implementation. Compared to standard segregated methods, the computing time of the whole simulation is reduced by up to 75 %.

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Acknowledgments

Part of the contribution of Maximilian Emans was supported by the government of Upper Austria within the strategic program “Innovatives Oberösterreich 2010plus”. The research of Manfred Liebmann was supported by the Austrian Science Fund FWF project SFB F032 “Mathematical Optimization and Applications in Biomedical Sciences”.

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Authors and Affiliations

  1. Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austria

    Maximilian Emans

  2. Industrial Mathematics Competence Centre GmbH (IMCC), Linz, Austria

    Maximilian Emans

  3. Institute for Mathematics and Scientific Computing, University of Graz, Graz, Austria

    Manfred Liebmann

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  1. Maximilian Emans
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  2. Manfred Liebmann
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Correspondence to Maximilian Emans.

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Emans, M., Liebmann, M. Velocity–pressure coupling on GPUs. Computing 95 (Suppl 1), 123–143 (2013). https://doi.org/10.1007/s00607-012-0228-6

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  • DOI: https://doi.org/10.1007/s00607-012-0228-6

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