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High order parallelisation of an unstructured grid, discontinuous-Galerkin finite element solver for the Boltzmann–BGK equation

Ben Evans Orcid Logo, M. Hanna, M. Dawson, M. Mesiti

International Journal of Computational Fluid Dynamics, Volume: 33, Issue: 8, Pages: 343 - 351

Swansea University Author: Ben Evans Orcid Logo

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DOI (Published version): 10.1080/10618562.2019.1651843

Abstract

This paper outlines the implementation and performance of a parallelisation approach involving partitioning of both physical space and velocity space domains for finite element solution of the Boltzmann-BGK equation. The numerical solver is based on a discontinuous Taylor–Galerkin approach. To the a...

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Published in: International Journal of Computational Fluid Dynamics
ISSN: 1061-8562 1029-0257
Published: Informa UK Limited 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa51144
Abstract: This paper outlines the implementation and performance of a parallelisation approach involving partitioning of both physical space and velocity space domains for finite element solution of the Boltzmann-BGK equation. The numerical solver is based on a discontinuous Taylor–Galerkin approach. To the authors' knowledge this is the first time a ‘high order’ parallelisation, or `phase space parallelisation', approach has been attempted in conjunction with a numerical solver of this type. Restrictions on scalability have been overcome with the implementation detailed in this paper. The developed algorithm has major advantages over continuum solvers in applications where strong discontinuities prevail and/or in rarefied flow applications where the Knudsen number is large. Previous work by the authors has outlined the range of applications that this solver is capable of tackling. The paper demonstrates that the high order parallelisation implemented is significantly more effective than previous implementations at exploiting High Performance Computing architectures.
Keywords: Knudsen, Boltzmann–BGK, computational fluid dynamics, kinetic theory, hypersonics, rarefied gas flow, discontinuous Galerkin
College: Faculty of Science and Engineering
Issue: 8
Start Page: 343
End Page: 351

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