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

International Journal of Computational Fluid Dynamics, Pages: 1 - 9

Swansea University Author: Ben, Evans

  • Accepted Manuscript under embargo until: 20th August 2020

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: 2019
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa51144
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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: College of Engineering
Start Page: 1
End Page: 9