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A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows

Ben Evans Orcid Logo, Ken Morgan, Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

Applied Mathematical Modelling, Volume: 35, Issue: 3, Pages: 996 - 1015

Swansea University Authors: Ben Evans Orcid Logo, Oubay Hassan Orcid Logo, Kenneth Morgan Orcid Logo

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DOI (Published version): 10.1016/j.apm.2010.07.027

Published in: Applied Mathematical Modelling
ISSN: 0307-904X
Published: 2011
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URI: https://cronfa.swan.ac.uk/Record/cronfa6256
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spelling 2016-06-10T08:17:06.7972528 v2 6256 2013-09-03 A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows 3d273fecc8121fe6b53b8fe5281b9c97 0000-0003-3662-9583 Ben Evans Ben Evans true false 07479d73eba3773d8904cbfbacc57c5b 0000-0001-7472-3218 Oubay Hassan Oubay Hassan true false 17f3de8936c7f981aea3a832579c5e91 0000-0003-0760-1688 Kenneth Morgan Kenneth Morgan true false 2013-09-03 AERO Journal Article Applied Mathematical Modelling 35 3 996 1015 0307-904X 31 12 2011 2011-12-31 10.1016/j.apm.2010.07.027 This paper outlines a novel numerical scheme for the solution of the BGK form of the Boltzmann kinetic equation. The work underpinning this paper won Dr Evans the Mike Crisfield Prize in Computational Mechanics in 2006 and this paper is an extension to the ACME conference paper leading to the prize. The paper demonstrates how a mathematical description of a gas at a molecular level can lead to predicting macroscopic fluid dynamics phenomena. The numerical scheme within it is now being applied to micro and nano-scale problems. The unique aspect of the scheme is that it is not restricted to continuum, i.e. low Knudsen number, flows and therefore has much wider applicability than Navier-Stokes or Euler 'continuum' solvers. COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2016-06-10T08:17:06.7972528 2013-09-03T06:23:37.0000000 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Ben Evans 0000-0003-3662-9583 1 Ken Morgan 2 Oubay Hassan 0000-0001-7472-3218 3 Kenneth Morgan 0000-0003-0760-1688 4 0006256-08022016094442.pdf BGKpaper2011.pdf 2016-02-08T09:44:42.7430000 Output 4659022 application/pdf Accepted Manuscript true 2016-02-08T00:00:00.0000000 false
title A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
spellingShingle A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
Ben Evans
Oubay Hassan
Kenneth Morgan
title_short A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
title_full A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
title_fullStr A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
title_full_unstemmed A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
title_sort A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows
author_id_str_mv 3d273fecc8121fe6b53b8fe5281b9c97
07479d73eba3773d8904cbfbacc57c5b
17f3de8936c7f981aea3a832579c5e91
author_id_fullname_str_mv 3d273fecc8121fe6b53b8fe5281b9c97_***_Ben Evans
07479d73eba3773d8904cbfbacc57c5b_***_Oubay Hassan
17f3de8936c7f981aea3a832579c5e91_***_Kenneth Morgan
author Ben Evans
Oubay Hassan
Kenneth Morgan
author2 Ben Evans
Ken Morgan
Oubay Hassan
Kenneth Morgan
format Journal article
container_title Applied Mathematical Modelling
container_volume 35
container_issue 3
container_start_page 996
publishDate 2011
institution Swansea University
issn 0307-904X
doi_str_mv 10.1016/j.apm.2010.07.027
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
published_date 2011-12-31T03:07:41Z
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score 11.012678

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