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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; Ken Morgan; Oubay Hassan

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

Swansea University Author: Evans, Ben

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 2016-06-10T08:17:06Z v2 6256 2013-09-03 A discontinuous finite element solution of the Boltzmann kinetic equation in collisionless and BGK forms for macroscopic gas flows Ben Evans Ben Evans true 0000-0003-3662-9583 false 3d273fecc8121fe6b53b8fe5281b9c97 2890c45927cb2feac2e0ea3655f09850 A8szpO4BEmrlUIP8KUVwqggr5y2nBRz3haj4DmVVDsQ= 2013-09-03 EEN Journal article Applied Mathematical Modelling 35 3 996 1015 0307-904X 0 0 2011 2011-01-01 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 of Engineering Engineering CENG EEN Computational Mechanics 2016-06-10T08:17:06Z 2013-09-03T06:23:37Z College of Engineering Engineering Ben Evans 1 Ken Morgan 2 Oubay Hassan 3 0006256-08022016094442.pdf BGKpaper2011.pdf 2016-02-08T09:44:42Z Output 4659022 application/pdf AM true Published to Cronfa 08/02/2016 2016-02-08T00:00:00 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
Evans, Ben
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
author_id_fullname_str_mv 3d273fecc8121fe6b53b8fe5281b9c97_***_Evans, Ben
author Evans, Ben
author2 Ben Evans
Ken Morgan
Oubay Hassan
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 College of Engineering
hierarchytype
hierarchy_top_id collegeofengineering
hierarchy_top_title College of Engineering
hierarchy_parent_id collegeofengineering
hierarchy_parent_title College of Engineering
department_str Engineering{{{_:::_}}}College of Engineering{{{_:::_}}}Engineering
document_store_str 1
active_str 1
researchgroup_str Computational Mechanics
published_date 2011-01-01T04:44:19Z
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