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E-Thesis 371 views 190 downloads

Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows. / Benjamin James Evans

Swansea University Author: Benjamin James Evans

Abstract

This thesis presents research carried out at The Civil and Computational Engineering Centre at Swansea University between September 2004 and December 2007. The focus of the research was the application of modern finite element solution techniques to the governing equations of molecular gas dynamics...

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Published: 2008
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42618
first_indexed 2018-08-02T18:55:08Z
last_indexed 2018-08-03T10:10:38Z
id cronfa42618
recordtype RisThesis
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spelling 2018-08-02T16:24:29.8682073 v2 42618 2018-08-02 Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows. 48cc5d153ffdcd55b799f7b82cd2b79b NULL Benjamin James Evans Benjamin James Evans true true 2018-08-02 This thesis presents research carried out at The Civil and Computational Engineering Centre at Swansea University between September 2004 and December 2007. The focus of the research was the application of modern finite element solution techniques to the governing equations of molecular gas dynamics in order to solve macroscopic gas flow problems. The journey of research began by considering and comparing various finite difference and finite element formulations in the solution of a simple scalar convection equation. This formed the basis for developing a solver for a variety of forms of the Boltzmann equation of molecular gas dynamics, and application of these solvers to a range of subsonic, transonic and supersonic gas flow problems. The merits and drawbacks of the molecular approach, particularly when compared with more traditional continuum CFD solvers, are identified along with possible extensions to the work presented here. E-Thesis Computer engineering.;Applied mathematics. 31 12 2008 2008-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:29.8682073 2018-08-02T16:24:29.8682073 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Benjamin James Evans NULL 1 0042618-02082018162508.pdf 10805376.pdf 2018-08-02T16:25:08.6500000 Output 18605750 application/pdf E-Thesis true 2018-08-02T16:25:08.6500000 false
title Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows.
spellingShingle Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows.
Benjamin James Evans
title_short Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows.
title_full Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows.
title_fullStr Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows.
title_full_unstemmed Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows.
title_sort Finite element solution of the Boltzmann equation for rarefied macroscopic gas flows.
author_id_str_mv 48cc5d153ffdcd55b799f7b82cd2b79b
author_id_fullname_str_mv 48cc5d153ffdcd55b799f7b82cd2b79b_***_Benjamin James Evans
author Benjamin James Evans
author2 Benjamin James Evans
format E-Thesis
publishDate 2008
institution Swansea University
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 Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description This thesis presents research carried out at The Civil and Computational Engineering Centre at Swansea University between September 2004 and December 2007. The focus of the research was the application of modern finite element solution techniques to the governing equations of molecular gas dynamics in order to solve macroscopic gas flow problems. The journey of research began by considering and comparing various finite difference and finite element formulations in the solution of a simple scalar convection equation. This formed the basis for developing a solver for a variety of forms of the Boltzmann equation of molecular gas dynamics, and application of these solvers to a range of subsonic, transonic and supersonic gas flow problems. The merits and drawbacks of the molecular approach, particularly when compared with more traditional continuum CFD solvers, are identified along with possible extensions to the work presented here.
published_date 2008-12-31T07:30:51Z
_version_ 1821389777622007808
score 11.04748

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