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Stabilised finite elements for compressible fluid flow. / Daniel Memory

Swansea University Author: Daniel Memory

Abstract

A finite element formulation for the Euler equations of fluid dynamics is developed and analysed in this work. An overview of fluid dynamics is presented along with an introduction to the finite element method. The Galerkin method is then applied to model problems to demonstrate its performance. Sta...

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Published: 2014
Institution: Swansea University
Degree level: Master of Philosophy
Degree name: M.Phil
URI: https://cronfa.swan.ac.uk/Record/cronfa42248
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last_indexed 2019-10-21T16:47:28Z
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spelling 2018-08-16T14:39:02.9105634 v2 42248 2018-08-02 Stabilised finite elements for compressible fluid flow. 17e68c0ca22d45175d5d6803579f852f NULL Daniel Memory Daniel Memory true true 2018-08-02 A finite element formulation for the Euler equations of fluid dynamics is developed and analysed in this work. An overview of fluid dynamics is presented along with an introduction to the finite element method. The Galerkin method is then applied to model problems to demonstrate its performance. Stabilisation in the form of the Galerkin Least-Squares method is added and different variations of stabilisation parameter are analysed for different governing equations. For temporal discretisation the generalised-Q method is applied and studied. The Euler equations of fluid dynamics are transformed into primitive variable form and are stabilised so that the method can be tested for compressible flow problems. It is shown that certain stabilisation parameters can be successfully adapted for use with the Euler equations in primitive variables in order to simulate inviscid fluids. E-Thesis Fluid mechanics. 31 12 2014 2014-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Master of Philosophy M.Phil 2018-08-16T14:39:02.9105634 2018-08-02T16:24:28.5577850 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Daniel Memory NULL 1 0042248-02082018162439.pdf 10797956.pdf 2018-08-02T16:24:39.6330000 Output 2840225 application/pdf E-Thesis true 2018-08-02T16:24:39.6330000 false
title Stabilised finite elements for compressible fluid flow.
spellingShingle Stabilised finite elements for compressible fluid flow.
Daniel Memory
title_short Stabilised finite elements for compressible fluid flow.
title_full Stabilised finite elements for compressible fluid flow.
title_fullStr Stabilised finite elements for compressible fluid flow.
title_full_unstemmed Stabilised finite elements for compressible fluid flow.
title_sort Stabilised finite elements for compressible fluid flow.
author_id_str_mv 17e68c0ca22d45175d5d6803579f852f
author_id_fullname_str_mv 17e68c0ca22d45175d5d6803579f852f_***_Daniel Memory
author Daniel Memory
author2 Daniel Memory
format E-Thesis
publishDate 2014
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 A finite element formulation for the Euler equations of fluid dynamics is developed and analysed in this work. An overview of fluid dynamics is presented along with an introduction to the finite element method. The Galerkin method is then applied to model problems to demonstrate its performance. Stabilisation in the form of the Galerkin Least-Squares method is added and different variations of stabilisation parameter are analysed for different governing equations. For temporal discretisation the generalised-Q method is applied and studied. The Euler equations of fluid dynamics are transformed into primitive variable form and are stabilised so that the method can be tested for compressible flow problems. It is shown that certain stabilisation parameters can be successfully adapted for use with the Euler equations in primitive variables in order to simulate inviscid fluids.
published_date 2014-12-31T03:52:35Z
_version_ 1763752600889458688
score 11.037056

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