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E-Thesis 350 views 94 downloads

A hybrid spectral element method for the time domain solution of wave scattering problems. / Richard Wyn Davies

Swansea University Author: Richard Wyn Davies

Abstract

This thesis considers the development and analysis of a hybrid spectral element method for the solution of two-dimensional wave scattering problems in the time domain. The components, namely a quadrilateral formulation of the diagonal mass matrix spectral element method and a triangular formulation...

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Published: 2007
Institution: Swansea University
Degree level: Doctoral
Degree name: Ph.D
URI: https://cronfa.swan.ac.uk/Record/cronfa42272
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first_indexed 2018-08-02T18:54:18Z
last_indexed 2018-08-03T10:09:42Z
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spelling 2018-08-02T16:24:28.6513889 v2 42272 2018-08-02 A hybrid spectral element method for the time domain solution of wave scattering problems. edbea292e02f0c247faa7ef3ccf561f0 NULL Richard Wyn Davies Richard Wyn Davies true true 2018-08-02 This thesis considers the development and analysis of a hybrid spectral element method for the solution of two-dimensional wave scattering problems in the time domain. The components, namely a quadrilateral formulation of the diagonal mass matrix spectral element method and a triangular formulation of the spectral discontinuous Galerkin finite element method, are introduced and tested separately before being coupled to form the final hybrid procedure. Subsequently, a simple circular scattering problem is analysed to validate the computational model and various methods of curved boundary representation are tested to assess their impact on solution accuracy. Finally, a range of two-dimensional wave scattering problems are modelled, showing the computational efficiency of the higher order approximation in comparison with low order linear models. E-Thesis Computer science. 31 12 2007 2007-12-31 COLLEGE NANME Engineering COLLEGE CODE Swansea University Doctoral Ph.D 2018-08-02T16:24:28.6513889 2018-08-02T16:24:28.6513889 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Richard Wyn Davies NULL 1 0042272-02082018162441.pdf 10797980.pdf 2018-08-02T16:24:41.4270000 Output 6871277 application/pdf E-Thesis true 2018-08-02T16:24:41.4270000 false
title A hybrid spectral element method for the time domain solution of wave scattering problems.
spellingShingle A hybrid spectral element method for the time domain solution of wave scattering problems.
Richard Wyn Davies
title_short A hybrid spectral element method for the time domain solution of wave scattering problems.
title_full A hybrid spectral element method for the time domain solution of wave scattering problems.
title_fullStr A hybrid spectral element method for the time domain solution of wave scattering problems.
title_full_unstemmed A hybrid spectral element method for the time domain solution of wave scattering problems.
title_sort A hybrid spectral element method for the time domain solution of wave scattering problems.
author_id_str_mv edbea292e02f0c247faa7ef3ccf561f0
author_id_fullname_str_mv edbea292e02f0c247faa7ef3ccf561f0_***_Richard Wyn Davies
author Richard Wyn Davies
author2 Richard Wyn Davies
format E-Thesis
publishDate 2007
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 considers the development and analysis of a hybrid spectral element method for the solution of two-dimensional wave scattering problems in the time domain. The components, namely a quadrilateral formulation of the diagonal mass matrix spectral element method and a triangular formulation of the spectral discontinuous Galerkin finite element method, are introduced and tested separately before being coupled to form the final hybrid procedure. Subsequently, a simple circular scattering problem is analysed to validate the computational model and various methods of curved boundary representation are tested to assess their impact on solution accuracy. Finally, a range of two-dimensional wave scattering problems are modelled, showing the computational efficiency of the higher order approximation in comparison with low order linear models.
published_date 2007-12-31T03:52:38Z
_version_ 1763752603878948864
score 11.035765

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