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Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows

Rubén Sevilla Orcid Logo, Luca Borchini, Matteo Giacomini, Antonio Huerta

Computer Methods in Applied Mechanics and Engineering, Volume: 372, Start page: 113397

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1016/j.cma.2020.113397

Abstract

This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-order hybridisable discontinuous Galerkin formulation and the proper generalised decomposition rationale to construct an o...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: Elsevier BV 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55059
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last_indexed 2021-12-03T04:13:53Z
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spelling 2021-12-02T11:36:25.6745964 v2 55059 2020-08-24 Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2020-08-24 CIVL This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-order hybridisable discontinuous Galerkin formulation and the proper generalised decomposition rationale to construct an off-line solution for a given set of geometric parameters. The generalised solution contains the information for all the geometric parameters in a user-defined range and it can be used to compute sensitivities. The proposed approach circumvents many of the weaknesses of other approaches based on the proper generalised decomposition for computing generalised solutions of geometrically parametrised problems. Four numerical examples show the optimal mesh convergence properties of the proposed method and demonstrate its applicability in two and three dimensions, with particular emphasis on parametrised flows in microfluidics. Journal Article Computer Methods in Applied Mechanics and Engineering 372 113397 Elsevier BV 0045-7825 Reduced order model, Geometry parametrisation, Hybridisable discontinuous Galerkin (HDG), Proper generalised decomposition (PGD) 1 12 2020 2020-12-01 10.1016/j.cma.2020.113397 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University UKRI, EP/P033997/1 2021-12-02T11:36:25.6745964 2020-08-24T14:52:55.2601015 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Rubén Sevilla 0000-0002-0061-6214 1 Luca Borchini 2 Matteo Giacomini 3 Antonio Huerta 4 55059__18137__757c0bf165474708adc1b382ccf38761.pdf 55059 (2).pdf 2020-09-10T09:57:14.1587280 Output 4904620 application/pdf Version of Record true This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). true eng
title Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
spellingShingle Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
Rubén Sevilla
title_short Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
title_full Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
title_fullStr Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
title_full_unstemmed Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
title_sort Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Rubén Sevilla
Luca Borchini
Matteo Giacomini
Antonio Huerta
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 372
container_start_page 113397
publishDate 2020
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2020.113397
publisher Elsevier BV
college_str Faculty of Science and Engineering
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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
description This paper proposes a novel computational framework for the solution of geometrically parametrised flow problems governed by the Stokes equation. The proposed method uses a high-order hybridisable discontinuous Galerkin formulation and the proper generalised decomposition rationale to construct an off-line solution for a given set of geometric parameters. The generalised solution contains the information for all the geometric parameters in a user-defined range and it can be used to compute sensitivities. The proposed approach circumvents many of the weaknesses of other approaches based on the proper generalised decomposition for computing generalised solutions of geometrically parametrised problems. Four numerical examples show the optimal mesh convergence properties of the proposed method and demonstrate its applicability in two and three dimensions, with particular emphasis on parametrised flows in microfluidics.
published_date 2020-12-01T04:09:00Z
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score 11.016235

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