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Solution of geometrically parametrised problems within a CAD environment via model order reduction

Rubén Sevilla Orcid Logo, Sergio Zlotnik, Antonio Huerta

Computer Methods in Applied Mechanics and Engineering, Volume: 358, Start page: 112631

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1016/j.cma.2019.112631

Abstract

The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. That is, a solution able to include information for different geometrical parameter values and also allowing to compute rea...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 0045-7825
Published: 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa51756
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first_indexed 2019-09-10T15:31:35Z
last_indexed 2020-05-21T13:05:06Z
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spelling 2020-05-21T09:14:15.2321530 v2 51756 2019-09-10 Solution of geometrically parametrised problems within a CAD environment via model order reduction b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2019-09-10 CIVL The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. That is, a solution able to include information for different geometrical parameter values and also allowing to compute readily the sensitivities. Instead of problem dependent approaches, a general framework is presented for standard engineering environments where the geometry is defined by means of NURBS. The parameters controlling the geometry are now the control points characterising the NURBS curves or surfaces. The approach proposed here, valid for 2D and 3D scenarios, allows a seamless integration with CAD preprocessors. The proper generalised decomposition (PGD), which is applied here to compute explicit geometrically parametrised solutions, circumvents the curse of dimensionality. Moreover, optimal convergence rates are shown for PGD approximations of incompressible flows. Journal Article Computer Methods in Applied Mechanics and Engineering 358 112631 0045-7825 Geometry parametrisation, Reduced order model, Computer-aided design (CAD), Proper generalised decomposition (PGD) 31 12 2020 2020-12-31 10.1016/j.cma.2019.112631 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2020-05-21T09:14:15.2321530 2019-09-10T10:01:32.4459110 Rubén Sevilla 0000-0002-0061-6214 1 Sergio Zlotnik 2 Antonio Huerta 3 0051756-10092019100352.pdf sevilla2019(2).pdf 2019-09-10T10:03:52.4970000 Output 23451901 application/pdf Accepted Manuscript true 2020-09-24T00:00:00.0000000 © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ false eng
title Solution of geometrically parametrised problems within a CAD environment via model order reduction
spellingShingle Solution of geometrically parametrised problems within a CAD environment via model order reduction
Rubén Sevilla
title_short Solution of geometrically parametrised problems within a CAD environment via model order reduction
title_full Solution of geometrically parametrised problems within a CAD environment via model order reduction
title_fullStr Solution of geometrically parametrised problems within a CAD environment via model order reduction
title_full_unstemmed Solution of geometrically parametrised problems within a CAD environment via model order reduction
title_sort Solution of geometrically parametrised problems within a CAD environment via model order reduction
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Rubén Sevilla
Sergio Zlotnik
Antonio Huerta
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 358
container_start_page 112631
publishDate 2020
institution Swansea University
issn 0045-7825
doi_str_mv 10.1016/j.cma.2019.112631
document_store_str 1
active_str 0
description The main objective of this work is to describe a general and original approach for computing an off-line solution for a set of parameters describing the geometry of the domain. That is, a solution able to include information for different geometrical parameter values and also allowing to compute readily the sensitivities. Instead of problem dependent approaches, a general framework is presented for standard engineering environments where the geometry is defined by means of NURBS. The parameters controlling the geometry are now the control points characterising the NURBS curves or surfaces. The approach proposed here, valid for 2D and 3D scenarios, allows a seamless integration with CAD preprocessors. The proper generalised decomposition (PGD), which is applied here to compute explicit geometrically parametrised solutions, circumvents the curse of dimensionality. Moreover, optimal convergence rates are shown for PGD approximations of incompressible flows.
published_date 2020-12-31T04:03:46Z
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score 11.013731

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