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Parametric solutions involving geometry: A step towards efficient shape optimization

Amine Ammar, Antonio Huerta, Francisco Chinesta, Elías Cueto, Adrien Leygue, Antonio Huerta Cerezuela

Computer Methods in Applied Mechanics and Engineering, Volume: 268, Pages: 178 - 193

Swansea University Author: Antonio Huerta Cerezuela

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DOI (Published version): 10.1016/j.cma.2013.09.003

Abstract

In simulation-based engineering sciences geometry is usually data. Every time a new geometry is tested, the complete analysis is repeated: pre-process, solve and post-process. This is a major overhead in engineering design. This paper is the first contribution where the parameters defining the geome...

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Published in: Computer Methods in Applied Mechanics and Engineering
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa20037
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first_indexed 2015-01-23T02:58:29Z
last_indexed 2018-02-09T04:56:07Z
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spelling 2015-02-01T19:51:58.3706533 v2 20037 2015-01-22 Parametric solutions involving geometry: A step towards efficient shape optimization d87796289609bf34dd174c27e41a05d6 Antonio Huerta Cerezuela Antonio Huerta Cerezuela true false 2015-01-22 In simulation-based engineering sciences geometry is usually data. Every time a new geometry is tested, the complete analysis is repeated: pre-process, solve and post-process. This is a major overhead in engineering design. This paper is the first contribution where the parameters defining the geometry are seen as coordinates and, consequently, a high-dimensional problem is solved to obtain a generalized solution: the temperature field, for instance, is known at any point in space and for any value of the parameters describing the physical domain. To overcome the "curse of dimensionality" the Proper Generalized Decomposition is employed. The generalized solution is obtained on the fly, sensitivities to parameters variations are also evaluated analytically and consequently the applicability of this approach to classical optimization or multi criteria optimization is demonstrated on academic examples.As a result of this research A. Huerta has been invited to give a plenary talk in Japan and the Forschung Fahrzeugtechnik VOLKSWAGEN (the joint research centre of the Volkswagen group) is funding a project to reduce design cycle costs for automotive aerodynamics. Journal Article Computer Methods in Applied Mechanics and Engineering 268 178 193 1 1 2014 2014-01-01 10.1016/j.cma.2013.09.003 COLLEGE NANME COLLEGE CODE Swansea University 2015-02-01T19:51:58.3706533 2015-01-22T09:44:20.2307744 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Amine Ammar 1 Antonio Huerta 2 Francisco Chinesta 3 Elías Cueto 4 Adrien Leygue 5 Antonio Huerta Cerezuela 6
title Parametric solutions involving geometry: A step towards efficient shape optimization
spellingShingle Parametric solutions involving geometry: A step towards efficient shape optimization
Antonio Huerta Cerezuela
title_short Parametric solutions involving geometry: A step towards efficient shape optimization
title_full Parametric solutions involving geometry: A step towards efficient shape optimization
title_fullStr Parametric solutions involving geometry: A step towards efficient shape optimization
title_full_unstemmed Parametric solutions involving geometry: A step towards efficient shape optimization
title_sort Parametric solutions involving geometry: A step towards efficient shape optimization
author_id_str_mv d87796289609bf34dd174c27e41a05d6
author_id_fullname_str_mv d87796289609bf34dd174c27e41a05d6_***_Antonio Huerta Cerezuela
author Antonio Huerta Cerezuela
author2 Amine Ammar
Antonio Huerta
Francisco Chinesta
Elías Cueto
Adrien Leygue
Antonio Huerta Cerezuela
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 268
container_start_page 178
publishDate 2014
institution Swansea University
doi_str_mv 10.1016/j.cma.2013.09.003
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 0
active_str 0
description In simulation-based engineering sciences geometry is usually data. Every time a new geometry is tested, the complete analysis is repeated: pre-process, solve and post-process. This is a major overhead in engineering design. This paper is the first contribution where the parameters defining the geometry are seen as coordinates and, consequently, a high-dimensional problem is solved to obtain a generalized solution: the temperature field, for instance, is known at any point in space and for any value of the parameters describing the physical domain. To overcome the "curse of dimensionality" the Proper Generalized Decomposition is employed. The generalized solution is obtained on the fly, sensitivities to parameters variations are also evaluated analytically and consequently the applicability of this approach to classical optimization or multi criteria optimization is demonstrated on academic examples.As a result of this research A. Huerta has been invited to give a plenary talk in Japan and the Forschung Fahrzeugtechnik VOLKSWAGEN (the joint research centre of the Volkswagen group) is funding a project to reduce design cycle costs for automotive aerodynamics.
published_date 2014-01-01T03:23:36Z
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score 11.037056

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