On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization

Mohebbi, Farzad; Evans, Ben

doi:10.3390/fluids5020070

Journal article 721 views 79 downloads

On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization

Farzad Mohebbi, Ben Evans

Fluids, Volume: 5, Issue: 2, Start page: 70

Swansea University Authors: Farzad Mohebbi, Ben Evans

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DOI (Published version): 10.3390/fluids5020070

Abstract

This study proposeda novel exact expression for step length (size) in gradient-based aerodynamic shape optimization for an airfoil in steady inviscid transonic flows. The airfoil surfaces were parameterized using Bezier curves. The Bezier curve control points were considered as design variables and...

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Published in:	Fluids
ISSN:	2311-5521
Published:	MDPI AG 2020
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa54206
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first_indexed	2020-05-12T13:11:05Z
last_indexed	2023-01-11T14:32:07Z
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spelling	2022-12-05T13:16:02.9932107 v2 54206 2020-05-12 On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization 35d5780a36e2949d4a6b6268c3dc1db0 Farzad Mohebbi Farzad Mohebbi true false 3d273fecc8121fe6b53b8fe5281b9c97 0000-0003-3662-9583 Ben Evans Ben Evans true false 2020-05-12 AERO This study proposeda novel exact expression for step length (size) in gradient-based aerodynamic shape optimization for an airfoil in steady inviscid transonic flows. The airfoil surfaces were parameterized using Bezier curves. The Bezier curve control points were considered as design variables and the finite-difference method was used to compute the gradient of the objective function (drag-To-lift ratio) with respect to the design variables. An exact explicit expression was derived for the step length in gradient-based shape optimization problems. It was shown that the derived step length was independent of the method used for calculating the gradient (adjoint method, finite-difference method, etc). The obtained results reveal the accuracy of the derived step length. Journal Article Fluids 5 2 70 MDPI AG 2311-5521 step length; Bezier curve; aerodynamic shape optimization; transonic flows 13 5 2020 2020-05-13 10.3390/fluids5020070 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2022-12-05T13:16:02.9932107 2020-05-12T11:28:52.7982183 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering Farzad Mohebbi 1 Ben Evans 0000-0003-3662-9583 2 54206__17451__3f1fd71ee5134a1b809a1668ab717f6d.pdf 54206VOR.pdf 2020-06-09T15:36:35.6681775 Output 6600602 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution License (CC-BY). true eng https://creativecommons.org/licenses/by/4.0/
title	On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization
spellingShingle	On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization Farzad Mohebbi Ben Evans
title_short	On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization
title_full	On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization
title_fullStr	On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization
title_full_unstemmed	On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization
title_sort	On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization
author_id_str_mv	35d5780a36e2949d4a6b6268c3dc1db0 3d273fecc8121fe6b53b8fe5281b9c97
author_id_fullname_str_mv	35d5780a36e2949d4a6b6268c3dc1db0_*_Farzad Mohebbi 3d273fecc8121fe6b53b8fe5281b9c97_*_Ben Evans
author	Farzad Mohebbi Ben Evans
author2	Farzad Mohebbi Ben Evans
format	Journal article
container_title	Fluids
container_volume	5
container_issue	2
container_start_page	70
publishDate	2020
institution	Swansea University
issn	2311-5521
doi_str_mv	10.3390/fluids5020070
publisher	MDPI AG
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 Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
document_store_str	1
active_str	0
description	This study proposeda novel exact expression for step length (size) in gradient-based aerodynamic shape optimization for an airfoil in steady inviscid transonic flows. The airfoil surfaces were parameterized using Bezier curves. The Bezier curve control points were considered as design variables and the finite-difference method was used to compute the gradient of the objective function (drag-To-lift ratio) with respect to the design variables. An exact explicit expression was derived for the step length in gradient-based shape optimization problems. It was shown that the derived step length was independent of the method used for calculating the gradient (adjoint method, finite-difference method, etc). The obtained results reveal the accuracy of the derived step length.
published_date	2020-05-13T04:07:35Z
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score	11.028886

On an Exact Step Length in Gradient-Based Aerodynamic Shape Optimization

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