No Cover Image

Journal article 228 views 38 downloads

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

Farzad Mohebbi, Ben Evans Orcid Logo

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

Swansea University Authors: Farzad Mohebbi, Ben Evans Orcid Logo

  • 54206VOR.pdf

    PDF | Version of Record

    Released under the terms of a Creative Commons Attribution License (CC-BY).

    Download (6.29MB)

Check full text

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...

Full description

Published in: Fluids
ISSN: 2311-5521
Published: MDPI AG 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa54206
Tags: Add Tag
No Tags, Be the first to tag this record!
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 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.
Keywords: step length; Bezier curve; aerodynamic shape optimization; transonic flows
Issue: 2
Start Page: 70