Parameter-free shape optimization: Various shape updates for engineering applications
Citation Link: https://doi.org/10.15480/882.8862
Publikationstyp
Journal Article
Date Issued
2023-08-25
Sprache
English
Author(s)
TORE-DOI
Journal
Volume
10
Issue
9
Article Number
751
Citation
Aerospace 10 (9): 751 (2023-08-25)
Publisher DOI
Scopus ID
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications. However, sensitivity distributions obtained from shape derivatives in this context cannot be directly used as a shape update in gradient-based optimization strategies. Instead, an auxiliary problem has to be solved to obtain a gradient from the sensitivity. While several choices for these auxiliary problems were investigated mathematically, the complexity of the concepts behind their derivation has often prevented their application in engineering. This work aims to explain several approaches to compute shape updates from an engineering perspective. We introduce the corresponding auxiliary problems in a formal way and compare the choices by means of numerical examples. To this end, a test case and exemplary applications from computational fluid dynamics are considered.
Subjects
computational fluid dynamics
continuous adjoint method
shape gradient
shape optimization
steepest descent
DDC Class
620: Engineering
Publication version
publishedVersion