Parameter-free shape optimization: various shape updates for engineering applications
Publication date
2023-08-25
Document type
Forschungsartikel
Author
Organisational unit
Publisher
MDPI
Series or journal
Aerospace
ISSN
Periodical volume
10
Periodical issue
9
First page
751
Last page
751
Peer-reviewed
✅
Part of the university bibliography
✅
Language
English
Abstract
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.
Description
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
Version
Published version
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