Shape optimization for the Stokes system with threshold leak boundary conditions
Abstract
This paper discusses the process of optimizing the shape of systems that are controlled by the Stokes flow with threshold leak boundary conditions. In the theoretical part it focuses on studying the stability of solutions to the state problem in relation to a specific set of domains. In order to facilitate computation, the slip term and impermeability condition are regulated. In the computational part, the optimized portion of the boundary is defined using Bézier polynomials, in order to create a finite dimensional optimization problem. The paper also includes numerical examples to demonstrate the computational efficiency of this approach.
Main Authors
Format
Articles
Research article
Published
2024
Series
Subjects
Publication in research information system
Publisher
Elsevier
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-202409246057Use this for linking
Review status
Peer reviewed
ISSN
0378-4754
DOI
https://doi.org/10.1016/j.matcom.2024.03.002
Language
English
Published in
Mathematics and Computers in Simulation
Citation
- Haslinger, J., & Mäkinen, R. A. E. (2024). Shape optimization for the Stokes system with threshold leak boundary conditions. Mathematics and Computers in Simulation, 221, 180-196. https://doi.org/10.1016/j.matcom.2024.03.002
License
Copyright© 2024 The Author(s). Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation
(IMACS).