An optimal control method for time-dependent fluid-structure interaction problems

Abstract

In this article, we derive an adjoint fluid-structure interaction (FSI) system in an arbitrary Lagrangian-Eulerian (ALE) framework, based upon a one-field finite element method. A key feature of this approach is that the interface condition is automatically satisfied and the problem size is reduced since we only solve for one velocity field for both the primary and adjoint system. A velocity (and/or displacement)-matching optimisation problem is considered by controlling a distributed force. The optimisation problem is solved using a gradient descent method, and a stabilised Barzilai-Borwein method is adopted to accelerate the convergence, which does not need additional evaluations of the objective functional. The proposed control method is validated and assessed against a series of static and dynamic benchmark FSI problems, before being applied successfully to solve a highly challenging FSI control problem.

Metadata

Item Type:	Article
Authors/Creators:	Wang, Y https://orcid.org/0000-0002-5673-042X Jimack, PK https://orcid.org/0000-0001-9463-7595 Walkley, MA https://orcid.org/0000-0003-2541-4173 Yang, D Thompson, HM https://orcid.org/0000-0002-0493-1131
Copyright, Publisher and Additional Information:	© The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Keywords:	Optimal control; Adjoint optimisation; Fluid-structure interaction; Finite element
Dates:	Published: October 2021 Published (online): 23 June 2021 Accepted: 12 May 2021
Institution:	The University of Leeds
Academic Units:	The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds)
Depositing User:	Symplectic Publications
Date Deposited:	19 May 2021 11:52
Last Modified:	27 Feb 2023 16:44
Status:	Published
Publisher:	Springer
Identification Number:	10.1007/s00158-021-02956-6
Open Archives Initiative ID (OAI ID):	oai:eprints.whiterose.ac.uk:174206

Download

Published Version

Filename: s00158-021-02956-6.pdf

Licence: CC-BY 4.0

CLICK TO DOWNLOAD

CORE (COnnecting REpositories)

An optimal control method for time-dependent fluid-structure interaction problems

Abstract

Metadata

Download

Published Version

Export

Statistics