Wang, Y orcid.org/0000-0002-5673-042X, Jimack, PK, Walkley, MA orcid.org/0000-0003-2541-4173 et al. (1 more author) (2020) An energy stable one-field monolithic arbitrary Lagrangian-Eulerian formulation for fluid-structure interaction. Journal of Fluids and Structures, 98. 103117. ISSN 0889-9746
Abstract
In this article we present a one-field monolithic finite element method in the Arbitrary Lagrangian–Eulerian (ALE) formulation for Fluid–Structure Interaction (FSI) problems. The method only solves for one velocity field in the whole FSI domain, and it solves in a monolithic manner so that the fluid solid interface conditions are satisfied automatically. We prove that the proposed scheme is unconditionally stable, through energy analysis, by utilising a conservative formulation and an exact quadrature rule. We implement the algorithm using both F-scheme and D-scheme, and demonstrate that the former has the same formulation in two and three dimensions. Finally several numerical examples are presented to validate this methodology, including combination with remesh techniques to handle the case of very large solid displacement.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020, Elsevier. All rights reserved. This is an author produced version of an article published in Journal of Fluids and Structures. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Fluid structure interaction; Finite element; One field; Monolithic scheme; Arbitrary Lagrangian–Eulerian; Energy stable |
Dates: |
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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: | 24 Jul 2020 14:31 |
Last Modified: | 30 Jul 2021 00:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.jfluidstructs.2020.103117 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:163737 |