Salwa, T, Bokhove, O and Kelmanson, MA (2017) Variational modelling of wave-structure interactions with an offshore wind-turbine mast. Journal of Engineering Mathematics, 107 (1). pp. 61-85. ISSN 0022-0833
Abstract
We consider the development of a mathematical model of water waves interacting with the mast of an offshore wind turbine. A variational approach is used for which the starting point is an action functional describing a dual system comprising a potential-flow fluid, a solid structure modelled with nonlinear elasticity, and the coupling between them. We develop a linearized model of the fluid–structure or wave–mast coupling, which is a linearization of the variational principle for the fully coupled nonlinear model. Our numerical results for the linear case indicate that our variational approach yields a stable numerical discretization of a fully coupled model of water waves and an elastic beam. The energy exchange between the subsystems is seen to be in balance, yielding a total energy that shows only small and bounded oscillations amplitude of which tends to zero with the second-order convergence as the timestep approaches zero. Similar second-order convergence is observed for spatial mesh refinement. The linearized model so far developed can be extended to a nonlinear regime.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © The Author(s) 2017. Open Access: This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. |
Keywords: | Computational fluid dynamics; Fluid–structure interaction; Hamiltonian mechanics; Potential flow; Variational principle; Water waves |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Funding Information: | Funder Grant number EU - European Union 607596 |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Aug 2017 13:36 |
Last Modified: | 10 May 2019 10:01 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/s10665-017-9936-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:120411 |