Salwa, T, Bokhove, O and Kelmanson, MA (2016) Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines. In: Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. 35th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2016), 19-24 Jun 2016, Busan, South Korea. ASME ISBN 978-0-7918-4997-2
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 (linear) elasticity, and the coupling between them. The variational principle is applied and discretized directly using Galerkin finite elements that are continuous in space and dis/continuous in time. 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 indicate that our variational approach yields a stable numerical discretization of a fully coupled model of water waves and a linear 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 whose amplitude tends to zero as the timestep goes to zero.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Keywords: | Waves; Modeling; Offshore wind turbines |
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: | 14 Apr 2016 10:36 |
Last Modified: | 12 Apr 2017 12:24 |
Published Version: | https://doi.org/10.1115/OMAE2016-54897 |
Status: | Published |
Publisher: | ASME |
Identification Number: | 10.1115/OMAE2016-54897 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:96800 |