Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines

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 (l...

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Published in:Volume 6: Ocean Space Utilization; Ocean Renewable Energy
Main Authors: Salwa, T, Bokhove, O, Kelmanson, MA
Format: Report
Language:unknown
Published: ASME 2016
Subjects:
Online Access:https://eprints.whiterose.ac.uk/96800/
https://doi.org/10.1115/OMAE2016-54897
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spelling ftleedsuniv:oai:eprints.whiterose.ac.uk:96800 2023-05-15T14:22:49+02:00 Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines Salwa, T Bokhove, O Kelmanson, MA 2016-06-24 https://eprints.whiterose.ac.uk/96800/ https://doi.org/10.1115/OMAE2016-54897 unknown ASME 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 Proceedings Paper NonPeerReviewed 2016 ftleedsuniv https://doi.org/10.1115/OMAE2016-54897 2023-01-30T21:40:15Z 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. Report Arctic White Rose Research Online (Universities of Leeds, Sheffield & York) Volume 6: Ocean Space Utilization; Ocean Renewable Energy
institution Open Polar
collection White Rose Research Online (Universities of Leeds, Sheffield & York)
op_collection_id ftleedsuniv
language unknown
description 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.
format Report
author Salwa, T
Bokhove, O
Kelmanson, MA
spellingShingle Salwa, T
Bokhove, O
Kelmanson, MA
Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines
author_facet Salwa, T
Bokhove, O
Kelmanson, MA
author_sort Salwa, T
title Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines
title_short Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines
title_full Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines
title_fullStr Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines
title_full_unstemmed Variational Modelling Of Wave-Structure Interactions For Offshore Wind Turbines
title_sort variational modelling of wave-structure interactions for offshore wind turbines
publisher ASME
publishDate 2016
url https://eprints.whiterose.ac.uk/96800/
https://doi.org/10.1115/OMAE2016-54897
genre Arctic
genre_facet Arctic
op_relation 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
op_doi https://doi.org/10.1115/OMAE2016-54897
container_title Volume 6: Ocean Space Utilization; Ocean Renewable Energy
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