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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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 |
_version_ |
1766295346429820928 |