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...
| Published in: | Volume 6: Ocean Space Utilization; Ocean Renewable Energy |
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| Main Authors: | , , |
| Format: | Report |
| Language: | unknown |
| Published: |
ASME
2016
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| Subjects: | |
| Online Access: | https://eprints.whiterose.ac.uk/96800/ https://doi.org/10.1115/OMAE2016-54897 |
| Summary: | 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. |
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