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.
- Ocean, Offshore and Arctic Engineering Division
Variational Modelling of Wave-Structure Interactions for Offshore Wind Turbines
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Salwa, T, Bokhove, O, & Kelmanson, MA. "Variational Modelling of Wave-Structure Interactions for Offshore Wind Turbines." Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering. Volume 6: Ocean Space Utilization; Ocean Renewable Energy. Busan, South Korea. June 19–24, 2016. V006T09A053. ASME. https://doi.org/10.1115/OMAE2016-54897
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