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Variational Modelling of Wave-Structure Interactions for Offshore Wind Turbines

[+] Author Affiliations
Tomasz Salwa, Onno Bokhove, Mark A. Kelmanson

University of Leeds, Leeds, UK

Paper No. OMAE2016-54897, pp. V006T09A053; 10 pages
doi:10.1115/OMAE2016-54897
From:
  • 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
  • Conference Sponsors: Ocean, Offshore and Arctic Engineering Division
  • ISBN: 978-0-7918-4997-2
  • Copyright © 2016 by ASME

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.

Copyright © 2016 by ASME

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