Variational modelling of wave–structure interactions with an offshore wind-turbine mast
Autor: | Mark A. Kelmanson, Onno Bokhove, Tomasz Salwa |
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Rok vydání: | 2017 |
Předmět: |
Discretization
020209 energy General Mathematics General Engineering 010103 numerical & computational mathematics 02 engineering and technology Mechanics 01 natural sciences Turbine Mast (sailing) Offshore wind power Classical mechanics Amplitude Linearization Variational principle Bounded function 0202 electrical engineering electronic engineering information engineering 0101 mathematics Mathematics |
Zdroj: | Journal of Engineering Mathematics. 107:61-85 |
ISSN: | 1573-2703 0022-0833 |
Popis: | 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 nonlinear elasticity, and the coupling between them. 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 for the linear case indicate that our variational approach yields a stable numerical discretization of a fully coupled model of water waves and an 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 amplitude of which tends to zero with the second-order convergence as the timestep approaches zero. Similar second-order convergence is observed for spatial mesh refinement. The linearized model so far developed can be extended to a nonlinear regime. |
Databáze: | OpenAIRE |
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