Modelling of nonlinear wave-buoy dynamics using constrained variational methods

Anna Kalogirou, Onno Bokhove, David Ham

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)
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Abstract

We consider a comprehensive mathematical and numerical strategy to couple water-wave motion with rigid ship dynamics using variational principles. We present a methodology that applies to three-dimensional potential flow water waves and ship dynamics. For simplicity, in this paper we demonstrate the method for shallow-water waves coupled to buoy motion in two dimensions, the latter being the symmetric motion of a crosssection of a ship. The novelty in the presented model is that it employs a Lagrange multiplier to impose a physical restriction on the water height under the buoy in the form of an inequality constraint. A system of evolution equations can be obtained from the model and consists of the classical shallow-water equations for shallow, incompressible and irrotational waves, and relevant equations for the dynamics of the wave-energy buoy. One of the advantages of the variational approach followed is that, when combined with symplectic integrators, it eliminates any numerical damping and preserves the discrete energy; this is confirmed in our numerical results.
Original languageEnglish
Title of host publicationProceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering
Subtitle of host publicationVolume 7A: Ocean Engineering
PublisherASME
Number of pages10
Volume7A
DOIs
Publication statusPublished - 25 Sep 2017
EventASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering -
Duration: 25 Jun 201730 Jun 2017

Publication series

NameASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering

Conference

ConferenceASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering
Period25/06/1730/06/17

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