Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys

Anna Kalogirou; Onno Bokhove

doi:10.1115/OMAE2016-54937

Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys

Anna Kalogirou, Onno Bokhove

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

11 Citations (Scopus)

7 Downloads (Pure)

Abstract

We report on the mathematical and numerical modelling of amplified rogue waves driving a wave-energy device in a contraction. This wave-energy device consists of a floating buoy attached to an AC-induction motor and constrained to move upward only in a contraction, for which we have realised a working scale-model. A coupled Hamiltonian system is derived for the dynamics of water waves and moving wave-energy buoys. This nonlinear model consists of the classical water wave equations for the free surface deviation and velocity potential, coupled to a set of equations describing the dynamics of a wave-energy buoy. As a stepping stone, the model is solved numerically for the case of linear shallow water waves causing the motion of a simple buoy structure with V-shaped cross-sections, using a variational (dis)continuous Galerkin finite element method.

Original language	English
Title of host publication	Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering
Subtitle of host publication	Volume 7: Ocean Engineering
Publisher	ASME
Volume	7
ISBN (Electronic)	978-0-7918-4998-9
DOIs	https://doi.org/10.1115/OMAE2016-54937
Publication status	Published - Jun 2016
Externally published	Yes
Event	ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering - Busan, South Korea Duration: 19 Jun 2016 → 24 Jun 2016

Publication series

Name	ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering

Conference

Conference	ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering
Abbreviated title	OMAE 2016
Country/Territory	South Korea
City	Busan
Period	19/06/16 → 24/06/16

Access to Document

10.1115/OMAE2016-54937

Accepted manuscriptAccepted author manuscript, 1.06 MB

http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleID=2571047

Cite this

Kalogirou, A., & Bokhove, O. (2016). Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys. In Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering: Volume 7: Ocean Engineering (Vol. 7). [OMAE2016-54937] (ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering). ASME. https://doi.org/10.1115/OMAE2016-54937

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title = "Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys",

abstract = "We report on the mathematical and numerical modelling of amplified rogue waves driving a wave-energy device in a contraction. This wave-energy device consists of a floating buoy attached to an AC-induction motor and constrained to move upward only in a contraction, for which we have realised a working scale-model. A coupled Hamiltonian system is derived for the dynamics of water waves and moving wave-energy buoys. This nonlinear model consists of the classical water wave equations for the free surface deviation and velocity potential, coupled to a set of equations describing the dynamics of a wave-energy buoy. As a stepping stone, the model is solved numerically for the case of linear shallow water waves causing the motion of a simple buoy structure with V-shaped cross-sections, using a variational (dis)continuous Galerkin finite element method.",

author = "Anna Kalogirou and Onno Bokhove",

year = "2016",

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doi = "10.1115/OMAE2016-54937",

language = "English",

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note = "ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2016 ; Conference date: 19-06-2016 Through 24-06-2016",

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Kalogirou, A & Bokhove, O 2016, Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys. in Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering: Volume 7: Ocean Engineering. vol. 7, OMAE2016-54937, ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, ASME, ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering, Busan, South Korea, 19/06/16. https://doi.org/10.1115/OMAE2016-54937

Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys. / Kalogirou, Anna; Bokhove, Onno.

Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering: Volume 7: Ocean Engineering. Vol. 7 ASME, 2016. OMAE2016-54937 (ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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N2 - We report on the mathematical and numerical modelling of amplified rogue waves driving a wave-energy device in a contraction. This wave-energy device consists of a floating buoy attached to an AC-induction motor and constrained to move upward only in a contraction, for which we have realised a working scale-model. A coupled Hamiltonian system is derived for the dynamics of water waves and moving wave-energy buoys. This nonlinear model consists of the classical water wave equations for the free surface deviation and velocity potential, coupled to a set of equations describing the dynamics of a wave-energy buoy. As a stepping stone, the model is solved numerically for the case of linear shallow water waves causing the motion of a simple buoy structure with V-shaped cross-sections, using a variational (dis)continuous Galerkin finite element method.

AB - We report on the mathematical and numerical modelling of amplified rogue waves driving a wave-energy device in a contraction. This wave-energy device consists of a floating buoy attached to an AC-induction motor and constrained to move upward only in a contraction, for which we have realised a working scale-model. A coupled Hamiltonian system is derived for the dynamics of water waves and moving wave-energy buoys. This nonlinear model consists of the classical water wave equations for the free surface deviation and velocity potential, coupled to a set of equations describing the dynamics of a wave-energy buoy. As a stepping stone, the model is solved numerically for the case of linear shallow water waves causing the motion of a simple buoy structure with V-shaped cross-sections, using a variational (dis)continuous Galerkin finite element method.

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Kalogirou A, Bokhove O. Mathematical and Numerical Modelling of Wave Impact on Wave-Energy Buoys. In Proceedings of the ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering: Volume 7: Ocean Engineering. Vol. 7. ASME. 2016. OMAE2016-54937. (ASME 2016 35th International Conference on Ocean, Offshore and Arctic Engineering). https://doi.org/10.1115/OMAE2016-54937