From bore-soliton-splash to a new wave-to-wire wave-energy model

Bokhove, O.; Kalogirou, A.; Zweers, W.

Abstract

We explore extreme nonlinear water-wave amplification in a contraction or, analogously, wave amplification in crossing seas. The latter case can lead to extreme or rogue-wave formation at sea. First, amplification of a solitary-water-wave compound running into a contraction is disseminated experimentally in a wave tank. Maximum amplification in our bore–soliton–splash observed is circa tenfold. Subsequently, we summarise some nonlinear and numerical modelling approaches, validated for amplifying, contracting waves. These amplification phenomena observed have led us to develop a novel wave-energy device with wave amplification in a contraction used to enhance wave-activated buoy motion and magnetically induced energy generation. An experimental proof-of-principle shows that our wave-energy device works. Most importantly, we develop a novel wave-to-wire mathematical model of the combined wave hydrodynamics, wave-activated buoy motion and electric power generation by magnetic induction, from first principles, satisfying one grand variational principle in its conservative limit. Wave and buoy dynamics are coupled via a Lagrange multiplier, which boundary value at the waterline is in a subtle way solved explicitly by imposing incompressibility in a weak sense. Dissipative features, such as electrical wire resistance and nonlinear LED loads, are added a posteriori. New is also the intricate and compatible finite-element space–time discretisation of the linearised dynamics, guaranteeing numerical stability and the correct energy transfer between the three subsystems. Preliminary simulations of our simplified and linearised wave-energy model are encouraging and involve a first study of the resonant behaviour and parameter dependence of the device.

Citation

Bokhove, O., Kalogirou, A., & Zweers, W. (2019). From bore-soliton-splash to a new wave-to-wire wave-energy model. Water Waves, 1(2), 217-218. https://doi.org/10.1007/s42286-019-00022-9

• Journal Article Type: Article
• Acceptance Date: Nov 1, 2019
• Online Publication Date: Nov 25, 2019
• Publication Date: Nov 25, 2019
• Deposit Date: Nov 1, 2019
• Publicly Available Date: Dec 4, 2019
• Journal: Water Waves
• Print ISSN: 2523-367X
• Electronic ISSN: 2523-3688
• Publisher: Springer Nature
• Peer Reviewed: Peer Reviewed
• Volume: 1
• Issue: 2
• Pages: 217-218
• DOI: https://doi.org/10.1007/s42286-019-00022-9
• Keywords: Water-wave focussing, Wave-activated buoy motion, Electromagnetic generator, Monolithic variational principle, Finite-element modelling
• Public URL: https://nottingham-repository.worktribe.com/output/3010403
• Publisher URL: https://link.springer.com/article/10.1007/s42286-019-00022-9
• Additional Information: Received: 7 March 2019; Accepted: 1 November 2019; First Online: 25 November 2019; : ; : This manuscript concerns research with no conflict of interest.
• Contract Date: Nov 1, 2019