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Resonant behaviour of an oscillating wave energy converter in a channel

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journal contribution
posted on 26.03.2015, 16:07 by Emiliano RenziEmiliano Renzi, F. Dias
A mathematical model is developed to study the behaviour of an oscillating wave energy converter in a channel. During recent laboratory tests in a wave tank, peaks in the hydrodynamic actions on the converter occurred at certain frequencies of the incident waves. This resonant mechanism is known to be generated by the transverse sloshing modes of the channel. Here the influence of the channel sloshing modes on the performance of the device is further investigated. Within the framework of a linear inviscid potential-flow theory, application of Green’s theorem yields a hypersingular integral equation for the velocity potential in the fluid domain. The solution is found in terms of a fast-converging series of Chebyshev polynomials of the second kind. The physical behaviour of the system is then analysed, showing sensitivity of the resonant sloshing modes to the geometry of the device, which concurs in increasing the maximum efficiency. Analytical results are validated with available numerical and experimental data.

Funding

This work was funded by Science Foundation Ireland (SFI) under the research project ‘High-end computational modelling for wave energy systems’.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

JOURNAL OF FLUID MECHANICS

Volume

701

Pages

482 - 510 (29)

Citation

RENZI, E. and DIAS, F., 2012. Resonant behaviour of an oscillating wave energy converter in a channel. Journal of Fluid Mechanics, 701, pp. 482 - 510.

Publisher

© Cambridge University Press

Version

AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2012

Notes

This article was published in the Journal of Fluid Mechanics [© Cambridge University Press]. The definitive version is available at: http://dx.doi.org/10.1017/jfm.2012.194

ISSN

0022-1120

Language

en