Resonant behaviour of an oscillating wave energy converter in a channel

Emiliano Renzi*, F. Dias

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

126 Citations (Scopus)


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 Greens 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.

Original languageEnglish
Pages (from-to)482-510
Number of pages29
JournalJournal of Fluid Mechanics
Early online date18 May 2012
Publication statusPublished - 25 Jun 2012
Externally publishedYes

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