ORCID
- Michele, Simone: 0000-0002-4082-6929
Abstract
We analyse the effect of gate surface curvature on the nonlinear behaviour of an array of gates in a semi-infinite channel. Using a perturbation-harmonic expansion, we show the occurrence of new detuning and damping terms in the Ginzburg–Landau evolution equation, which are not present in the case of flat gates. Unlike the case of linearised theories, synchronous excitation of trapped modes is now possible because of interactions between the wave field and the curved boundaries at higher orders. Finally, we apply the theory to the case of surging wave energy converters (WECs) with curved geometry and show that the effects of nonlinear synchronous resonance are substantial for design purposes. Conversely, in the case of subharmonic resonance we show that the effects of surface curvature are not always beneficial as previously thought.
DOI
10.1017/jfm.2019.223
Publication Date
2019-06-25
Publication Title
Journal of Fluid Mechanics
Volume
869
ISSN
0022-1120
Organisational Unit
School of Engineering, Computing and Mathematics
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
First Page
238
Last Page
263
Recommended Citation
Michele, S., Renzi, E., & Sammarco, P. (2019) 'Weakly nonlinear theory for a gate-type curved array in waves', Journal of Fluid Mechanics, 869, pp. 238-263. Available at: https://doi.org/10.1017/jfm.2019.223
