Michele_et_al_2019.pdf (708.64 kB)
Weakly nonlinear theory for a gate-type curved array in waves
journal contribution
posted on 2019-03-26, 10:06 authored by Simone Michele, Emiliano Renzi, Paolo SammarcoWe 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.
Funding
The work of S. Michele and E. Renzi is supported by a Royal Society - CNR International Fellowship
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Fluid MechanicsVolume
869Pages
238-263Citation
MICHELE, S., RENZI, E. and SAMMARCO, P., 2019. Weakly nonlinear theory for a gate-type curved array in waves. Journal of Fluid Mechanics, 869, 25 June 2019 , pp. 238-263.Publisher
© Cambridge University PressVersion
- AM (Accepted Manuscript)
Publisher statement
This paper was accepted for publication in the journal Journal of Fluid Mechanics and the definitive published version is available at https://doi.org/10.1017/jfm.2019.223Acceptance date
2019-03-15Publication date
2019-04-23Copyright date
2019ISSN
0022-1120eISSN
1469-7645Publisher version
Language
- en