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On the local resonance between surface gravity waves and submerged resonators in a numerical wave tank

Published online by Cambridge University Press:  16 June 2025

Francesco De Vita Open the ORCID record for Francesco De Vita [Opens in a new window] ,
Marco Donato de Tullio Open the ORCID record for Marco Donato de Tullio [Opens in a new window]  and
Miguel Onorato Open the ORCID record for Miguel Onorato [Opens in a new window]
Francesco De Vita*
Affiliation:
Dipartimento di Meccanica Matematica e Management, Politecnico di Bari, Via Orabona 4 Bari, 70125, Italy
Marco Donato de Tullio
Affiliation:
Dipartimento di Meccanica Matematica e Management, Politecnico di Bari, Via Orabona 4 Bari, 70125, Italy
Miguel Onorato
Affiliation:
Dipartimento di Fisica, Universitá di Torino, Via P Giuria 1, Torino 10125, Italy INFN, Sezione di Torino, Via P Giuria 1, Torino 10125, Italy
*
Corresponding author: Francesco De Vita, fnc.devita@gmail.com
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Abstract

Waves propagating over oscillating periodic structures can be reflected and attenuated either by Bragg scattering or by local resonance. In this work, we focus on the interplay between surface gravity waves and submerged resonators, investigating the effect of the local resonance on wave propagation. The study is performed using a state of the art numerical simulation of the Navier–Stokes equation in two-dimensional form with free boundary and moving bodies. A volume of fluid interface technique is employed for tracking the free surface, and an immersed boundary method for the fluid–structure interaction. A wave maker is placed at one end of the flume and an absorbing beach at the other. The evolution in space of a monochromatic wave interacting with up to four resonators coupled only fluid mechanically is presented. We evaluate the efficiency of the system in terms of wave amplitude attenuation and energy transfers between the fluid and the solid phase. The results indicate that, near resonance conditions, both wave reflection and energy dissipation increase significantly. Conversely, far from resonance, waves can propagate through the system with minimal dissipation, even in the presence of numerous resonators. Moreover, when the time scale associated with the resonator’s restoring force is longer than the wave period, the resonators tend to follow the wave motion, oscillating with an amplitude comparable to that of the wave. In contrast, when the two time scales are similar, the resonator motion becomes amplified, resulting in stronger velocity gradients and enhanced viscous dissipation.

JFM classification

Waves/Free-surface Flows: Wave-structure interactions Multiphase and Particle-laden Flows: Multiphase flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 1013 , 25 June 2025 , A22
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Copyright
© The Author(s), 2025. Published by Cambridge University Press

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Supplementary material: File

De Vita et al. supplementary material movie 1

Surface evolution and resonator motion for the case with four resonators and frequency ratio Λ = 0.34.
Download De Vita et al. supplementary material movie 1(File)
File 5.3 MB
Supplementary material: File

De Vita et al. supplementary material movie 2

Surface evolution and resonator motion for the case with four resonators and frequency ratio Λ = 1.02.
Download De Vita et al. supplementary material movie 2(File)
File 5.1 MB