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Backscattering reduction for resonating obstacle in water-wave channel

Published online by Cambridge University Press:  24 April 2018

Tomasz Bobinski Open the ORCID record for Tomasz Bobinski [Opens in a new window] ,
Agnès Maurel Open the ORCID record for Agnès Maurel [Opens in a new window] ,
Philippe Petitjeans  and
Vincent Pagneux
Tomasz Bobinski*
Affiliation:
Lab. PMMH/ESPCI, 10 rue Vauquelin, 75005 Paris, France Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, 00-665 Warsaw, Poland
Agnès Maurel
Affiliation:
Institut Langevin, UMR 7587, 1 rue Jussieu, 75005 Paris, France
Philippe Petitjeans
Affiliation:
Lab. PMMH/ESPCI, 10 rue Vauquelin, 75005 Paris, France
Vincent Pagneux
Affiliation:
LAUM, UMR 6613, Univ. Maine, Avenue Olivier Messiaen, 72085 Le Mans, France
*
†Email address for correspondence: [email protected]
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Abstract

We consider the propagation of water waves in a waveguide with a surface-piercing circular cylinder. A plane wave interacting with the cylinder leads to a Fano resonance resulting in strong scattering with a large reflection coefficient. Using a smoothly varying bathymetry whose shape is optimized, we show both numerically and experimentally that broadband and robust backscattering reduction can be obtained below the first cutoff frequency.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Waves/Free-surface Flows Waves/Free-surface Flows: Wave scattering
Type
JFM Rapids
Information
Journal of Fluid Mechanics , Volume 845 , 25 June 2018 , R4
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Copyright
© 2018 Cambridge University Press 

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