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Scattering of gravity waves by a periodically structured ridge of finite extent

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  • Additional Information
    • Contributors:
      Institut Langevin - Ondes et Images (UMR7587) (IL); Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris); Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS); Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219); Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-École Nationale Supérieure de Techniques Avancées (ENSTA Paris)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS)-EDF R&D (EDF R&D); EDF (EDF)-EDF (EDF); Laboratoire de mécanique des solides (LMS); École polytechnique (X)-Mines Paris - PSL (École nationale supérieure des mines de Paris); Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)
    • Publication Information:
      HAL CCSD
      Cambridge University Press (CUP)
    • Publication Date:
      2019
    • Collection:
      MINES ParisTech: Archive ouverte / Open Archive (HAL)
    • Abstract:
      International audience ; We study the propagation of water waves over a ridge structured at the subwavelength scale using homogenization techniques able to account for its finite extent. The calculations are conducted in the time domain considering the full three-dimensional problem to capture the effects of the evanescent field in the water channel over the structured ridge and at its boundaries. This provides an effective two-dimensional wave equation which is a classical result but also non-intuitive transmission conditions between the region of the ridge and the surrounding regions of constant immersion depth. Numerical results provide evidence that the scattering properties of a structured ridge can be strongly influenced by the evanescent fields, a fact which is accurately captured by the homogenized model.
    • Relation:
      hal-02456323; https://ensta-paris.hal.science/hal-02456323; https://ensta-paris.hal.science/hal-02456323/document; https://ensta-paris.hal.science/hal-02456323/file/Maurel2019.pdf
    • Accession Number:
      10.1017/jfm.2019.259
    • Online Access:
      https://ensta-paris.hal.science/hal-02456323
      https://ensta-paris.hal.science/hal-02456323/document
      https://ensta-paris.hal.science/hal-02456323/file/Maurel2019.pdf
      https://doi.org/10.1017/jfm.2019.259
    • Rights:
      http://creativecommons.org/licenses/by-nc/ ; info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.57BF4EAC