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

Abstract : 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.
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https://hal-ensta-paris.archives-ouvertes.fr/hal-02456323
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Submitted on : Friday, January 28, 2022 - 4:20:30 PM
Last modification on : Thursday, October 27, 2022 - 3:58:23 AM
Long-term archiving on: : Friday, April 29, 2022 - 9:35:48 PM

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Agnès Maurel, Kim Pham, Jean-Jacques Marigo. Scattering of gravity waves by a periodically structured ridge of finite extent. Journal of Fluid Mechanics, 2019, 871, pp.350-376. ⟨10.1017/jfm.2019.259⟩. ⟨hal-02456323⟩

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