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Article Dans Une Revue Journal of Fluid Mechanics Année : 2019

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

Résumé

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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Dates et versions

hal-02456323 , version 1 (28-01-2022)

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Paternité - Pas d'utilisation commerciale

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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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