Oblique flexural-gravity wave scattering by a submerged semi-circular ridge. Issue 3 (3rd May 2016)

• Record Type: Journal Article
• Authors: Liu, Yong; Li, Hua-Jun
• Is Part Of: Geophysical and astrophysical fluid dynamics. Volume 110:Issue 3(2016)
• Page Start: 259
• Page End: 273
• Publication Date: 2016-05-03
• Subjects: Flexural-gravity waves -- semi-circular ridge -- multipole expansions -- elastic plate; Fluid dynamics -- Periodicals; Astrophysics -- Periodicals; Geophysics -- Periodicals; 551
• DOI: 10.1080/03091929.2016.1158256
• Languages: English
• ISSNs: 0309-1929

Abstract

Abstract : This study examines the flexural-gravity wave scattering by a semi-circular ridge submerged in the ocean covered by a thin ice sheet. The ice sheet is treated as an elastic plate and its deflection is modelled using the Euler-Bernoulli beam equation. The fluid motion is described by linear potential theory. The series solutions of velocity potentials for obliquely and normally incident waves are both developed using multipole expansions. The unknowns in the series solutions are determined in terms of the impermeable condition on the ridge surface. Accurate results for the reflection and transmission coefficients of ridge and the deflection of ice sheet are presented. The effects of ridge radius, ice thickness, wave frequency and wave incident angle on the hydrodynamic quantities are shown.