Radiation of water waves by a submerged nearly circular plate

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:310

Article

Farina, Leandro^1,2  da Gama, Romulo L.¹  Korotov, Sergey³  Ziebell, Juliana S.⁴ 

[1] Univ Fed Rio Grande do Sul, Inst Matemat & Estat, Porto Alegre, RS, Brazil

[2] BCAM Basque Ctr Appl Math, Bilbao, Basque Country, Spain

[3] Bergen Univ Coll, Dept Comp Math & Phys, Bergen, Norway

[4] Univ Fed Rio Grande, Inst Matemat Estat & Fis, Santo Antonio Da Patrulh, RS, Brazil

关键词: Water waves;    Hypersingular integral equations;    Expansion-collocation method;    Heave added mass and damping;    Orthogonal polynomials;    Spectral method;   

DOI  :  10.1016/j.cam.2016.04.009

来源: Elsevier

【 摘 要 】

A thin nearly circular plate is submerged below the free surface of deep water. The problem is reduced to a hypersingular integral equation over the surface of the plate which is conformally mapped onto the unit disc. The solution is computed by a spectral method proved to be efficient for the case of a circular disc. Numerical results are presented for the heave added mass and damping coefficients for two types of nearly circular plates. (C) 2016 Elsevier B.V. All rights reserved.

【 授权许可】

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