Radiation of water waves by a submerged nearly circular plate

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• 作者：Leandro Farina^a ; ^b ; ^{farina@mat.ufrgs.br" class="auth_mail" title="E-mail the corresponding author} ; ^{lfarina@bcamath.org" class="auth_mail" title="E-mail the corresponding author} ; Rô ; mulo L. da Gama^a ; ^{rlima.ap@hotmail.com" class="auth_mail" title="E-mail the corresponding author} ; Sergey Korotov^c ; ^{sergey.korotov@hib.no" class="auth_mail" title="E-mail the corresponding author} ; Juliana S. Ziebell^d ; ^{julianaziebell@furg.br" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Water waves ; Hypersingular integral equations ; Expansion-collocation method ; Heave added mass and damping ; Orthogonal polynomials ; Spectral method
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：310
• 期：Complete
• 页码：165-173
• 全文大小：491 K

文摘

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.