Radiation of water waves by a submerged nearly circular plate

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...

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Detalles Bibliográficos
Autores: Farina, L., da Gama, R.L., Korotov, S., Ziebell, J.S.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/162
Acceso en línea:http://hdl.handle.net/20.500.11824/162
Access Level:acceso abierto
Palabra clave:Expansion-collocation method
Heave added mass and damping
Hypersingular integral equations
Orthogonal polynomials
Spectral method
Water waves
Descripción
Sumario: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.