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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51964

Title: An extended analytic solution of combined refraction and diffraction of long waves propagating over circular island.
Authors: Yu-Shu Kuo
Chia-Cheng Tsai
Tai Wen Hsu
Yu-Hsuan Huang
Contributors: 國立臺灣海洋大學:河海工程學系
Date: 2012-09
Issue Date: 2019-01-10T02:16:46Z
Publisher: Journal of Applied Mathematics
Abstract: Abstract: An analytic solution of long waves scattering by a cylindrical island mounted on a permeable circular shoal was obtained by solving the linear long wave equation (LWE). The solution is in terms of the Bessel function expressed by complex variables. The present solution is suitable for arbitrary bottom configurations described by a power function with two independent parameters. For the case of the paraboloidal shoal, there exists a singular point ( α = 2 ) which can be removed using Frobenius series, where α is a real constant. The present solution is reduced to Yu and Zhang’s (2003) solution for impermeable circular shoal. The numerical results show some special features of the combined effect of wave refraction and diffraction caused by a porous circular island. The effect of key parameters of the island dimension, the shoal slope, and permeability on wave scattering was discussed based on the analytic solution.
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51964
Appears in Collections:[河海工程學系] 期刊論文

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