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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50626

Title: On Step Approximation of Water-Wave Scattering over Steep or Undulated Slope
Authors: Chia-Cheng Tsai
Yueh-Ting Lin
Tai-Wen Hsu
Contributors: 國立臺灣海洋大學:河海工程學系
Date: 2014-07
Issue Date: 2018-10-19T06:09:46Z
Publisher: International Journal of Offshore and Polar Engineering
Abstract: Abstract: In this paper, Miles’s variational formulation (Miles, 1967) is extended to study problems of water-wave scattering by steep slopes. In the procedure for obtaining the solution, the arbitrary bottom profiles are represented by flat shelves separated by abrupt steps. By applying the stationary condition of the variational formulation, a system of linear equations is obtained with unknown coefficients that represent the horizontal velocities. Our variational formulation is extended by considering the evanescent eigenfunctions in the representations of these horizontal velocities. The extended variational formulation is applied to solving water-wave scattering by using Roseau’s curved bottom profiles of both mild and steep slopes (Roseau, 1976). The solutions obtained by the extended variational formulation are convergent with Roseau’s analytical solution up to four decimal places for the mild and steep cases, while the solutions obtained by the traditional variational formulation (Miles, 1967) and the transfer-matrix method of Devillard et al. (1988) are not accurate enough for the steep case. Furthermore, by using the integral equation method, the improvement of the proposed method is enforced by two types of bottom profiles considered by Porter and Porter (2000). Finally, numerical experiments are performed to compare the present method with the extended mild-slope equation of Porter and Staziker (1995). © 2014 The International Society of Offshore and Polar Engineers.
Relation: 24(2)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/50626
Appears in Collections:[河海工程學系] 期刊論文

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