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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51958

Title: Using local radial basis function collocation method to approximate radiation boundary conditions
Authors: Tsai, C.-C
Z.-H. Lin
T.-W. Hsu
Contributors: 國立臺灣海洋大學:河海工程學系
Keywords: Radiation boundary condition
Mild-slope equation
Meshless numerical method
Local radial-basis-function collocation method
Date: 2015-09
Issue Date: 2019-01-09T08:49:07Z
Publisher: Ocean Engineering
Abstract: Abstract: The local radial-basis-function collocation method (LRBFCM) based on the multiquadric type radial basis function is used to simulate the water wave propagation with oblique incidence and radiation. In this study, the mild-slope equation is applied and the radiation boundary condition is expanded to the third-order approximation. Two numerical cases are considered for verification, which include wave scattering around a vertical cylinder and shallow water wave passed over a submerged shoal. Numerical results based on the third-order radiation boundary condition are found to be in a better agreement than those of the first-order and second-order radiation boundary conditions especially for large incidence or radiation angles. Overall, the LRBFCM is a meshless numerical method and its applications to the high-order radiation boundary condition are much simpler compared with the traditional numerical methods, such as the finite difference method and the finite element method.
Relation: 105 pp.231-241
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/51958
Appears in Collections:[河海工程學系] 期刊論文

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