|Title:||Trapping and near-trapping by arrays of cylinders in water waves using the addition theorem and superposition technique||Authors:||Yi-Jhou Lin
|Keywords:||Addition theorem;superposition technique;nullfield integral equation;Fourier series;trapped mode||Issue Date:||12-Oct-2009||Publisher:||第二屆兩岸船舶、海洋工程及環境工程水動力學研討會(CSHydro2009)||Conference:||第二屆兩岸船舶、海洋工程及環境工程水動力學研討會(CSHydro2009)||Abstract:||
In this paper, we employ the addition theorem and superposition technique to examine the trapped mode of water wave problems. The scattering of water waves by arrays of vertical circular cylinders is solved by using the null-field integral equations in conjunction with degenerate kernels and Fourier series to avoid calculating the Cauchy and Hadamard principal values. In the implementation, the null-field point can be exactly located on the real boundary free of principalvalue calculation using bump contour owing to the introduction of degenerate kernels for fundamental solutions. This method can be seen as a semi-analytical approach since errors attribute from the truncation of Fourier series. The physical-resonance phenomena of near-trapped modes are our concern. Several examples are given to demonstrate the validity of the proposed approach.
October 12-17, 2009 台灣海洋大學(NTOU), 基隆
|Appears in Collections:||河海工程學系|
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