Linear wave reflection by trench with various shapes

被引:38
作者
Jung, Tae-Hwa [1 ]
Suh, Kyung-Duck [2 ,3 ]
Lee, Seung Oh [4 ]
Cho, Yong-Sik [1 ]
机构
[1] Hanyang Univ, Dept Civil Engn, Seoul 133791, South Korea
[2] Seoul Natl Univ, Dept Civil & Environm Engn, Seoul 151744, South Korea
[3] Seoul Natl Univ, Engn Res Inst, Seoul 151744, South Korea
[4] Hongik Univ, Sch Urban & Civil Engn, Seoul 121791, South Korea
关键词
trench; analytical solution; mild-slope equation; Bragg reflection;
D O I
10.1016/j.oceaneng.2008.04.001
中图分类号
U6 [水路运输]; P75 [海洋工程];
学科分类号
0814 ; 081505 ; 0824 ; 082401 ;
摘要
Two types of analytical solutions for waves propagating over an; symmetric trench are derived. One is a long-wave solution and the other is a mild-slope solution, wh ch is applicable to deeper water. The water depth inside the trench varies in proportion to a power)f the distance from the center of the trench (which is the deepest water depth point and the origin o 'x-coordinate in this study). The mildslope equation is transformed into a second-order ordinar. differential equation with variable coefficients based on the longwave assumption [Hunt's, 197!,. Direct solution of wave dispersion equation. journal of Waterway, Port, Coast. and Ocean Engin !ering 105, 457-4591 as approximate solution for wave dispersion. The analytical solutions are the i obtained by using the power series technique. The analytical solutions are compared with the nurr 2rical solution of the hyperbolic mildslope equations. After obtaining the analytical solutions und !r various conditions, the results are analyzed. (c) 2008 Elsevier Ltd. All rights reserved.
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页码:1226 / 1234
页数:9
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