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Linear Wave Reflection by Trench with Various Shapes

Cited 26 time in Web of Science Cited 29 time in Scopus
Authors
Jung, Tae-Hwa; Suh, Kyung-Duck; Lee, Seung Oh; Cho, Yong-Sik
Issue Date
2008
Publisher
Elsevier
Citation
Ocean Engineering 35, 1226-1234
Keywords
trenchanalytical solutionmild-slope equationBragg reflection
Description
author's final version
Abstract
Two types of analytical solutions for waves propagating over an asymmetric trench are derived. One is a shallow water wave model and the other is an extended model applicable to deeper water. The water depth inside the trench varies in proportion to a power of distance from the center of the trench (where the center means the deepest water depth point and the origin of -coordinate in this study). The mild-slope equation is transformed into a second order ordinary differential equation with variable coefficients based on the longwave assumption or Hunt’s (1979) approximate solution for wave dispersion. The analytical solutions are then obtained by using the power series technique. The analytical solutions are compared with the numerical solution of the hyperbolic mild-slope equations. After obtaining the analytical solutions under various conditions, the results are analyzed.
ISSN
0029-8018
Language
English
URI
http://hdl.handle.net/10371/67638
DOI
https://doi.org/10.1016/j.oceaneng.2008.04.001
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Civil & Environmental Engineering (건설환경공학부)Journal Papers (저널논문_건설환경공학부)
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