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Transformation of Long Waves Propagating over Trench  

Jung, Tae-Hwa (Department of Civil Engineering, Hanyang University)
Suh, Kyung-Duck (Department of Civil and Environmental Engineering & Engineering Research Institute, Seoul National University)
Cho, Yong-Sik (Department of Civil Engineering, Hanyang University)
Park, Sung-Hyun (Department of Civil Engineering, Hanyang University)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.19, no.3, 2007 , pp. 228-236 More about this Journal
Abstract
An analytical solution for long waves propagating over an asymmetric trench is derived. The water depth inside the trench varies in proportion to a power of distance from the center of the trench. The mild-slope equation, governing equation, is transformed into second order ordinary differential equation with variable coefficients by using the long wave assumption and then the analytical solution is obtained by using the power series technique. The analytical solution is confirmed by comparison with the numerical solution. After calculating the analytical solution under various conditions, the results are analyzed.
Keywords
trench; analytical solution; mild-slope equation; long waves;
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