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Extended mild-slope equation for random waves |
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| Authors: | Changhoon Lee Gunwoo Kim Kyung-Duck Suh |
| Institution: | a Department of Civil and Environmental Engineering, Sejong University, 98 Kunja-Dong, Kwangjin-Gu, Seoul 143-747, South Korea;b School of Civil, Urban, and Geosystem Engineering, Seoul National University, San 56-1, Shinlim-Dong, Gwanak-Gu, Seoul 151-742, South Korea;c Research Institute of Marine Systems Engineering, Seoul National University, San 56-1, Shinlim-Dong, Gwanak-Gu, Seoul 151-742, South Korea |
| Abstract: | A time-dependent extended mild-slope equation is derived from the elliptic equation of Chamberlain and Porter J. Fluid Mech. 291 (1995) 393] using the Taylor series technique. Numerical tests are made on a horizontally one-dimensional case for regular waves over sloping beds and for both regular and irregular waves over a ripple patch. Numerical results prove that the proposed model gives accurate results for both regular and irregular waves over rapidly varying topography. |
| Keywords: | Numerical model Mild-slope equation Water waves Random wave propagation |
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