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Finite element method for strong reflection of water waves |
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| Authors: | Yong-Sik Cho Woo-Chang Jeong Seung-Buhm Woo |
| Institution: | a Department of Civil Engineering, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul 133-791, South Korea;b Water Resources Engineering Division, Korea Institute of Construction Technology, 2311 Daehwa-dong, Ilsan-gu Goyang, Gyonggi 411-712, South Korea |
| Abstract: | In this study, the propagation of monochromatic water waves over an arbitrarily varying topography is numerically investigated. A finite element model is developed by formulating the diffraction of waves caused by depth changes. Not only the propagating mode but also the evanescent modes are included in the model. The model developed is applied to the study of strong reflection of monochromatic waves over a sinusoidally varying topography. Predicted reflection coefficients are compared with those of available laboratory experiments and the eigenfunction expansion method. A very good agreement is observed. |
| Keywords: | Author Keywords: Water wave Diffraction Finite element method Bragg reflection Eigenfunction expansion method |
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