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Bragg resonant reflection of carrier waves composing wave groups |
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| Authors: | Yong-Sik Cho Jae-Sang Jung |
| Institution: | aDepartment of Civil Engineering, Hanyang University, 17 Haengdang-dong, Seongdong-gu, Seoul 133-791, South Korea;bCivil Engineering Team, Hyundai Development Company, 160 Samsung-dong, Gangnam-gu, Seoul 135-881, South Korea |
| Abstract: | Numerical analyses for the Bragg resonant reflection of carrier waves associated long waves due to sinusoidally varying seabeds are performed by using a set of coupled ordinary differential equations derived from the Boussinesq equations. The Boussinesq equations are firstly approximated with the Fourier decomposition. The coupled governing equations are then derived and used to simulate evolution of both short and long wave components. It is also found that wave groups are generated by two carrier waves with slightly different frequencies. The wave energy of the initial wave components is transferred to other harmonic components during propagation over a long distance. Evolution and reflection of both short and long waves were largely affected by nonlinearity. |
| Keywords: | Bragg resonant reflection Boussinesq equations Carrier waves Wave group Nonlinearity |
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