Internal generation of waves for extended Boussinesq equations |
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| Institution: | 1. Department of Civil and Environmental Engineering, Sejong University, 98 Kunja-dong, Kwangjin-ku, Seoul, 143-747, South Korea;2. Department of Civil Engineering, Hanyang University, 17 Haengdang-dong, Songdong-ku, Seoul 133-791, South Korea;3. Coastal and Harbor Engineering Research Center, Korea Ocean Research and Development Institute, Ansan P.O. Box 29, Seoul 425-600, South Korea |
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| Abstract: | It is studied whether the mass transport or energy transport is the proper viewpoint for internally generating waves in the extended Boussinesq equations of Nwogu J. Waterw., Port, Coastal Ocean Eng. 119 (1993) 618–638]. Numerical solutions of the Boussinesq equations with the internal generation of sinusoidal waves show that the energy transport approach yields the required wave amplitude properly while the mass transport approach yields wave amplitude different from the required one by the ratio of phase velocity to energy velocity. The waves which pass through the wave generation point do not cause any numerical distortion while the incident waves are generated. The technique of internal generation of waves shows its capability of generating nonlinear cnoidal waves as well as linear sinusoidal waves. |
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