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Three-dimensional numerical simulation of solitary wave run-up using the IB method
Institution:1. Coastal Disaster Research Center, Korea Institute of Ocean Science & Technology, 787 Haeanro, Ansan 426-744, Republic of Korea;2. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu, Sichuan 610065, China;3. Department of Civil and Environmental Engineering, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 133-791, Republic of Korea;1. Coastal Development & Ocean Energy Research Division, Korea Institute of Ocean Science and Technology, Ansan 426-744, Republic of Korea;2. Ocean Science & Technology School, Korea Maritime University, Ansan 426-744, Republic of Korea;3. School of Civil and Environmental Engineering, Cornell University, Ithaca 14853, USA;4. Institute of Hydrological and Ocean Sciences, National Central University, Jhongli, Taiwan;1. NeoEnBiz Co., Institute of Environmental Safety and Protection, DeawooTechnoPark A-1306, Bucheon, Kyeonggido 420-806, Republic of Korea;2. Department of Energy and Environmental System Engineering, University of Seoul, Seoul, Republic of Korea;3. Korea Institute of Ocean Science and Technology, 1270 Sa2dong, Ansan, Republic of Korea;4. Maritime and Ocean Engineering Institute, Daegeon, Republic of Korea;5. Shimoda Marine Research Center, University of Tsukuba, Shizuoka 415-0025, Japan;6. Hopkins Marine Station, Stanford University, Pacific Grove, CA 93950, USA
Abstract:Although the finite difference method is computationally efficient, it is acknowledged to be inferior when dealing with flow-over on structures with a complex geometry because of its rectilinear grid system. Therefore, we developed a numerical procedure that can cope with flow over structures with complex shapes while, at the same time, retaining the simplicity and efficiency of a rectilinear grid system. We used the immersed boundary method, which involves application of immersed boundary forces at solid boundaries rather than conventional boundary conditions, to investigate wave interactions with coastal structures in a three-dimensional numerical wave tank by solving the Navier–Stokes equations for two-phase flows. We simulated the run-up of a solitary wave around a circular island. Maximum run-up heights were computed around the island and compared with available laboratory measurements and previous numerical results. The three-dimensional features of the run-up process were analyzed in detail and compared with those of depth-integrated equations models.
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