An Efficient Model for Transient Surface Waves in Both Finite and Infinite Water Depth |
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| Authors: | NING De-zhi TENG Bin ZANG Jun LIU Shu-xue |
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| Affiliation: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian;State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian;Department of Architecture and Civil Engineering, University of Bath, Bath, UK;State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian |
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| Abstract: | A numerical model is developed to simulate fully nonlinear extreme waves in finite and infinite water-depth wave tanks. A semi-mixed Eulerian-Lagrangian formulation is adopted and a higher-order boundary element method in conjunction with an image Green function is used for the fluid domain. The boundary values on the free surface are updated at each time step by a fourth-order Runga-Kutta time-marching scheme at each time step. Input wave characteristics are specified at the upstream boundary by an appropriate wave theory. At the downstream boundary, an artificial damping zone is used to prevent wave reflection back into the computational domain. Using the image Green function in the whole fluid domain, the integrations on the two lateral walls and bottom are excluded. The simulation results on extreme wave elevations in finite and infinite water-depths are compared with experimental results and second-order analytical solutions respectively. The wave kinematics is also discussed in the present study. |
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| Keywords: | focused waves fully nonlinear higher-order boundary element method image Green function infinite water-depth |
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