摘要
In the paper, a weak coupling numerical model is developed for the study of the nonlinear dynamic interaction between water waves and permeable sandy seabed. The wave field solveris based on the VOF (Volume of Fluid) method for continuity equation and the two-dimensional Reynolds Averaged Navier Stokes (RANS) equations with a k-ε closure. The free surface of cnoidal wave is traced through the PLIC-VOF (P/ecewise Linear/nterface Construction). Blot's equations have been applied to solve the sandy seabed, and the u-p fmite dement formulations are derived by the application of the Galerkin weighted-residual procedure. The continuity of the pressure on the interface between fluid and porous medium domains is considered. Laboratory tests were performed to verify the proposed numerical model, and it is shown that the pore-water pressures and the wave heights computed by the VOF-FEM models are in good agreement with the experimental results. It is found that the proposed model is effective in predicting the seabed-nonlinear wave interaction and is able to handle the wave-breakwater-seabed interaction problem.
In the paper, a weak coupling numerical model is developed for the study of the nonlinear dynamic interaction between water waves and permeable sandy seabed. The wave field solveris based on the VOF (Volume of Fluid) method for continuity equation and the two-dimensional Reynolds Averaged Navier Stokes (RANS) equations with a k-ε closure. The free surface of cnoidal wave is traced through the PLIC-VOF (P/ecewise Linear/nterface Construction). Blot's equations have been applied to solve the sandy seabed, and the u-p fmite dement formulations are derived by the application of the Galerkin weighted-residual procedure. The continuity of the pressure on the interface between fluid and porous medium domains is considered. Laboratory tests were performed to verify the proposed numerical model, and it is shown that the pore-water pressures and the wave heights computed by the VOF-FEM models are in good agreement with the experimental results. It is found that the proposed model is effective in predicting the seabed-nonlinear wave interaction and is able to handle the wave-breakwater-seabed interaction problem.
基金
The study was financially supported by the National Natural Science Foundation of China(Grant Nos.10202003 and 50479015)
Program for New Century Excellent Talents in University(NCET-05-0710)