浅水非线性长波传播变形中会产生波一波相互作用,为较好地模拟这种现象,在非交错网格下建立了近似在O(μ^2)阶完全非线性的高阶Boussinesq数值模型。数值模型中采用了混合4阶Adams—Bashforth-Moulton格式和内部造波技术。数值计算了非线性长波在波浪水槽中的传播变形,计算结果与相关实验数据吻合较好,验证了该数值模型实用性。
The wave-wave interaction will occur during the process of nonlinear shallow long wave propagation. In order to better model this phenomenon, a numerical model is established by using a higher-order Boussinesq model with full nonlinearity accurate to 0(/~2) in unstaggered grids. In the numerical model, a composite fourth order Adams-Bashforth-Moulton scheme and internal wave generation method are adopted. Numerical simulations are made upon nonlinear long wave propagation in a flat flume with constant water depth, and the numerical results agree well with the relevant experimental data, which validates the practicability of the present model.