中文摘要：

以一种新型的含变换速度变量的Boussinesq型方程为控制方程组,采用五阶Runge-Kutta-England格式离散时间积分,采用七点差分格式离散空间导数,并采用恰当的出流边界条件,从而建立了非线性波传播的新型数值模拟模型.对均匀水深水域内波浪传播的数值模拟,说明在引入变换速度后进一步增大了模型的水深适用范围.对潜堤地形上波浪传播的数值模拟说明,在引入变换速度后进一步提高了模型的数值模拟精度.

英文摘要：

A numerical model is developed with a new type of Boussinesq equations including utility velocity variables employed as the governing equations.In the present model,the seven-point finite difference scheme is used to discretize the spatial derivatives,the fifth-order Runge-Kutta-England scheme is employed to perform the time integration,and the appropriate outflow boundary condition is adopted.Systematic numerical modeling of wave propagation is performed with uniform depth from shallow to deep water and from linear to nonlinear waves.The calculation results show that the present numerical model with utility velocity variables is valid for greater water depth than that without utility velocity variables.The numerical simulation of wave propagation is also performed in a wave tank with a submerged dike,and the comparisons between experimental data and numerical solutions are made.The calculation results show that the present numerical model is more accurate than that without utility velocity variables.