摘要
以一种新型的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,并通过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.通过对均匀水深水域内波浪传播的数值模拟说明,模型能较好地模拟大水深水域和强非线性波的传播.通过设置不同的入射波参数来进行潜堤地形上波浪传播的物理模型实验,并将数值解与物理模型实验结果进行了比较.
A numerical model is developed with a new type of Boussinesq equations employed as the governing equations. In the present numerical 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 a uniform depth from shallow to deep water and from linear to nonlinear waves. The calculations show that the results of the present numerical model are basically agreement with those of analytical solutions. An experiment is carried out for wave propagation over a submerged bar with different incident wave parameters. The comparisons between the numerical resolutions and the experimental data are made.
出处
《海洋学报》
CAS
CSCD
北大核心
2007年第4期137-147,共11页
基金
国家自然科学基金资助项目(4067605340106008)
2005年上海高等学校选拔培养优秀青年教师科研专项基金资助项目(032711)
