高阶Boussinesq类方程数值求解及试验验证

基于二阶非线性与色散的Boussinesq类方程,采用改善的Crank-Nicolson方法对不同情况下淹没潜堤上的波浪传播进行数值模拟。高阶方程与传统、改进型的Boussinesq方程计算结果进行比较,高阶方程的计算结果与实验吻合得更好。表明该高阶Boussinesq方程能够精确预测变水深、强非线性的复杂波况,可用于实际近岸海域波浪问题的计算。

Numerical simulation for higher-order Boussinesq type equations and experimental verifications

Based on the Boussinesq type equations with the second order nonlinearity and dispersion,an improved Crank-Nicolson method is employed to simulate the evolved wave propagation passing over the submerged bar.Comparisons are made between the experiment data and the numerical results,which clearly demonstrate the fact that higher-order Boussinesq type equations perform well in accurate prediction of the evolved wave fields than classic Boussinesq equations and the extended Boussinesq equations~(4]) in the uneven bottom and strong nonlinearity and dispersion.At the same time,the higher-order Boussinesq equations used in this paper is validated by experimental results,which proves that the present equations can be used to solve the practical coastal engineering problems.