规则波在陡坡潜堤上传播变形的数值模拟

Numerical simulation of regular wave propagation and deformation on steep slope submerged breakwater

为考察缓坡假定条件下给出的水波方程在陡坡潜堤上的适用性,对一组双层Boussinesq型水波方程建立有限差分的计算模型,数值模拟波浪在两边坡坡度均为1∶2的梯形潜堤上的传播过程,并将计算的波面位移、各次谐波波幅与文献梯形潜堤实验数据进行对比.结果显示,二者吻合程度较高;同时,数值模拟的波面位移与实验数据的重合度超过0.99,表明该计算模型具有优良的线性与非线性性能.以上结果表明,该模型可适用于精确模拟坡度不大于1∶2的潜堤上非线性波浪的传播变形.

In order to investigate the applicability of the water wave equation under the assumption of gentle slope on steep submerged breakwater,a finite difference calculation model was established for a group of double-layer Boussinesq water wave equations to numerically simulate the wave propagation process on the trapezoidal submerged breakwater with the slope of 1∶2 on both sides,and compared the calculated wave surface displacement and harmonic wave amplitude with the experimental data of trapezoidal submerged breakwater in literature,the results show higher coincidence.At the same time,the coincidence degree between the simulated wave surface displacement and the experimental data is more than 0.99,which indicates excellent linear and nonlinear performance of calculation model.The above results show that the model can be used to accurately simulate the propagation and deformation of non-linear waves on submerged breakwaters with slope less than 1∶2.