一个改进的二阶Boussinesq方程模型在线性波浪反射问题中的适用性研究

基于改进型的二阶Boussinesq方程,在交错网络下建立数值模型.利用模型模拟波浪在常水深情况下的传播,波浪反射系数均低于2％.利用该模型模拟波浪在平斜坡前的反射,并将数值结果与解析解进行对比.结果表明,对于相对水深较大情况,坡度较陡时模拟结果明显偏大；对 于相对水深较小情况,坡度超过1:1时,数值结果仍与解析解有....

Applicability of one second-order Boussinesq model in the linear wave reflection problem

A numerical model in staggered grids was established based on the second order Boussinesq equations. Numerical simulations were carried out in a constant water depth in a flume, and the simulated wave reflection values were lower than 2%. The model was applied to calculate wave reflection from a plane slope, and the calculated reflection values were compared with analytical solution. Numerical results were larger than analytical solution only for steep cases in relative water depth, and numerical results agreed well with the analytical solution even for steep slope more than 1:1 in relative shallow water depth. Finally, the models were applied to Bragg reflection from a finite number of consecutive sills and wave reflection for wave propagating over arc-shape topography, and the numerical results were compared with the corresponding experimental results. The former comparison showed that the overall numerical results were in good agreement with the experimental results, but the reflection coefficients were clearly too large around the peak reflection for dual-resonance sills cases. And the latter comparison showed that when the arc terrain angle was over 40 degrees, the numerical results agreed well with the analytical results.