【摘要】 本文从工程应用角度研究了港池中波浪的折射、绕射问题。考虑到粘性效应和池壁对波浪的不完全反射,我们首先推广了Berkhoff方程,然后提出了杂交有限元的数值方法。数值结果表明:加入摩擦效应与池壁的不完全反射作用的数值模拟与实际情况更加相近。控制方程能自动适应深浅水情况。各种坝堤对波浪的吸收作用可以通过反射系数反映出来。边界全吸收情况相当于对应固壁边界消失,因此我们可以用同一网格数据方便地模拟不同池壁(如防波堤)的各种设计方案。计算结果也表明,适当选择粘性系数可以得到与实验值较为一致的数值结果。更多还原

【Abstract】 A study of reflect and scattered waves in a harbor in view of engineering application is presented here. Berkhoff equation is firstly extended to include effect of viscosity and incomplete-reflection on the solid boundary. By using hybrid element numerical method, our numerical results show that friction and boundary absorption effect should be considered for satisfactory simulation of real wave fields. The governing equation can be adapted to both shallow and deep water. Wave energy absorpted by diffrent kinds of breakwaters and dams is specified by reflection coefficient and the complete-absorption is equivalent to a zero reflection coefficient. Therefore a grid mesh can be used to simulate many diffrent designs of different solid boundaries. Numerical result also shows a good agreement with experimental datas with suitable selection of friction coefficient.更多还原