流中水平无旋浅水波与大圆柱相互作用

Interaction Between the Large Cylinder and the Horizontal Irrotational Shallow Water Wave with Current

对于流中的水平无旋浅水波动 ,由三维的纳维 斯托克斯方程出发 ,导出了一组Boussinesq方程 .通过求解此方程组可得到一特定水深的水平速度及表面抬高 ,然后即可由解析表示式很容易地求出三维速度分布及压力分布 .用此方法讨论浅水波流绕射垂直穿剌水面大圆柱的波浪力 ,考虑了碎波影响 ,得到了较好的结果 .

Based on the Boussinesq assumption, a couple of equations for the horizontal irrotational shallow water wave are derived from the three dimension Navior-Stokes equations. The free surface displacement and horizontal velocities in a specific depth are obtained by solving the couple equations. Then the distribution of the vertical velocity and the pressure are obtained easily from the analytical expression. By the above procedure, the diffraction wave-current forces on the vertical large cylinder in shallow water with the breaking waves are computed. The results are good comparing with the experimental data.