完全非线性孤立波的稳态解

Steady Solutions of Fully Nonlinear Solitary Waves

报道了应用边界积分方法模拟完全非线性孤立波的传播,给出了稳态解的波形、流速场的数值计算结果.结果表明,本模型对计算孤立波的传播是有效的.当a/h>0.3时,自由液面上的水平流速、底部流速和垂向平均流速之间的差别是明显的.三阶Boussinesq方程的孤立波解比低阶方程的孤立波解更接近本文完全非线性的数值解.

This paper presents a B1EM based numerical simulation of fully nonlinear solitary wave propagation. The wave profiles and horizontal velocity distributions are provided for steady solitary waves. The results show that the present approach is valid for modeling the propagation of a solitary wave. We found that when α/h > 0.3 , the differences among the horizontal velocity evaluated on the free surface or on the bottom and the depth-averaged horizontal velocity are significant. The third order Boussinesq equations based solitary wave solution coincides with the fully nonlinear numerical results better than the lower order solutions do.