应用Boussinesq方程对Genus—2波系的理论研究

Study of Genus-2 Wave System Theory With Boussinesq Equation

本文应用Boussinesq方程,对由直立防波堤反射而形成Genus—2波系进行了理论研究。通过对Boussinesq方程二阶非线性波求解得到了4个不同传播方向的高阶波解。由一阶线性入射波与二阶非线性波的叠加在形成了具有双周期结构的Genus—2波系结构菱形波面图。通过物模实验,这种Genus—2波系的菱形波面得以呈现于物模港池中。物模实验与所做的数值结果比较可看出,数值结果与物模实验之值有着较好的吻合性。

In this paper it is study for Genus-2 wave system theory that has formed by both wertical wall reflection wave and incident wave being interaction with Boussinesq equation. Four un-same directional wave solution was gotten by Boussinesq equation second order nonlinear wave. Due to first order linear incident wave and second order nonlinear wave adding, it is formed that double periods Genus-2 wave system rhombus wave picture. The experiments in harbor pool demonstrated that Genus-2 wave system rhombus picture is exit. From results of comparison for both experiments and numerical solution it may find that the both value have good coincide.