应用Boussinesq方程对非线性波与流相互作用的理论研究

A Study of Nonlinear Interaction of Wave-Current with Boussinesq Equation

本文应用了Ｂｏｕｓｓｉｎｅｓｑ方程，对潮汐势流与规则波和不规则波共存时的非线性二阶波一流相互作用现象进行了理论分析，得到了在等水深条件下非线性相互作用二阶波流计算公式。应用此一公式可分析发现波受水流的非线性作用，不同于波受地形等水深变化的影响，其二阶波流频率不变，仍保持一阶线性入射波频率。本文最后采用所推导得到的二阶波流计算公式，对不规则波与势流相互作用等现象进行工程验算。得到了与物模实验较为一致的计算结果。应用本文的计算公式可以对现有工程规范中波与流计算公式进行修正和补充。由于其简便易行。

This paper discussed second order nonlinear interaction of wave-current with Boussinesq epuation during there are tidal potential current and regular or irregular wave in constant depth of water. The formular is derived for calculating second order nonlinear interaction of wave-current. We find that nonlinear interaction of wave-current frequency always is first order incident wave frequency,this is different to nonlinear interaction of wave-wave. The calculation results demonstrate that the formular of wave-current nonlinear interaction is good adapt for experiments.