二维均匀流与重力短峰波相互作用解析

短峰波和海流广泛分布于海洋之中,但二者的相互作用直到近些年才逐渐受到关注,根据速度势函数理论,推导二维均匀流与重力短峰波的相互作用,区别于之前的研究,推导时不考虑波面的毛细影响,避免了将位置变量(x)与时间变量(t)绑定的假设,使得二阶速度势函数包含了的时间(t)一阶项,从而给出了完整的二维流与短峰波交互作用的二阶解析解,对比结果说明上述考虑对于波流共同作用结果有影响,尤其是在波高较大时,影响更加明显,所得结果,可用于高波浪条件下海洋波浪与流相互作用的计算.

An analytical solution for the interaction of two-dimensional currents and gravity short-crest waves

Short-crest wave and current coexist widely in the ocean environments. However, the interaction between them has been studied recently and the method of velocity potential function was generally applied. Unlike the previous study, this article considers that location variable‘x'and time variable‘t'are independent of each other and it does not take into account the capillary effect, thus leading to an addition of a first-order time item in the second-order velocity potential function. Based on the perturbation technique, a second-order analytical solution is derived. Comparisons between the result in this article, where variables‘x'and‘t'are dependent on each other and the capillary effect is considered, and Huang's solutions show the difference. The difference between wave profile and wave pressure on mudline will become apparent with the increase of wave height, indicating that the solutions obtained in this article will be much suitable for ocean conditions with larger wave height.
Keywords： short-crest wave two-dimensional uniform currents interaction of wave and current second-order analytical solutions