水重力波统一变分原理导出的风生斜剖面波浪

Wind-Driven Slanting Profile Wave Derived from the Unified Variational Principle of Water Gravity Wave

考虑到目前应用的规则波具有对称于垂直坐标轴的波剖面,这与实际的风生海浪有较大差别,在应用水重力波统一变分原理导出线性波、孤立波、五阶斯托克斯波和流函数波的基础上,本文应用水重力波统一变分原理导出风生斜剖面波浪。其特点是波剖面在风压的作用下,不对称于垂直坐标轴,而是呈向前倾斜的形状。

Considering that at present the regular waves in common use have the profile symmetrized to a vertical axis, which are different from the actual wind-driven sea waves,and based on deriving linear wave, solitary wave, fifth order Stokes wave and stream function wave by using the Unified Variational Principle of Water Gravity Wave (UVPWGW), this paper derives wind-driven slanting profile wave by using UVPWGW. Its feature is that under the action of wind pressure , the wave profile is not symmetrized to a vertical axis, biut that it is in the forward slanting form.