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本文以倾斜水底为边界条件,用摄动法求解二维非线性流体力学方程组,得到一种非线性波动群,其一阶近似与Biesel提出的势函数相同,文中对二阶近似进行了数值计算并就此解讨论了波浪破碎前的波动特性,特别包括了平均水位的下降,将所得结果与实验资料以及其他理论在其各自实用的有效范围内作了比较,结果表明,就波浪自深水至浅水传播的整个过程来说,本文提出的理论有更广泛的有效应用范围。
In this paper, we use the method of perturbation method to solve two-dimensional nonlinear fluid mechanics equations with the tilted bottom, and obtain a nonlinear wave group. The first-order approximation is the same as the potential function proposed by Biesel. In the second-order approximation, The wave characteristics before wave crushing are discussed and discussed, including the average water level drop. The results obtained are compared with the experimental data and other theories in their respective practical effective ranges. The results show that the wave characteristics from the deep water to The whole process of shallow water propagation, the theory proposed in this paper has a more effective range of applications.