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本文根据作者以前提出的重力表面波非线性相互作用理论解,系统地探讨非线性三维波波要素四阶近似理论关系式的计算方法,其中包括二维行进波和立波,也适用于斜向波与直墙相互作用(全反射和部分反射)。给出二种主要计算情况的计算方法,其中包括利用拟牛顿法求解非线性波要素方程组,卡尔丹法、迭代法和级数近似解析式,分析比较表明,本文提供的计算方法较为精确、有效,可应用于计算波浪及其与建筑物相互作用。
Based on the theoretical solution of the nonlinear interaction of gravitational surface waves previously proposed by the author, this paper systematically explores the calculation method of the fourth-order approximate theoretical relation of nonlinear three-dimensional wave elements, including two-dimensional traveling wave and vertical wave, Interaction with straight walls (total reflection and partial reflection). Two main calculation methods are given, which include the use of quasi-Newton method to solve the nonlinear wave element equations, the Kalden method, the iterative method and the approximate analytical series. The analysis and comparison shows that the calculation method provided in this paper is more accurate, Effective, can be applied to calculate waves and their interaction with buildings.