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首页> 外文期刊>Ocean Engineering >Nonlinear wave profiles of wave-wave interaction in a finite water depth by fixed point approach
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Nonlinear wave profiles of wave-wave interaction in a finite water depth by fixed point approach

机译：固定点法在有限水深处波波相互作用的非线性波剖面

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摘要

In this paper, a superposition of two periodic wave profiles in a finite water depth was investigated. This paper is focused on the improvement of a wave profile on the linear superposition of two waves. This improvement was realized by introducing an iterative method, which was based on a fixed point approach. Application of the fixed point approach to the wave superposition made it possible to obtain a wave profile of wave-wave interaction. The improved result of the wave profile was in good agreement with that of the nonlinear perturbation solution of the second order. It was interesting that the improved result revealed the higher-order nonlinear frequencies for two interacting Stokes waves while Dalzell's solution by a perturbation method could not predict them.
机译：本文研究了有限水深中两个周期波剖面的叠加。本文着重于改进两个波的线性叠加上的波轮廓。通过引入一种基于定点方法的迭代方法可以实现此改进。定点方法在波浪叠加中的应用使得获得波波相互作用的波形成为可能。波廓的改进结果与二阶非线性摄动解的结果吻合良好。有趣的是，改进后的结果揭示了两个相互作用的斯托克斯波的高阶非线性频率，而通过扰动法的达泽尔解无法预测它们。

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