Application of three-dimensional IGN-2 equations to wave diffraction problems

Application of three-dimensional IGN-2 equations to wave diffraction problems
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DOI:
10.1007/s40722-019-00157-4
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发表时间:
2019-11
影响因子:
1.9
通讯作者:
Binbin Zhao;Tian-yu Zhang;W. Duan;R. Ertekin;Masoud;Hayatdavoodi
Binbin Zhao;Tian-yu Zhang;W. Duan;R. Ertekin;Masoud;Hayatdavoodi
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文献类型:
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作者:
Binbin Zhao;Tian-yu Zhang;W. Duan;R. Ertekin;Masoud;Hayatdavoodi

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我们使用II级无旋Green-Naghdi(IGN-2)方程来研究一些波浪绕射问题。IGN-2方程可以模拟强非线性波。本文发展了IGN-2方程的三维解,并将其应用于某些三维波的变换和绕射问题。三个测试案例被认为是。第一个是封闭盆地中的波浪演化。结果表明,IGN-2的结果符合良好的线性分析结果的小波幅。以下两种情况涉及由不平坦海床引起的波浪绕射问题。在这两种情况下,IGN-2模型和其他人的实验测量和数值预测之间获得了很好的一致性。结果表明,IGN-2模型可以较准确地模拟三维非线性波的绕射和变换。
We use the Level II Irrotational Green–Naghdi (IGN-2) equations to study a number of wave diffraction problems. The IGN-2 equations can model strongly nonlinear waves. The three-dimensional solution of the IGN-2 equations is developed in this work and applied to some three-dimensional wave transformation and diffraction problems. Three test cases are considered. First one is on wave evolution in a closed basin. It is shown that the IGN-2 results agree well with the linear analytical results for small wave amplitudes. The following two cases involve wave diffraction problems caused by an uneven seabed. In both of these cases, excellent agreement is obtained between the IGN-2 model and the experimental measurements and numerical predictions of others. It is concluded that IGN-2 model can be used to accurately model diffraction and transformation of nonlinear waves in three dimensions.