Application of Three-dimensional IGN-2 Equations to Wave Diffraction Problems

Binbin  Zhao; Tianyu  Zhang; Wenyang  Duan; R. Cengiz Ertekin; Masoud Hayatdavoodi

doi:10.1007/s40722-019-00157-4

Application of Three-dimensional IGN-2 Equations to Wave Diffraction Problems

Binbin Zhao, Tianyu Zhang, Wenyang Duan (Lead / Corresponding author), R. Cengiz Ertekin, Masoud Hayatdavoodi

Civil Engineering

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Abstract

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 threedimensional 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.

Original language	English
Number of pages	13
Journal	Journal of Ocean Engineering and Marine Energy
DOIs	https://doi.org/10.1007/s40722-019-00157-4
Publication status	Published - 16 Dec 2019

Keywords

Irrotational Green–Naghdi theory
IGN-2 equations
Wave evolution
Wave transformation
Wave diffraction

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10.1007/s40722-019-00157-4

Author Accepted Manuscript
This is a post-peer-review, pre-copyedit version of an article published in Journal of Ocean Engineering and Marine Energy. The final authenticated version is available online at: https://doi.org/10.1007/s40722-019-00157-4.
Accepted author manuscript, 943 KB

Cite this

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title = "Application of Three-dimensional IGN-2 Equations to Wave Diffraction Problems",

abstract = "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 threedimensional 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 resultsagree 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.",

keywords = "Irrotational Green–Naghdi theory, IGN-2 equations, Wave evolution, Wave transformation, Wave diffraction",

author = "Binbin Zhao and Tianyu Zhang and Wenyang Duan and Ertekin, {R. Cengiz} and Masoud Hayatdavoodi",

note = "The work is supported by the National Natural Science Foundation of China (Nos. 11572093, 262 11772099, 51490671), International Science and Technology Cooperation Project sponsored 263 by National Ministry of Science and Technology of China (No. 2012DFA70420), the Special 264 Fund for Basic Scientific Research of Central Colleges (Harbin Engineering University), the 265 Heilongjiang Touyan Innovation team Program.",

year = "2019",

month = dec,

day = "16",

doi = "10.1007/s40722-019-00157-4",

language = "English",

journal = "Journal of Ocean Engineering and Marine Energy",

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T1 - Application of Three-dimensional IGN-2 Equations to Wave Diffraction Problems

AU - Zhao, Binbin

AU - Zhang, Tianyu

AU - Duan, Wenyang

AU - Ertekin, R. Cengiz

AU - Hayatdavoodi, Masoud

N1 - The work is supported by the National Natural Science Foundation of China (Nos. 11572093, 262 11772099, 51490671), International Science and Technology Cooperation Project sponsored 263 by National Ministry of Science and Technology of China (No. 2012DFA70420), the Special 264 Fund for Basic Scientific Research of Central Colleges (Harbin Engineering University), the 265 Heilongjiang Touyan Innovation team Program.

PY - 2019/12/16

Y1 - 2019/12/16

N2 - 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 threedimensional 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 resultsagree 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.

AB - 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 threedimensional 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 resultsagree 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.

KW - Irrotational Green–Naghdi theory

KW - IGN-2 equations

KW - Wave evolution

KW - Wave transformation

KW - Wave diffraction

U2 - 10.1007/s40722-019-00157-4

DO - 10.1007/s40722-019-00157-4

M3 - Article

SN - 2198-6444

JO - Journal of Ocean Engineering and Marine Energy

JF - Journal of Ocean Engineering and Marine Energy

ER -

Application of Three-dimensional IGN-2 Equations to Wave Diffraction Problems

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