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Effect of bottom slope on the nonlinear triad interactions in shallow water

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Abstract

This paper aims at investigating the effect of bottom slope to the nonlinear triad interactions for irregular waves propagating in shallow water. The physical experiments are conducted in a wave flume with respect to the transformation of waves propagating on three bottom slopes (β = 1/15, 1/30, and 1/45). Irregular waves with different type of breaking that are mechanically generated based on JONSWAP spectra are used for the test. The obviously different variations of spectra measured on each bottom reveal a crucial role of slope effect in the energy transfer between harmonics. The wavelet-based bispectrum were used to examine the bottom slope effect on the nonlinear triad interactions. Results show that the different bottom slopes which waves are propagated on will cause a significant discrepancy of triad interactions. Then, the discussions on the summed bicoherence which denote the distribution of phase coupling on each frequency further clarify the effect of bottom slope. Furthermore, the summed of the real and imaginary parts of bispectrum which could reflect the intensity of frequency components participating in the wave skewness and asymmetry were also investigated. Results indicate that the value of these parameters will increase as the bottom slope gets steeper.

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Funding

This research is supported financially by the open fund of the State Key Laboratory of Coastal and Offshore Engineering at Dalian University of Technology (Grant No. LP1702), a scientific research foundation of Northeast Electric Power University (Grant No. 11510).

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Authors and Affiliations

  1. School of Civil Engineering and Architecture, Northeast Electric Power University, Jilin, 132012, China

    Hongzhou Chen, Xiaocheng Tang & Ri Zhang

  2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian, 116024, China

    Hongzhou Chen

  3. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, China

    Junliang Gao

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  1. Hongzhou Chen
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  2. Xiaocheng Tang
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  3. Ri Zhang
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  4. Junliang Gao
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Correspondence to Xiaocheng Tang.

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Responsible Editor: Bruno Castelle

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Chen, H., Tang, X., Zhang, R. et al. Effect of bottom slope on the nonlinear triad interactions in shallow water. Ocean Dynamics 68, 469–483 (2018). https://doi.org/10.1007/s10236-018-1143-y

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  • DOI: https://doi.org/10.1007/s10236-018-1143-y

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