Publications

Zhang, HD., Ducrozet, G., Klein, M. and Guedes Soares C. (2017), “An experimental and numerical study on breather solutions for surface waves in the intermediate water depth”, Ocean Engineering, Vol. 133, pp. 262-270

A series of laboratory experiments related to Ma breather solution have been carried out in a seakeeping wave tank with different initial wave steepness and nondimensional water depth. The laboratory observations can be simulated very well in the numerical wave tank constructed by the higher-order spectral model (HOS) if the initial Benjamin-Feir index is not very large. Comparisons of the experimental results reveal that the maximum wave height in Ma breather solution is normally accompanied with a large crest amplitude, which can be largely reduced with the decreasing water depth regardless of the initial nonlinearity. Numerical studies also indicate that in the evolutionary process the amplitude of carrier wave will decrease sharply and a peak frequency downshifting can be detected. If the evolutionary time scale is long enough, the spectrum will eventually evolve into a continuous one with the energy relocated in the lower wave frequency part. Besides, in Peregrine breather solution, it is found that a phase shift at the initial condition can lead to a longer distance for the wave group to travel to achieve the first maximal amplitude and a larger amplification factor than that predicted by the theoretical solution.

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