In this paper, a time domain higher-order boundary element method (THOBEM) is introduced to solve the problem of the freak wavemooring lines-body interaction. Based on the Longuet-Higgins model, modulate the initial phase, we obtain waves which satisfy the definition of freak waves in a short period. The simulation results show that coefficients of skewness and kurtosis at head side are larger than that at back side. When the focusing positions set in head side, the peak value of wave run-up is decrease along with spectral periods, initial phase and increase along with spectral widths.

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