Focused Wave Properties Based on A High Order Spectral Method with A Non-Periodic Boundary

In this paper,a numerical model is developed based on the High Order Spectral(HOS) method with a non-periodic boundary.A wave maker boundary condition is introduced to simulate wave generation at the incident boundary in the HOS method.Based on the numerical model,the effects of wave parameters,such as the assumed focused amplitude,the central frequency,the frequency bandwidth,the wave amplitude distribution and the directional spreading on the surface elevation of the focused wave,the maximum generated wave crest,and the shifting of the focusing point,are numerically investigated.Especially,the effects of the wave directionality on the focused wave properties are emphasized.The numerical results show that the shifting of the focusing point and the maximum crest of the wave group are dependent on the amplitude of the focused wave,the central frequency,and the wave amplitude distribution type.The wave directionality has a definite effect on multidirectional focused waves.Generally,it can even out the difference between the simulated wave amplitude and the amplitude expected from theory and reduce the shifting of the focusing points,implying that the higher order interaction has an influence on wave focusing,especially for 2D wave.In 3D wave groups,a broader directional spreading weakens the higher nonlinear interactions.