Based on the image theory,the scattering problem of 2D objects in front of partially reflective vertical walls is equivalent to solving the scattering of the original object in open water and the linear superposition of the scattering from the image of the vertical wall.A numerical analysis model for the diffraction and radiation problems of arbitrary-shaped 2D objects in front of partially reflective vertical walls is established using a high-order boundary element method.The accuracy of the numerical model is validated through comparisons with published results of underwater rectangular boxes and submerged cylinders.The model is applied to investigate the impact of the reflection coefficient amplitude and phase,the distance between the box and the wall,on the wave-induced forces,added mass,and radiation damping on the water surface of the box.The results indicate that a larger amplitude of the reflection coefficient leads to greater fluctuations in wave exciting force,added mass,and radiation damping,with added mass becoming negative at certain frequencies.Changes in the phase angle alter the curves of wave forces,added mass,and radiation damping,significantly affecting the added mass in the low-frequency region.As the distance between the box and the vertical wall increases,the wave exciting force,added mass,and radiation damping on the box exhibit faster oscillations with wave numbers,and the peak frequency shifts towards the low-frequency side.
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