Prediction of the wave-induced motions of vessels moored in locations with complex bathymetry involving variable water depth represent a challenge for standard 3-dimensional diffraction methods. In this paper a modified diffraction method is introduced based on a multi-domain approach capable of handling different water depths in each domain. The theoretical background is briefly discussed along with some aspects of the numerical implementation. The method is applied to three examples which are known to present difficulties for the standard diffraction codes based on a single water depth and one involving infinitely long reflecting boundaries.

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