Analytical models of hydrodynamic pressure field causing by a moving ship in restricted waterways

Based on the potential flow theory, a linear shallow-water wave equation which satisfies Laplace equation, free surface and seabed boundary conditions is established. For the slender ship assumption, boundary conditions of different restricted waterways and continuous matched condition across the step depth change between inner and outer regions, these mathematical problems of sub-subcritical, sub-supercritical, and super-supercritical mixed flows are solved analytically by using Fourier integral transform method, meanwhile, analytical models for ship hydrodynamic pressure field in different restricted waterways such as open water, rectangular canal, dredged channel and stepped canal are established. The characteristics of ship hydrodynamic pressure field in different restricted waterways and mixed flows are obtained by numerical calculation, the influences of sidewall or step on SHPF are analyzed. The analytical models are verified by the comparison between the calculated results with the experimental ones as well as the successful degeneration from complex models to simple ones.