Abstract
In this study, we systematically analyze the hydrodynamic interaction of two ships navigated parallel to each other in shallow water using the Taylor Expansion Boundary Element Method (TEBEM). As a low ship speed is assumed, the influence of the free-surface condition is neglected in the initial simulation. The influence of various parameters, including ship speed, water depth, and lateral distance between ships, on interaction force and moment are analyzed. Validation of the results using experimental data, boundary element method results, and numerical simulation results obtained using the Star CCM + commercial computational fluid dynamics software confirms that the TEBEM results are similar to those obtained using the high-order boundary element method and better than those obtained using the constant panel method. Further simulations assuming a free-surface effect are carried out using computational fluid dynamics calculations. Our results provide a high-precision and efficient analytical solution to the effects of viscosity, including the lifting force caused by asymmetric flow and free surfaces, in ship-to-ship interaction in restricted water and deeper insight into the influence on the results of the factors neglected by the potential flow simulation.
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