Lateral Motions in Shallow Water by a 2.5D Approach

摘要

In this paper, a two and a half dimensional method derived from Chapman's approach is used to study the radiation problem of slender ships with forward speed during small amplitude oscillations in shallow water. A Multi-Transmitting Formula (MTF) from earthquake wave theory is applied to fulfill the radiation condition and to solve the two-dimensional flow problem. For the purpose of validation of the present method, computations are performed for a Series60 hull to obtain the hydrodynamic coefficients. The results of the computations are compared with those obtained from experiments as well as other methods such as Salvesen-Tuck-Faltinsen method and the three dimensional method. Finally, the influences of water depth and ship's speed on the hydrodynamic coefficients are illustrated by analyzing the numerical results obtained at different values.