We study the multi-body problems with a nonzero speed or with current-wave interactions using the Green function method. The two problems are equivalent when the current is along the longitudinal direction of the ship.
The formulations of a single ship for the zero-speed and nonzero-speed cases are derived. The concepts, the motivations and the assumptions are explained. We also provide the derivations of the added mass and damping for the asymmetric ship profile. Then we extend the conclusions to the multiple ships and formulate the multi-body problems. The in-house program MDL Multi DYN is validated through the study of two Wigley hulls with zero speed in waves. After that, the results for two moving Wigley hulls are generated. The two ships are assumed to advance in parallel at the same speed. Finally, the effects of the separation distances and the different speeds are discussed.