Mathematical modelling of moored ships in the time domain

This report describes the initial development of a mathematical model in the time domain of a moored ship in waves. This model, called SHIPMOOR, is necessary in order to represent, correctly, the motions of vessels on conventional mooring. This is because, normally, moorings are highly non-linear making a frequency space description inadequate. In this report SHIPMOOR is applied to two cases of practical interest under the simplifying assumption of frequency independent hydrodynamic coefficients. One application is to a vessel executing subharmonic sway motions against fenders. The second application is to the passing ship problem where the disturbance created by a vessel underway can cause lines to part on vessels moored nearby.