A bodies subjected to an oncoming wave train. The model is fully nonli
near in that no assumptions of smallness either in wave steepness or i
n body motions are made. The basic algorithm is based on a boundary in
tegral formulation and time-stepping of the nonlinear free-surface con
straints in an Eulerian frame of reference. Simple techniques are devi
sed to overcome numerical instability problems that are encountered in
the proposed method. The simulation time can be extended over several
periods of steady-state oscillations depending on the size of the com
putational domain. Several illustrative results simulating large heave
and roll motions as well as drifting of a rectangular body are presen
ted and discussed. The numerical predictions are also evaluated agains
t model tests which include several nonnegligible nonlinear phenomena,
and the agreement is encouraging.