Time-domain full-nonlinear computations of an oscillating 2-D floating body

A full-nonlinear computation method based on the Mixed Eulerian-Lagrangian method is presented. The time marching is performed with the 4-th order Runge-Kutta-Gill scheme, and at each time step the integral equations for the velocity and acceleration fields are solved using a higher-order boundary-element method with quadratic isoparametric elements. Computed results are validated through comparisons with linear-theory results in the time and frequency domains, measurements of the time history of waves generated by a wavemaker, and Fourier-analyzed results of hydrodynamic forces acting on a heaving elliptic cylinder. All of these results are in virtually perfect agreement.