On a 2-D numerical wave tank in viscous fluid

The numerical scheme developed by Huang et al. (1998) for solving the wave-making problem in a two-dimensional numerical wave tank was employed to generate different incident waves, including small- and finite-amplitude waves and solitary waves. To generate the small-amplitude waves, the displacement of the wavemaker was determined from the linear wavemaker theory. To generate relatively long finite-amplitude waves and to make sure that the generated waves have a permanent form, Madsen's second-order wave maker theory (Madsen, 1971) was applied to determine the wavemaker motion. The accuracy of the numerical results for the incident wave profiles and the associated boundary layer flows were verified by comparison with the analytical solutions.