Objective  To address the problem of wave amplitude attenuation and phase shift with respect to propagation time and distance in numerical simulation, a set of parametric design methods that can stabilize wave generation in multiple periods is given.

  Methods  Based on Navier-Stokes equations and volume of fluid (VOF) method, a numerical simulation of fifth-order Stokes wave is carried out. Through the analysis of the discrete scheme of the one-dimensional wave equation, the influence of several important parameters on wave-generation effect is studied. Finally, the proposed parametric design method is used to carry out the three-dimensional numerical calculation of the resistance and motion response of the KRISO container ship (KCS) in head seas.

  Results  The results show that parameters such as inner iteration times, grid resolution, and Courant number can be accurately set according to certain rules to ensure that the error of wave amplitude is about 5% within 20 wave periods and about 10% within 40 wave periods. Through the three-dimensional numerical calculation of a KCS ship, the results obtained show an error of about 10% compared with the experimental results of model,

  Conclusion  which verifies the feasibility of this method.