Green water computed with a spline-based collocation method for potential flow

We present a fully nonlinear method for numerical simulation of the inundation of an arbitrary solid body in large waves. The method is based on potential flow and is therefore expected to break down when wave breaking sets in. The method is expected to be useful to predict the initial phase of inundation and can thus give the flow field as initial condition to some other method more appropriate for the later stages of green water. We employ an artificial tri-harmonic potential inside the solid body in order to avoid introducing singularities in the solution. Spline-based basis potentials are constructed and are used in a collocation spectral method. We illustrate the method for the special case of waves inundating a truncated cylinder.