Abstract
Extended Boussinesq equations with wave-current interaction are derived and a numerical model is developed in this study. It is difficult for a standard Boussinesq model to treat the effects of pre-existing current field on waves. The present numerical model can easily take ambient current conditions into account by dividing the flow velocity into the wave component and the current component. In order to investigate the performance of this model, some calculations are executed. Firstly, the results of the calculation are compared to the theoretical results of Brevic and Aas (1980). Only in the region of low ambient current, namely low effect of non-linearity, the agreement is good. Secondly, the wave blocking phenomenon is numerically simulated. Although the model cannot treat the wave breaking effect, the wave blocking is predicted to some extent.
