Mathematical modelling of wave-current interaction in a hydrodynamic laboratory basin

摘要

This dissertation concerns the study of surface waves on a layer of fluid when a current is present in the layer. In particular we derive a model that describes the adaptation process when a given surface wave on still water meets at a certain point a current. Both wave and current will then start to interact to reach a steady state situation. For the typical task of a hydrodynamic laboratory to generate a desired wave above a given current, this model can be used to design a method to predict the properties of the waves and current before the adaptation, which is desired for the practical generation process in the laboratory.