Free surface flows without waves

In this paper we explore, within the framework of first order theory, the existence of wave-free flows past submerged bodies in both two and three dimensions. This is done through consideration and mutual cancellation of the wave fields due to singularities and singularity distributions which can be interpreted in terms of body volume and vertical force distributions. The results may be of practical consequences for ship wave-making and also in connection with cavity flows beneath a free surface.