Wave-less free-surface pressure distributions

Linear and nonlinear studies are made of two-dimensional free-surface flows under gravity, in which a disturbance is caused to an otherwise-uniform stream by a distribution of pressure over the free surface. In general, such a disturbance creates a system of trailing waves. However, there are special disturbances that do not, and some categories of such disturbances are discussed here. This work has potential applications to design of splash-less ship bows.