A boundary integral technique for free surface

A boundary integral technique has been developed for two-dimensional, free surface flows in complex geometries in hydraulic engineering. Based on the assumption of steady, ideal, irrotational flow in a channel a system of integral equations, which are valid on the boundaries of the solution domain, have been derived using the theory for mixed-boundary problems of an analytical function. The boundary integral equations are solved for the velocities on the solid boundary and the free surface, the shape of the free surface and for the the critical Froude number for which waves first occur.