Author(s)

X. Wen, K. Manik & D.B. Ingham

Abstract

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 do- main, 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. 1 Introduction The free surface flow of an incompressible, irrotational and inviscid fluid under the force of gravity has been the subject of considerable research in hydraulic engineering over many y

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