Unsteady Spillway Flows by Singular Integral Operators Method

Evangelos G. Ladopoulos

Interpaper Research Organization, Athens, Greece.

DOI: 10.4236/eng.2012.43017                

Abstract

The Singular Integral Operators Method (S.I.O.M.) is applied to the determination of the free-surface profile of an un-steady flow over a spillway, which defines a classical hydraulics problem in open channel flow. Thus, with a known flow rate Q, then the velocities and the elevations are computed on the free surface of the spillway flow. For the numerical evaluation of the singular integral equations both constant and linear elements are used. An application is finally given to the determination of the free-surface profile of a special spillway and comparing the numerical results with corresponding results by the Boundary Integral Equation Method (B.I.E.M.) and by using experiments.

Keywords

Unsteady Flows; Spillway; Free-Surface; Open Channel Hydraulics; Singular Integral Operators Method (S.I.O.M.); Constant & Linear Elements; Potential Flows

Conflicts of Interest

The authors declare no conflicts of interest.

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