Abstract

A solution to the kinematic wave equations for overland flow routing where the lateral inflow term is determined from a constant rainfall rate and the infiltration model of Philip is presented. The solution utilizes the method of characteristics, and while it is not completely analytical, it is reduced to a simple numerical procedure which does not require the use of finite differences. The analysis presented deals with both the rising and falling stages. Example calculations, water surface profiles, and hydrographs are shown.

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