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Strengths and Weaknesses of Shallow Water Equations in Steep Open Channel Flow

by R. C. Berger, USAE Waterways Experiment Station, Vicksburg, United States,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

Abstract:

The paper evaluates the strengths and weaknesses of shallow water equations in steep open channel flow. These equations, 1) St. Venant equations, 2) steep slope shallow water equations and 3) a form of Dressler's equations are analyzed. A numerical model of these three equations is used to generate results which are compared with flume results for flow over a spillway crest and the dominant deficiencies of each equation set is illustrated and discussed.

Subject Headings: Open channel flow | Spillways | Numerical models | Shallow water | Numerical analysis | Mathematical models | Hydraulic models

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