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


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 | Water flow | Numerical analysis | Hydraulic models | Numerical models | Spillways | Equations of motion | Slopes

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