Modeling Unsteady One Dimensional Open Channel Flow Using the Slope Friction Form of the Saint-Venant Equations

by Robert G. Traver, Pennsylvania State Univ, University, Park, PA, USA,
Arthur C. Miller, Pennsylvania State Univ, University, Park, PA, USA,

Abstract: The flow of water in open channels has been an important research topic for many years. In 1871, B. De. Saint-Venant published a set of equations that attempted to quantify the physical processes occurring within a river reach. These partial differential equations, known as the Saint-Venant equations, are complex and analytically insolvable. Using these equations as a foundation, a number of schemes have been utilized to simplify the equations for analytical or numerical solution. A reformulated representation of the Saint-Venant equations is given which will constitute a more robust form when applied with numerical improvements. Such a tool will be of great use to the practicing engineer and the profession.

Subject Headings: Open channel flow | Numerical methods | Water flow | Mathematical models | Slopes | Friction | Mathematics | Open channels

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