Uptake of Contaminants by Overland Flowby Nikolaos D. Katopodes, Univ of Michigan, Ann Arbor, United States,
Bahram Taheri, Univ of Michigan, Ann Arbor, United States,
Abstract: A mathematical model is developed for the uptake of contaminants by overland flow. The model is based on the numerical solution of the Navier-Stokes equations coupled with a two-equation turbulence model in the vertical plane. The numerical solution is performed on a deforming finite-element grid that locates the free surface by coupling the kinematic boundary condition equation with the flow equations. The dynamic free-surface condition is enforced by letting all stresses vanish. Empirical proximity functions are used for both the solid bed and the free surface, which diminishes turbulent fluctuations as these boundaries are approached.
Subject Headings: Overland flow | Hydrologic models | Mathematical models | Free flow | Water pollution | Water quality | Turbulent flow | Navier-Stokes equations
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