Abstract
The effect of the dynamic hydraulic diffusivity in kinematic-with-diffusion overland flow modeling has been tested. Unlike the kinematic hydraulic diffusivity, the dynamic hydraulic diffusivity is a function of the Vedemikov number. The results of numerical experiments showed a small lag in the rising limb when comparing two equilibrium rising hydrographs using kinematic and dynamic hydraulic diffusivities. The existence of the lag is attributed to the error of the solution that specifically excludes inertia. The error was quantified by integrating the absolute value of the difference between the two rising hydrographs, dividing this difference by the total runoff volume and expressing it as a percentage. The error is small and likely to be within 0.35 percent for a wide range of realistic flow conditions. Since the dynamic effect is shown to be small throughout a wide range of bottom slopes, a diffusion wave model with inertia may be all that is required to model the overland flow dynamics.
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© 1996 Springer Science+Business Media Dordrecht
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Ponce, V.M., Dillenberger, K.T. (1996). Effect of Vedernikov Number on Overland Flow Dynamics. In: Singh, V.P., Kumar, B. (eds) Proceedings of the International Conference on Hydrology and Water Resources, New Delhi, India, December 1993. Water Science and Technology Library, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0389-3_12
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DOI: https://doi.org/10.1007/978-94-011-0389-3_12
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