Abstract
The accuracy of prediction and ease of use of the three popular flood routing models; simplified dynamic Wave, diffusion wave, and full dynamic wave were evaluated. The models were evaluated along a reach of the Credit River Watershed, in Southern Ontario, Canada. The simplified dynamic wave model showed better accuracy and easier formulation when compared against the diffusion wave and the full dynamic wave models. Indicating that the simplified dynamic wave model can be applied to reaches where the diffusion wave and the full dynamic wave models may not be applicable. The principle novel contributions of the paper are (a) the extension of the flood routing formulations by Keskin and Agiralioglu, (b) the use of a prismatic channel and floodplain with varying top-widths, (c) the validation of the methodology through the application of an event simulation to an actual river reach, and (d) comparison of the modeling results to those obtained using the full dynamic wave model and the diffusion wave models.
Highlights
Flow routing is a procedure to determine the time and magnitude of flow at a point on a watercourse from known or assumed hydrographs at one or more points upstream
When compared to the diffusion wave model the results show that the simplified dynamic wave model generates a smaller peak flow and time-to-peak than the diffusion wave model
For this particular reach of the Credit River, it was shown that the simplified dynamic wave model performed better than both the diffusion wave and general dynamic wave models
Summary
Flow routing is a procedure to determine the time and magnitude of flow at a point on a watercourse from known or assumed hydrographs at one or more points upstream. If the channel and floodplain are treated as a single composite section, flow discharges are generally under-estimated. Methods have been developed to provide users with simple tools that are robust yet efficient These simple and efficient methods enable one to gain insight into the main features of flood propagation in river channels to avoid the numerical complexity of dynamic wave routing models. Such simplified methods are limited in their application. A more computationally efficient routing model is required that solves the complete Saint-Venant equations and considers other sub-processes within the channel routing sub-routine such as transmission losses, evaporation losses and bank storage
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