Analytical Diffusion Model for Flood Routing

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Abstract
An analytical diffusion model for flood routing which can take into account backwater effect and lateral flows has been developed. The model is applied to route the floods in a hypothetical rectangular channel with different upstream, downstream, and lateral boundary conditions. Different channel characteristics are assumed and the results obtained are found to check well with those obtained by the finite difference method of implicit scheme based on the complete Saint‐Venant equations for unsteady open channel flow. The model shows good results when applied to simulate flood flow conditions in 1980 and 1981 in the Lower Mun River, in Northeast Thailand. The model cannot be incorporated with detailed data of cross sections or river bed geometry but requires only their average values. The Chézy, C and the diffusivity, k due to channel irregularities are used in the model and are determined by trial and error during model calibration. The model provides an excellent means to analyze individual or overall ef...

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