diffusion wave method

it is important to have a fast and accurate model for predicting incoming hydrographs in order to reduce the financial and life damage in flood forecasting systems as well as water allocation issues, especially high priority consumption. In this study, using diffusion wave model, inverse flood routing in Yuan River in China was performed using mixing cell and Crank Nicolson numerical method. These numerical methods were chosen because of their high computational speed and no need for river topographic and hydraulic information. For this purpose, Yuan River flood information data for five years were used, then the numerical simulation results were compared with observational data. Accordingly, the statistical indices of coefficient of determination, Nash-Sutcliffe index, Wilmot index and residual sum coefficient were determined. The results showed that both numerical methods have good accuracy. The maximum error for the observed and calculated maximum discharge in Crank-Nicolson and mixing cell methods were 0.22 and 0.59%, respectively. Based on the results obtained in the prediction of maximum discharge and inlet hydrograph, it was found that the Crank Nicolson method is more accurate than the mixing cell method.