@article { author = {Danialy, M. and Ghavasieh, A.R. and Attari, J.}, title = {Flood Propagation Forecasting Based on Non-linear Diffusive Wave Equation}, journal = {Journal of Hydraulics}, volume = {5}, number = {2}, pages = {31-47}, year = {2011}, publisher = {Iranian Hydraulic Association}, issn = {2345-4237}, eissn = {2645-8063}, doi = {10.30482/jhyd.2011.85454}, abstract = {Existence of a quick and accurate flood routing model is of great importance for river training as wellas flood forecasting and warning systems in order to prevent or mitigate flood casualties and damages.Diffusive wave is one of the channel routing methods in which acceleration terms have been neglectedin momentum equation. Among different types of diffusive wave models, Cappelaere equation,considering its unique features, was applied in present research. This model is an advection-diffusionequation, including non-linear parameters, with main advantage of no need for topographic andhydraulic characteristics of the river. In this paper, Leapfrog-Dufort Frankel finite differencenumerical scheme was used for discretization and numerical solution of the Cappelaere equationwhich increases computational speed of flood routing. Furthermore, a novel method of estimatingcelerity(C) and diffusivity (D) parameters was proposed which is superior to previous methods. In thismethod, C and D parameters can be calibrated just by observed hydrographs in a reach and areapplicable for future flood forecasting in the same reach. By this method, absolute independency ofparameter estimation in diffusive wave routing method from river geometry, manning roughness andbed slope is obtained. To validate the model and the proposed method of parameter estimation, therouted hydrographs were compared with the dynamic Saint-Venant equations in a synthetic prismaticchannel. Furthermore, the model was calibrated in a 80 km reach, Yasavol-Gharegooni, of Ghezel-Ozan river and results were tested against the observed hydrographs. Using the model, duration ofrouting in the channel and river were found to be 15.7 and 59 seconds respectively. Maximum error inpeak discharge in the channel and river does not exceed 0.04% and 0.24% respectively. Concerningtime to peak, the maximum error in the channel and river were 0.87% and 1.57% respectively. Resultsin the channel and the river showed that the proposed model is not only accurate in predicting peakdischarge and time of peak, but also is successful in Conserving mass of flood.}, keywords = {}, title_fa = {پیش بینی نحوه انتشار سیلاب با استفاده از موج پخشیدگی غیرخطی}, abstract_fa = {}, keywords_fa = {}, url = {https://jhyd.iha.ir/article_85454.html}, eprint = {https://jhyd.iha.ir/article_85454_96cfa226962b5958974b083ebc2ca7e7.pdf} }