Numerical Simulation of Multilinear Muskingum Method in Horseshoe Shape Cross sections

Flood routing calculations are divided into hydraulic and hydrologic methods. Hydraulic methods are based on solving Saint-Venant equations and they enjoy high accuracy. Although hydrologic methods are in low accuracy, they are taken into consideration by researchers because they are applied so easily. In this research, multilinear Muskingum’s parameters were derived according to the mentioned cross sections. Then by comparing routed hydrographs with multilinear Muskingum method and Saint-Venant model, reference discharge coefficients were optimized and their values became one in horseshoe cross section. Afterward, based on these coefficients different hydrographs were routed was obtained by using continuity equation. The percentage error in simulating peak of the discharge hydrograph in horseshoe cross sections was calculated %0.7 and the time to peak discharge was estimated the same in both models and cross sections.