Journal
JOURNAL OF HYDROLOGIC ENGINEERING
Volume 16, Issue 11, Pages 946-954Publisher
ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)HE.1943-5584.0000379
Keywords
Flood routing; Hydrologic models; Optimization; Algorithms
Funding
- Young Researchers Club, Mashhad Branch, Islamic Azad University, Mashhad, Iran
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The linear form of the Muskingum model has been widely applied to river flood routing. However, a nonlinear relationship between weighted-flow and storage volume exists in most rivers, making the use of the linear Muskingum model inappropriate. On the other hand, the application of the nonlinear Muskingum model suffers from hydrologic parameters estimation. The current study aims at presenting the objective approach of the Nelder-Mead simplex (NMS) algorithm for the purpose of estimating the parameters of the nonlinear Muskingum model. The performance of this algorithm is compared with other reported parameter estimation techniques together with a historical example. Results of the implementation of this procedure indicate that the NMS algorithm is efficient for the estimating parameters of the nonlinear Muskingum models. This algorithm is easy to be programmed, and it is quite efficient for finding an optimal solution very quickly. Although this technique requires an initial guess for the parameter estimation, results of the sensitivity analysis of the initial parameter values showed that in 84.8% of the cases, the optimum or near-optimum results are achieved. DOI: 10.1061/(ASCE)HE.1943-5584.0000379. (C) 2011 American Society of Civil Engineers.
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