Generalized Storage Equations for Flood Routing with Nonlinear Muskingum Models

Abstract

The nonlinear Muskingum model is a leading method for hydrologic routing. The efficiency of the nonlinear Muskingum model for routing of hydrograph outflow has been improved in recent years. This study introduces four Muskingum models with improved, generalized, nonlinear storage equations. The proposed models provide more degrees of freedom in fitting observed hydraulic data than other corresponding nonlinear Muskingum models and they have better predictive skill for river flow than other nonlinear Muskingum models. The accuracy of the proposed Muskingum models is herein demonstrated with examples.