MuskingumCunge is used to route hydrographs through typical channel cross-sections using the Muskingum-Cunge routing method. This method is based on the continuity equation and the storage-discharge relation. The open channel cross-section is described with X and Y co-ordinates. Other inputs are the average longitudinal slope, the variation of Manning’s roughness coefficient across the width and a constant, and Beta of the stage-discharge curve which is also a function of the kinematic wave celerity.

MuskingumCunge shares same parameters as RouteChannel except for BETA. BETA is a function of the kinematic wave celerity and is a constant of the stage-discharge curve. Beta is a reflection of the channel shape. Beta has an upper limit of 1.67 and a lower limit of 1. Beta equals 1.67 for natural and wide rectangular channels, 1.5 for trapezoidal channels, 1.33 for triangular channels, 1.5 for rectangular channels.