Depth Averaged Model of Open Channel Flows with Lag between Main Flows and Secondary Currents in a Generalized Curvilinear Coordinate System

Abstract

It is important to consider the secondary currents induced by the stream line curvature to predict the river channel processes. In view of the refinements of the model proposed by Kalkwijk·De Vriend, the depth averaged 2-D flow equations including the development and attenuation of secondary currents along a stream line, which are considered by Ikeda et al. and Parker et al. analytically, are studied in the generalized curvilinear coordinate system. The depth averaged equation of the strength of secondary currents along a stream line is derived by using the Engelund model, and then is transformed into the curvilinear coordinates. It is shown that the experiments by Rozovskii can be predicted well by using the model equations