Department of Civil Engineering, Faculty of engineering, Shahid Bahonar University of Kerman, Kerman, Iran.
The HLLC method is a good approximate Riemann solver that has the ability to resolve shock, contact and rarefaction waves. High-order accuracy is achieved using Total Variation Diminishing version of Weighted Average Flux (TVD-WAF) explicit method. The bed topography and friction source terms are treated in a fully implicit method. The accuracy of the scheme has been verified by the implementation of several computational tests. The results show the appropriate agreement of the present model results with the exact and analytical solutions.