Channel routing in open-channel flows with surges

Using numerical models for the purpose of channel-routing calculation has b een well accepted in engineering practice. However, most traditional models fail to predict the transcritical flows because of numerical instability. This paper presents two high-resolution, shock-capturing schemes for the si mulation of 1D, rapidly varied open-channel flows. The present schemes inco rporate the method of characteristics to deal with the unsteady boundary co nditions. Also, the Strang-type splitting operator is used to include the e ffects of bottom slope and friction terms. To assess the performance of the proposed algorithms, several steady and unsteady problems are simulated to verify the accuracy and robustness in capturing strong shocks in open-chan nel flows. Furthermore, the results of dynamic flood routing and steady rou ting are compared to demonstrate the risk of using steady routing for flood mitigation.