A CHARACTERISTIC-BASED FINITE VOLUME SCHEME FOR SHALLOW WATER EQUATIONS

We propose a new characteristic-based finite volume scheme combined with the method of Central Weighted Essentially Non-Oscillatory(CWENO) reconstruction and characteristics,to solve shallow water equations.We apply the scheme to simulate dam-break problems.A number of challenging test cases are considered,such as large depth differences even wet/dry bed.The numerical solutions well agree with the analytical solutions.The results demonstrate the desired accuracy,high-resolution and robustness of the presented scheme.