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.