Numerical modeling of two-dimensional shallow water flows over complex topography

This paper presented a high-resolution two-dimensional finite-volume numerical model on structured but non-uniform grids for unsteady two-dimensional shallow-water flow over complex topography.The HLLC approximate Riemann solver was utilized because it is suited to cases involving a wet-dry interface.Overall second order accuracy in space and time was achieved using a two-step unsplit MUSCL-Hancock method.To alleviate the problems associated with numerical instabilities,the friction source terms were treated in a partly implicit way.Finally,three tests were used to validate the solver of the present model and the results indicated that present model may simulate irregular topography accurately and stably.