Abstract
A two-dimensional model is introduced for simulation of wave propagation of flood flows. The model has implicit finite difference scheme for integration of conservative form of equations of depthaveraged two-dimensional flow. Artificial viscosity is suggested as dissipative interface device and it can control nonlinear instability of two-dimensional model. Advantages of using smaller ratio of tail water to upstream head have been illustrated by examples. The propagation of flood waves in flood plain, which comes from steep channel, has been simulated and the change of flow condition has been illustrated.