Abstract
Based on finite proximate method (FPM) with 5 points scheme, two-dimensional shallow water equations are discretized. The mathematical model of 2-D flows is developed for modeling flood propagation in complicated river channel and flood detention area, and the hydrodynamic boundary is resolved through the introduction of the fictitious water depth concept. According to predicting the instantaneous and partial dam-break in a frictionless, horizontal channel, the comparison proved that this method can reflect the dynamic process of flow and can well capture the discontinuity of the shallow water wave equations. The flood propagation in complicated river channel and flood detention area is stimulated numerically to reveal the complicated flow characteristics of flood waves. It is seen that FPM is one of the effective methods to solve problem of flood propagation, having good shock capturing capability.
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