Finite Proximate Method for Simulating Flood Propagation in Complicated River Channel and Flood Detention Area

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.

• Periodical: Applied Mechanics and Materials (Volumes 300-301)
• Pages: 814-820
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.300-301.814
• Online since: February 2013
• Authors: Tai Ru Li, Zhong Yan Bai, Xiao Chun Peng, Tao He
• Keywords: Complicated River Channel, Finite Proximate Method, Flood Detention Area, Flood Propagation, Shallow Water Equation

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