唐家山堰塞湖泄洪的理论模型及数值模拟

The Theoretical Model and Numerical Simulation for the Flood Discharging of Tangjiashan Barrier Lake

针对2008年全国研究生数学建模竞赛A题,研究和解决汶川地震中唐家山堰塞湖的泄洪问题.建立了唐家山堰塞湖的蓄水量模型、溃坝模型、洪水演进模型和人员调度模型等理论模型,并给出了这些模型的精确数值模拟.模拟结果显示,提出的模型具有较高的精度,依据该模型提出的调度方案能够合理解决泄洪时的人员撤离问题,具有重要的参考意义.

This paper studies and solves the problem of flood discharging for Tangjiashan Barrier Lake in the Wenchuan Earthquake, which is the Problem A of the National Graduate Mathematics Modeling contest in 2008. The model of water storage in Tangjiashan Barrier Lake, the dam-break model, the flood routing model and the staff dispatching model are proposed, and the accurate numerical simulations of these models are given. The results of the simulations show that the proposed models have high precision, and the scheduling based on the models can serve as an important reference to solve the problem of people＇s evacuation during the flood discharging.