A TVD discretization method for shallow water equations:Numerical simulations of tailing dam break  

作　　者：Chen Luo Ke Xu Yunsheng Zhao 

机构地区：[1]College of Engineering China University of Geosciences Room 401,Structure Building,388 Lumo Road Hongshan District,Wuhan 430074,P.R.China [2]Safety Science and Technology Research Center University of Science and Technology Beijing Room 305,Main Building,30 Wuluo Road Wuchang District,Wuhan 430074,P.R.China

出　　处：《International Journal of Modeling, Simulation, and Scientific Computing》2017年第3期338-359,共22页建模、仿真和科学计算国际期刊（英文）

摘　　要：In view of the disastrous consequences of tailings dam break and its unique evolutionary process in complex areas,this paper constructs two-dimensional shallow water equations,rheological equations and mathematical models of tailings sand flows on the basis of Navier–Stokes equations(N–S equations).It performs total variation diminishing(TVD)discretization on these equations,develops forward simulation programs in MATLAB2016 and conducts numerical analyses on three kinds of dam breaks(ideal dam break,asymmetric dam break and dam break with obstacles in the downstream area).The results show that TVD discretization is effective in capturing shock waves.According to the analysis on consequences of Huangmailing Tailings Dam break,the author obtains the maximum distance of tailings sand flow,the flow rate of tailings and the time that tailings reach destinations in the downstream area,thereby providing scientific basis for disaster analyses on similar tailings dam breaks and supplying technical support for emergency rescues after disasters.

关 键 词：Tailings reservoir dam-break sand flow model two-dimensional shallow water equation total variation diminishing discretization 

分 类 号：O17[理学—数学]