Numerical modeling of hydrodynamic accidents: Erosion of dams and flooding of territories

Abstract

A mathematical and numerical model of the joint dynamics of surface water and traction sediment is built, which takes into account the nonlinear dynamics of fluid and bottom deformation. The dynamics of surface waters is described by the equations of Saint-Venant, taking into account the spatially inhomogeneous distribution of the terrain. The transport of sediment loads is described by the nonlinear Exner equation, generalized to the case of a spatially inhomogeneous distribution of the parameters of the underlying surface. For the numerical integration of the Saint-Venant and Exner equations, a stable and well-tested CSPH-TVD method of the second order of accuracy is used, the parallel CUDA algorithm of which is implemented as a software package “EcoGIS-Simulation” for high-performance computing on supercomputers with graphic coprocessors (GPU). Hydrodynamic modeling of the processes of erosion of the enclosing dam of a real hydraulic facility and flooding of adjacent territories has been carried out. The parameters of the penetration of the enclosing dam and flooding zones, formed as a result of the development of a hydraulic accident at the tailing dump, have been determined. Based on the results obtained, it was concluded that the proposed method for numerical modeling of the joint dynamics of surface water and traction sediment can be more universal.

Keywords:

mathematical modeling, Saint-Venant and Exner equations, computational fluid dynamics, CSPH-TVD method, flood zones, shallow water, entrained sediment, dam breakthrough and erosion, tailing dump, parallel computing, CUDA algorithm