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 the fluid and bottom deformation. The dynamics of surface waters is described by the Saint-Venant equations, 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 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 the software package “EcoGIS-Simulation” for high-performance computing on supercomputers with graphics processor units (GPU). Hydrodynamic modeling of the processes of erosion of the enclosing dam of a real hydraulic facility and flooding of adjacent territories is carried out. The parameters of penetration of the enclosing dam and flooding zones, formed as a result of the development of a hydraulic accident at the tailing dump, are determined. Based on the obtained results, it is concluded that the proposed method for numerical modeling of the joint dynamics of surface water and traction sediment can be more universal and efficient (has significantly better accuracy and performance) compared to available methods for calculating the parameters of the washout and flood zones, especially for hydrodynamic flows with complex geometry on an inhomogeneous bottom relief.

中文翻译：

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水力事故的数值模拟：水坝侵蚀和领土洪水

摘要

建立了地表水和牵引沉积物联合动力学的数学和数值模型，该模型考虑了流体和底部变形的非线性动力学。考虑到地形的空间分布不均匀性，地表水的动力学由圣维南方程描述。沉积物载荷的传输由非线性 Exner 方程描述，推广到下垫面参数空间非均匀分布的情况。对于 Saint-Venant 和 Exner 方程的数值积分，使用了一种稳定且经过良好测试的二阶精度 CSPH-TVD 方法，其并行 CUDA 算法作为软件包“EcoGIS-Simulation”实现，用于在具有图形处理器单元 (GPU) 的超级计算机上进行高性能计算。对实际水利设施的围护坝侵蚀过程和邻近地区的洪水进行了水动力建模。确定了由于尾矿库水力事故的发展而形成的封闭大坝和洪水区的渗透参数。根据获得的结果，可以得出结论，与现有的用于计算地表水和牵引沉积物参数的方法相比，所提出的地表水和牵引沉积物联合动力学数值模拟方法可以更通用和有效（具有明显更好的精度和性能）冲刷区和洪水区，