Технология построения локально детализированных разностных сеток для расчета зон поражения при взрывах газа и пыли в угольных шахтах

Abstract

The article describes the technology of discretization of the computational domain for solving unsteady gas-dynamic problems in the field of industrial safety of coal mines. The most important of this problem is the calculation of the parameters of air shock waves and the affected areas during methane explosions in mine workings. The technology allows you to automate the construction of a differential grid for a spatial network of mine workings, taking into account the features of the mines topology and simulated processes. At the same time, the grid can consist of cells of various dimensions – one-dimensional, two-dimensional and three-dimensional. The aim of the work is to create the basics for the development of scientific research of gas-dynamic processes in gas explosions in mining workings by taking into account new factors – means of explosion protection, the participation of coal dust, etc. The tasks of the work include: developing an addressing system for identification and quick access to arbitrary cells of the difference grid; the construction of unambiguous spatial relationships between the corresponding faces of the cells during their splitting and combining; testing of the technology on the mine network of a real mine. A new approach in the work is the possibility of automating the partition of the computational domain with the simultaneous use of cells of all three dimensions. The article contains details of the implementation of technology. The article shows the results of splitting the network of mine workings in a real coal mine, the results of calculations using the obtained grid and the convergence of the results to a solution when reducing the step as a result of subsampling the computational domain with different depth of splitting.