On the Optimization of Calculations of the Parameters of the Propagation of Air Shock Waves in the Places where the Geometry Branches of Coal Mines Changes

Abstract

Coal mines are hazardous production facilities. Explosions of methane and coal dust are especially dangerous. Such accidents require prompt and accurate prediction of shock wave propagation parameters in mine workings, as well as knowledge of distances from the explosion epicenter to the boundaries of the dangerous zone. This is required to ensure the safety of people during mining rescue operations. The work presents the results of research to optimize the numerical calculations of the air shock wave through the turns and places of change in the geometry of mine workings by the method of Godunov first order of accuracy. An approach to optimization based on replacement of nodal spatial difference cells with one-dimensional ones is proposed. The criteria under which such substitution is possible are defined. Theoretical estimates of acceleration of numerical calculations are presented.