Focusing of explosion waves: Three-dimensional mathematical modeling

The propagation and focusing explosionlike waves in a cubic volume filled with a gas was considered. The wave is generated by the expansion of a small volume of a gas with enhanced parameters located at different points inside the cube. This formulation of the problem simulates the process initiated by an explosion in a volume filled with a gas and the character of loading on the walls of the volume. 3D calculations of the propagation and cumulation of explosion waves with a short positive phase were performed for the first time. The results can be used in analyzing experiments aimed at modeling the initiation of combustion by the waves generated by a primary source in closed volumes with complex geometry.