Numerical simulation of three-dimensional gas detonation

We investigate the characteristics of the three-dimensional detonation in an argon-diluted mixture of hydrogen and oxygen. The three-dimensional Euler equations with a simple chemical reaction model are used as the governing equations for the detonation problem. The spatial derivatives are evaluated using the WENO scheme, and the temporal derivative is calculated using the TVD Runge-Kutta method. It is verified that the detonation front is composed of incident shocks and Mach stems, joined at the lines of triple points by transverse waves. And the clear cellular structure is displayed by using a three-dimensional numerical visualization. The process of generating unburned gas pockets is shown by the spatial isosurface profiles of the reaction progress parameter in the exothermic period, and it is explained that the triple lines play a role of "shutter". Furthermore, the rectangles, enclosed by the triple lines, vary with the movement of the triple lines. Consequently, the evolution between the diagonal detonation and the rectangular detonation is realized.