Mathematical modeling of detonation initiation and propagation in the complex-shaped domains

The present work is devoted to the development of the numerical algorithm for the mathematical modeling of gaseous detonation initiation and propagation and the complex-shaped domains using fully unstructured computational grids and high-order numerical schemes. Mathematical model is based on two-dimensional Euler equations supplemented with the one-stage chemical kinetics model. Numerical algorithm is based on the finite volume approach, AUSM numerical flux and the reconstruction of the grid-functions on unstructured grids. The canonical problem of cellular detonation formation is considered as the test case. The influence of grid resolution and the properties of the numerical scheme on the results of modeling is investigated. The problem of the critical geometrical conditions determination for the detonation initiation and propagation in the asymmetrical tube with variable cross-section area filled with stoichiometric hydrogen-air mixture is considered. The problem in consideration relates to the utilization of the industrial waste.