The details of the detonation wave calculation using numerical schemes of different approximation orders

The goal of the work is the mathematical modeling of detonation wave propagation using ENO-schemes with the approximation orders from the first to the fourth. Mathematical description of the detonation wave is based on the Euler equations supplemented with the one-stage chemical kinetics model. For the model hydrogen-air mixture for all numerical approaches concerned the transition from the regular detonation mode to the irregular one with the subsequent detonation combustion breakup is observed.