Geodesic
The details of the detonation wave calculation using numerical schemes of different approximation orders
Matematičeskoe modelirovanie, Tome 27 (2015) no. 7, pp. 75-79.

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: numerical modeling, detonation wave, one-stage chemical kinetics model, ENO-scheme, Runge–Kutta method. 
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A. I. Lopato; P. S. Utkin. The details of the detonation wave calculation using numerical schemes of different approximation orders. Matematičeskoe modelirovanie, Tome 27 (2015) no. 7, pp. 75-79. http://geodesic.mathdoc.fr/item/MM_2015_27_7_a11/

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