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

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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. 
@article{MM_2015_27_7_a11,
     author = {A. I. Lopato and P. S. Utkin},
     title = {The details of the detonation wave calculation using numerical schemes of different approximation orders},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {75--79},
     publisher = {mathdoc},
     volume = {27},
     number = {7},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_7_a11/}
}
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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/