Abstract:
The results of the numerical investigations of pulsating detonation wave propagation using the ENO-schemes with the approximation orders from the first to the fourth inclusively are presented. The results obtained with the use of the schemes of different approximation orders demonstrate that the pattern of detonation wave propagation in acetylene-air mixture corresponds to the analytical estimates both qualitatively and quantitatively. For the hydrogen-air mixture none of the schemes concerned provides the stable detonation wave propagation. The transition from the regular mode to the marginal one with the subsequent detonation breakup is observed.
Citation:
A. I. Lopato, P. S. Utkin, “Mathematical modeling of pulsating detonation wave using ENO-schemes of different approximation orders”, Computer Research and Modeling, 6:5 (2014), 643–653
\Bibitem{LopUtk14}
\by A.~I.~Lopato, P.~S.~Utkin
\paper Mathematical modeling of pulsating detonation wave using ENO-schemes of different approximation orders
\jour Computer Research and Modeling
\yr 2014
\vol 6
\issue 5
\pages 643--653
\mathnet{http://mi.mathnet.ru/crm298}
\crossref{https://doi.org/10.20537/2076-7633-2014-6-5-643-653}
\elib{https://elibrary.ru/item.asp?id=22671507}
Linking options:
https://www.mathnet.ru/eng/crm298
https://www.mathnet.ru/eng/crm/v6/i5/p643
This publication is cited in the following 4 articles:
A. I. Lopato, Ya. E. Poroshina, P. S. Utkin, “Chislennoe issledovanie mekhanizmov rasprostraneniya pulsiruyuschei gazovoi detonatsii v neodnorodnoi srede”, Kompyuternye issledovaniya i modelirovanie, 15:5 (2023), 1263–1282
Ya. E. Poroshyna, A. I. Lopato, P. S. Utkin, “Characteristic Analysis of the Dynamics of Shock Wave Propagation in a Medium with a Nonuniform Density Distribution”, Russ. J. Phys. Chem. B, 16:4 (2022), 670
A. I. Lopato, P. S. Utkin, “Two approaches to the mathematical modeling of detonation wave”, Math. Models Comput. Simul., 8:5 (2016), 585–594
A. I. Lopato, P. S. Utkin, “Detailed simulation of the pulsating detonation wave in the shock-attached frame”, Comput. Math. Math. Phys., 56:5 (2016), 841–853