Mathematical modeling of pulsating detonation wave using ENO-schemes of different approximation orders

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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.

Keywords: pulsating detonation wave, ENO-schemes, Runge–Kutta schemes
Citation in English: Lopato A.I., Utkin P.S. Mathematical modeling of pulsating detonation wave using ENO-schemes of different approximation orders // Computer Research and Modeling, 2014, vol. 6, no. 5, pp. 643-653

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