References
- [1] Shchlkin K.I, Troshin Y.K., 1965, Gasdynamics of Combustion. Mono Book Corporation.
- [2] Peraldi, O, Knystautas, R., Lee, J.H., 1986, “Criteria for Transition to Detonation in Tubes,” Proc. 21st Symp. (Int.) Combust. pp. 1629–1637.
- [3] Dorofeev, S. B., Sidorov, V. P., Kuznetsov, M. S., Matsukov, I. D., Alekseev, V.I., 2000, “Effect of Scale on the Onset of Detonations,” Shock Waves, 10, pp. 302–315.
- [4] Frolov, S. M., 2008, “Fast Deflagration-to-detonation Transition,” Russian Journal of Physical Chemistry B, 2(3), pp. 442–455.
- [5] Gamezo, V. N., Ogawa, T., and Oran, E. S., 2008, “Flame Acceleration and DDT in Channels with Obstacles: Effect of Obstacle Spacing,” Combustion and Flame, 155(1-2), pp. 302–315.
- [6] Ogawa, T., Gamezo, V. N., and Oran, E. S., 2013, “Flame Acceleration and Transition to Detonation in an Array of Square Obstacles,” Journal of Loss Prevention in the Process Industries, 26(2), pp. 355–362.
- [7] Goodwin, G. B., Houim, R. W. and Oran, E. S., 2016, “Effect of Decreasing Blockage Ratio on DDT in Small Channels with Obstacles,” Combustion and Flame, 173, pp 16–26.
- [8] Dziemińska, E., Fukuda, M., Hayashi, A. K., and Yamada, E., 2012, “Fast Flame Propagation in Hydrogen-Oxygen Mixture,” Combustion Science and Technology, 184, pp. 1608–1615.
- [9] Butler, T. D., and O’Rourke, P. J., 1977, “A Numerical Method for Two Dimensional Unsteady Reacting Flow,” International Symposium on Combustion, 16, pp 1503–1515.
- [10] Yu, S. and Navarro-Martinez, S. 2015, “Modeling of Deflagration to Detonation Transition Using Flame Thickening,” Proceedings of the Combustion Institute, 35, 1955–1961.
- [11] Poinsot, T, and Veynante, D., 2005, Theoretical and Numerical Combustion, 2nd edition, Edwards.
- [12] Wada, Y. and Liou, M. S., 1997, “An Accurate and Robust Flux Splitting Scheme for Shock and Contact continuities,” SIAM Journal on Scientific Computing, 18(3), pp 633–657.
- [13] Gottlieb, S. and Shu, C. W., 1998, “Total Variation Diminishing Runge-Kutta Schemes,” Mathematics of Comutation, 67, pp 73–85,.
- [14] Shimizu, K., Hibi, A., Koshi, M., Morii, Y. and Tsuboi, N., 2011, “Updated Kinetic Mechanism for High-pressure Hydrogen Combustion,” Journal of Propulsion and Power, 27(2), pp 383–395.
- [15] Maeda, S., Minami, S., Okamoto, D., Obara, T., 2016, “Visualization of Deflagration-todetonation Transitions in a Channel with Repeated Obstacles Using a Hydrogen-oxygen Mixture,” Shock Waves, 26, pp. 573–586.
- [16] Gamezo, V. N., Desbordes, D. and Oran, E. S., 1999, “Two-dimensional Reactive Flow Dynamics in Cellular Detonation Waves,” Shock Waves, 9(1), pp 11–17.