Oran E S, Boris J P. Numerical Simulation of Reactive Flow [M]. New York: Elsevier Science Publishing, 1987.
[2]
Nettleton M A. Recent work on gaseous detonation [J]. Shock Waves, 2002, 12(1): 3-12.
[3]
Thomas G O, Williams R L. Detonation interaction with wedges and bends [J]. Shock Waves, 2002, 11(6): 481-492.
[4]
Deiterding R. A parallel adaptive method for simulating shock-induced combustion with detailed chemical kinetics in complex domains [J]. Comput Struct, 2009, 87(11): 769-783.
[5]
Frolov S M, Aksenov V S, Shamshin I O. Reactive shock and detonation propagation in U-bend tubes [J]. J Loss Prev Process Ind, 2007, 20(4): 501-508.
[6]
Uchida M, Suda T, Fujimori T, et al. Pressure loading of detonation waves through 90-degree bend in high pressure H2-O2-N2 mixtures [J]. Proc Combust Inst, 2011, 33(2): 2327-2333.
[7]
Westbrook C K. Chemical kinetics of hydrocarbon oxidation in gaseous detonations [J]. Combust Flame, 1982, 46: 191-210.
[8]
Jiang G S, Shu C W. Efficient implementation of weighted ENO schemes [J]. J Comput Phys, 1996, 126(1): 202-228.
[9]
Liu X D, Osher S, Chan T. Weighted essentially non-oscillatory schemes [J]. J Comput Phys, 1994, 115(1): 200-212.
[10]
Alexander R, Coyle J J. Runge-Kutta methods and differential-algebraic systems [J]. SIAM J Numer Anal, 1990, 27(3): 736-752.
[11]
Hosea M E, Shampine L F. Analysis and implementation of TR-BDF2 [J]. Appl Numer Math, 1996, 20(1): 21-37.
[12]
Alexander R. Diagonally implicit Runge-Kutta methods for stiff ODE's [J]. SIAM J Numer Anal, 1977, 14(6): 1006-1021.
[13]
Hairer E, Wanner G. Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems [M]. 2nd ed. Berlin: Springer-Verlag, 1991.
[14]
Kennedy C A, Carpenter M H. Additive Runge-Kutta schemes for convection-diffusion-reaction equations [J]. Appl Numer Math, 2003, 44(1-2): 139-181.
[15]
Li H, Ben-Dor G. Reconsideration of pseudo-steady shock wave reflections and the transition criteria between them [J]. Shock Waves, 1995, 5(1-2): 59-73.
[16]
Guo C M, Zhang D L, Xie W. The Mach reflection of a detonation based on soot track measurements [J]. Combust Flame, 2001, 127(3): 2051-2058.
[17]
Nettleton M A. Gaseous Detonation: Their Nature, Effects and Control [M]. London: Chapman and Hall, 1987.
[18]
Hornung H. Regular and Mach reflection of shock waves [J]. Annu Rev Fluid Mech, 1986, 18: 33-58.
[19]
Qu Q, Khoo B C, Dou H S, et al. The evolution of a detonation wave in a variable cross-sectional chamber [J]. Shock Waves, 2008, 18(3): 213-233.
