Formation and stability of near Chapman-Jouguet standing oblique detonation waves

A numerical investigation of the behavior of standing oblique detonation waves (ODWs) near the Chapman-Jouguet (minimum entropy) point is the main purpose of this investigation. The laminar, two-dimensional Navier-Stokes equations coupled with a nonequilibrium hydrogen-air combustion model based on chemical kinetics are used to represent the physical system. The equations are solved with the window allocatable resolver for propulsion computational fluid dynamics code (Parent, B., and Sislian, J. P., "The Use of Domain Decomposition in Accelerating the Convergence of Quasihyperbolic Systems," journal of Computational Physics, Vol. 179, No. 1, 2002, pp. 140-169). A time-accurate simulation of the formation of a standing ODW near the Chapman-Jouguet condition yields a nonoscillatory, stable structure. The stability of the ODW to inhomogeneities in the oncoming fuel-air mixture is assessed through other time-accurate simulations by artificially introducing small disturbances consisting of pure air just upstream of the ODW structure. The ODW is shown to be resilient to these disturbances. The induction process and radical formation within the ODW structure are also analyzed.