Numerical simulation of detonation with detailed chemical kinetics using the Space-Time Method

In this paper, the Space-Time Conservation Element and Solution Element method (or the Spacetime method) was used to study transient, one dimensional detonation phenomena. The governing equations are formulated based on the conservation of mass, species, momentum, and energy with detailed chemical kinetics included. In order to enhance the resolution of the detonation wave, a new local mesh refinement technique developed based on the space-time conservation concept was employed. The resultant scheme was then used to numerically investigate the following two ignition methods, i.e., the shock ignition method and the hotspot ignition method. For the shock ignition method, the strength of the spark and the grid sensitivity of numerical solutions are explored. For the hotspot ignition method, both the step-wise and the linear temperature distribution configurations are studied.