Simulation of unsteady premixed flames with detailed chemical kinetics using the space-time method

In the present paper, one-dimensional deflagration-to-detonation transition was studied numerically. The governing equations are based on conservation of mass, momentum, energy, and species concentrations. Both global (one step) and detailed kinetics involving multiple species were considered in the reaction model. The numerical solutions were obtained by using Space-Time Conservation Element and Solution Element (CE/SE) method with implicit treatment of stiff source terms in the species equations, based on a volumetric integration over a space-time stencil domain. Results showed that CE/SE inethod is able to resolve the detonation wave reasonably well without local mesh refinement. Due to the different time scales of flow residence and chemic;il reaction, sub-time steps were used for species transport equations to ensure numerical efficiency and stability with minimum numerical diffusion. This paper represents a first attempt of a series studies in regard to the detonation wave using detailed chemical kinetics.