Application of the CESE method to detonation with realistic finite-rate chemistry

Abstract

1 Research Assistant Professor, AIAA member, Email: [e-mail] 2 Associate Professor, AIAA member, Email: [e-mail] 3 Research Associate, AIAA member, Email:[e-mail] 4 Aerospace Engineer, AIAA Member, Email: [e-mail] 5 Aerospace Engineer, AIAA Member, Abstract In the present paper, we report high fidelity simulation of detonation initiated by reflected shock waves, propagating in premixed hydrogen/oxygen gas mixtures. Comprehensive model equations are solved by the Space-Time Conservation Element and Solution Element (CESE) method, including correctly derived Jacobian matrix and source term matrix, and comprehensive thermodynamics relations. Chemical reactions are modeled by two sets of reduced kinetics proposed by Oran et al. [14] and Youngster and Radhakrishnan [12] with nine specie/twenty-four reaction steps, and nine species/nineteen reaction steps, respectively. In the setting of the CESE method, stiff source terms in species equations due to chemical reactions are treated based on a unique space-time volumetric integration. Sub-time-step integrations are applied to resolve the chemical reaction time scales. The present approach is validated by favorable comparison between the present results and the equilibrium calculations by using the CEA program [10], and comparisons between the present approach and previous results by Oran et al. and Youngster and Radhakrishnan.