Two mathematical models where used for numerical simulation of flows of reactive gas mixes: the simplified mathematical model of two-phase chemical reaction [1] and model based on the full system of gas dynamics equations accompanied with the system of kinetics equations in the integral form. The state equations for everyone component of gas are set in tabular form, thus the enthalpy of formation and heat conductivity are considered as tabular functions of temperature of gas mix. The gas mix was assumed to be non viscous.
For application of modern TVD or ENO algorithms transition to characteristic variables of full system of the equations for any number of components of gas mixes is carried out. Decomposition on eigenvectors was made for real tabular equations of state in connection with [2]. For realization of numerical algorithm on the basis of mathematical model transition to dimensionless unknowns is carried out, namely for gas dynamics unknowns, constants of kinetics of chemical reactions and tables constants of the equations of state. The formulation of boundary condition for reactive gas mixes is discussed. Numerical simulation of flows in the combustion chambers of two configurations of detonation engines [3,4] was carried out.
[1] Korobeinikov VP, Levin VA, Markov VV, Astronautica Acta Vol. 17:pp. 529—537. 1972.
[2] Glaister PJ J. of Comp. Phys. Vol. 77: pp. 361—383 1988.
[3] Bykovskii FA, Zhdan SA, Vedernikov FF Continuous spin and pulse detonation of hydrogen-air mixtures in supersonic flow generated by a detonation wave. Proceedings of 22 ICDERS, Minsk, Belarus 2009.
[4] Levin VA, Nechaev YN, Tarasov AI Control of detonation processes. Ed. G. Roy. Moscow, Elex-KM Publishers pp. 197—201 2000
