Second-order unconditional positive preserving schemes for non-equilibrium reactive flows with mass and mole balance

In this study, a family of second order process based modified Patankar Runge-Kutta schemes is proposed with both the mass and mole maintained in balance while preserving positivity density pressure time step determined by convection terms. The accuracy analysis conducted to derive sufficient necessary conditions for coefficients. Coupling finite volume method, are extended Euler equations non-equilibrium reacting source Benchmark tests given prove prior validate positive-preserving property pressure.