Modelling of Ionisation Reactions and of the Resulting Electric Fields in One-Dimensional Hypersonic Shock Waves with the Direct Simulation Monte Carlo Method

摘要

The direct simulation Monte Carlo method is applied to ionized hypersonicrarefied flows. Calculations of the reaction rates are made with the method proposed by G.A. Bird and with the maximum entropy approach, which is extended to include reactions between monatomic and ionized particles. The assumptions made for the simulation of plasmas are discussed. A method for the treatment of electrons and the calculation of the electric field is described. The new approach for modeling plasmas is compared with the current modeling technique and both methods are compared with experimental data. Calculations for two normal shock wave test cases were performed: a real air test case at Mach 29 and an atomic hydrogen test case at Mach 60. The approach is in good agreement with the experimental data and offers a better explanation of the effects of nonequilibrium phenomena in the flow.