In this paper, an efficient solution procedure for solving the multi-species reacting Navier-Stokes equations is presented. In particular, a multi-species Navier-Stokes formulation (including externally applied magnetic fields) has been developed to obtain an excellent representation of the individual species properties for accurate estimation of the effects of the magnetic fields. The equation set is composed of a set of conservation laws for each chemical species, which are all coupled together via source terms and solved on an unstructured mesh framework. The large difference between the densities of the various chemical species makes the governing equations stiff. To solve this problem, a Species-Preconditioning technique has been developed to improve the convergence of such flows. In addition, Roe-Turkel preconditioning has been applied to simulate the flow of the electron species. In this paper, the equations and the numerical procedure are validated with experimental data.
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