Turbulent Thermochemical Non-equilibrium Reentry Flows with Magnetic Actuation in 2D – Seven Species

Abstract

In this work, a study involving the Maciel scheme to solve the reactive Favre averaged Navier-Stokes equations, coupled with a turbulence model and the Maxwell equations is performed. The Favre averaged Navier-Stokes equations coupled with the Maxwell equations, in conservative and finite volume contexts, employing structured spatial discretization, are studied. Seven species chemical model, based on the work of Blottner, is considered for the numerical experiments. Turbulence is taken into account considering the implementation of five k-w two-equation turbulence models, based on the works of Coakley 1983; Wilcox; Yoder, Georgiadids and Orkwis; Coakley 1997; and Rumsey, Gatski, Ying and Bertelrud. For the magnetic coupling, the Gaitonde formulation is taken into account. Three integration methods are studied to march the algorithm in time. The “hot gas” hypersonic flow along a blunt body is the numerical experiment for comparisons. The results have indicated that the Coakley 1983 model yields the best prediction of the stagnation pressure value, with an error inferior to 10.00%, and the best prediction of the lift aerodynamic coefficient.