Journal of Advances in Mathematics and Computer Science

In this work, a study involving magnetic field actuation over reentry flows in thermochemical non-equilibrium is performed. The Euler and Navier-Stokes equations, on a finite volume and structured contexts, are studied. The Maciel algorithm used to perform the numerical experiments is centered and 2^nd-order accurate. The “hot gas” hypersonic flow around a blunt body is simulated. Two time integration methods are tested: Euler Backward, and Middle Point. The reactive simulations involve Earth atmosphere of eleven species. The Dunn and Kang model with thirty-two reactions and the Park model with forty-three reactions are taken into account. The work of Gaitonde is the reference to couple the fluid dynamics and Maxwell equations of electromagnetism. The results have indicated that the Maciel scheme, employing the Dunn and Kang chemical model, using the Mavriplis dissipation model and the Euler Backward to march in time, for the inviscid case, yields the best prediction of the stagnation pressure. Moreover, the drag coefficient and the temperature peak have presented the expected behavior in the simulations.