WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Thermochemical Non-Equilibrium Entry Flows in Mars in Two- Dimensions – Part II
Authors: ,
Abstract: This work, second part of this study, describes the numerical results obtained by thermochemical non-equilibrium simulations of reactive flow in two-dimensions. The Van Leer and Liou and Steffen Jr. schemes, in their first- and second-order versions, are implemented to accomplish the numerical simulations. The Euler and Navier-Stokes equations, on a finite volume context and employing structured spatial discretization, are applied to solve the “hot gas” hypersonic flows around a double ellipse, around an entry capsule, and around a pathfinder in two-dimensions. The second-order version of the Van Leer and Liou and Steffen Jr. schemes are obtained from a “MUSCL” extrapolation procedure in a context of structured spatial discretization. The convergence process is accelerated to the steady state condition through a spatially variable time step procedure, which has proved effective gains in terms of computational acceleration (Maciel). The reactive simulations involve a Mars atmosphere chemical model of nine species: N, O, N2, O2, NO, CO2, C, CO, and CN, based on the work of Kay and Netterfield. Fifty-three chemical reactions, involving dissociation and recombination, are simulated by the proposed model. The Arrhenius formula is employed to determine the reaction rates and the law of mass action is used to determine the source terms of each gas species equation. The results have indicated the Van Leer scheme as the most accurate one, both inviscid and viscous cases.
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Keywords: Thermochemical non-equilibrium, Mars entry, Nine species model, Hypersonic “hot gas” flow, Finite volume, Euler and Navier-Stokes equations, Two-dimensions
Pages: 201-223
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #21