WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Reentry Flows in Chemical Non-Equilibrium in Three-Dimensions
Authors: ,
Abstract: This work presents a numerical tool implemented to simulate inviscid and viscous flows employing the reactive gas formulation of thermal equilibrium and chemical non-equilibrium in three-dimensions. The Euler and Navier-Stokes equations, employing a finite volume formulation, on the context of structured and unstructured spatial discretizations, are solved. These variants allow an effective comparison between the two types of spatial discretization aiming verify their potentialities: solution quality, convergence speed, computational cost, etc. The aerospace problem involving the hypersonic flow around a blunt body, in three-dimensions, is simulated. The reactive simulations will involve an air chemical model of five species: N, N_2, NO, O and O_2. Seventeen chemical reactions, involving dissociation and recombination, will be simulated by the proposed model. The Arrhenius formula will be employed to determine the reaction rates and the law of mass action will be used to determine the source terms of each gas species equation.
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Keywords: Euler and Navier-Stokes equations, Reactive formulation, Chemical non-equilibrium, Hypersonic flow, Van Leer algorithm, Three-dimensions