WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Thermochemical Non-Equilibrium Reentry Flows in Two-Dimensions – Part II
Authors: ,
Abstract: This work presents a numerical tool implemented to simulate inviscid and viscous flows employing the reactive gas formulation of thermochemical non-equilibrium. 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 problems of the hypersonic flow around a double ellipse and around a reentry capsule, in two-dimensions, are simulated. The reactive simulations will involve an air chemical model of five species: N, O, N2, O2 and NO. Seventeen chemical reactions, involving dissociation and recombination, will be studied. 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, Thermochemical non-equilibrium, Hypersonic flow, Van Leer algorithm, Finite Volumes, Unstructured discretization