Abstract
The numerical computation of gas flows with non-equilibrium thermodynamics and chemistry is considered. Several thermodynamic models are discussed, including an equilibrium model, a general non-equilibrium model and a simplified model based upon vibrational relaxation. The effects of the various models on the state equation and the homogeneity property of the Euler equations is described. Flux-splitting procedures are developed for the fully-coupled inviscid equations involving fluid dynamics, chemical production and internal energy relaxation processes. New forms of flux-vector split and flux-difference split algorithms valid for non-equilibrium flow, are embodied in a fully coupled, implicit, large-block structure. Several numerical examples in one space dimension are presented, including high-temperature nozzle flows with hydrogen-air chemistry.
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Grossman, B., Cinnella, P. (1989). Upwind methods for flows with non-equilibrium chemistry and thermodynamics. In: Dervieux, A., Larrouturou, B. (eds) Numerical Combustion. Lecture Notes in Physics, vol 351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-51968-8_95
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DOI: https://doi.org/10.1007/3-540-51968-8_95
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