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A BGK model for high temperature rarefied gas flows

High temperature gases, for instance in hypersonic reentry flows, show complex phenomena like excitation of rotational and vibrational energy modes, and even chemical reactions. For flows in the continuous regime, simulation codes use analytic or tabulated constitutive laws for pressure and temperat...

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Bibliographic Details
Published in:European journal of mechanics, B, Fluids B, Fluids, 2020-03, Vol.80, p.1-12
Main Authors: Baranger, C., Dauvois, Y., Marois, G., Mathé, J., Mathiaud, J., Mieussens, L.
Format: Article
Language:English
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Summary:High temperature gases, for instance in hypersonic reentry flows, show complex phenomena like excitation of rotational and vibrational energy modes, and even chemical reactions. For flows in the continuous regime, simulation codes use analytic or tabulated constitutive laws for pressure and temperature. In this paper, we propose a BGK model which is consistent with any arbitrary constitutive laws, and which is designed to make high temperature gas flow simulations in the rarefied regime. A Chapman–Enskog analysis gives the corresponding transport coefficients. Our approach is illustrated by a numerical comparison with a compressible Navier–Stokes solver with rotational and vibrational non equilibrium. The BGK approach gives a deterministic solver with a computational cost which is close to that of a simple monoatomic gas.
ISSN:0997-7546
1873-7390
DOI:10.1016/j.euromechflu.2019.11.006