Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases

Abstract : Rarefied gas flows obey to the Boltzmann equation, but numerical simulations of this equation are not always possible, so that simpler models have been introduced. The ES-BGK equation is one of these models. It gives the correct transport coefficients for the Navier Stokes approximation, so that Boltzmann or ES-BGK simulations are expected to give the same results for dense gases, but in the case of a rarefied flow, complete numerical comparisons are needed. In this paper we present numerical comparisons between the two models in transitional regimes (where the ES-BGK model is expected to be useful) for reentry flows around a compression ramp and a plate. We also emphasize that the ES-BGK model gives flow predictions closer to the Boltzmann result than the simpler BGK model.
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Rapport
[Research Report] RR-3872, INRIA. 2000
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https://hal.inria.fr/inria-00072782
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Soumis le : mercredi 24 mai 2006 - 10:53:14
Dernière modification le : mercredi 20 juin 2018 - 14:20:08
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:22:07

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  • HAL Id : inria-00072782, version 1

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Pierre Andries, Jean-François Bourgat, Patrick Le Tallec, Benoît Perthame. Numerical comparison between the Boltzmann and ES-BGK models for rarefied gases. [Research Report] RR-3872, INRIA. 2000. 〈inria-00072782〉

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