Date | Jan 14, 2020 |
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Speaker | Stephane Brull |

Dept. | Univ. of Bordeaux |

Room | 27-116 |

Time | 10:30-11:30 |

In this talk we will present a derivation principle of BGK models using the resolution of an entropy minimization problem.

The construction is based as on the introduction of relaxation coefficients and a principle of entropy minimization under constraints for moments. These free parameters are next ajusted to transport coefficients when performing a Chapman-Engskog expansion ip to Navier-Stokes. Firstly, the methodology will be explained and illustrated for a monoatomic and polyatomic single gas.

Next the case of gas mixtures is considered. In this part, after clarifying the Chapman-Engskog, a BGK model is derived. This BGK model is proved to satisfy Fick and Newton laws. In a last part, we will explain how to extend our model to reacting gas mixtures.

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