BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy

Abstract

We propose two models of the Boltzmann equation (BGK and Fokker-Planck models) for rarefied flows of diatomic gases in vibrational non-equilibrium. These models take into account the discrete repartition of vibration energy modes, which is required for high temperature flows, like for atmospheric re-entry problems. We prove that these models satisfy conservation and entropy properties (H-theorem), and we derive their corresponding compressible Navier-Stokes asymptotics.

arXiv commentJournal of Statistical Physics, Springer Verlag

References in corpus (2)

• A Fokker-Planck model of the Boltzmann equation with correct Prandtl number
• Rational Extended Thermodynamics of a Rarefied Polyatomic Gas with Molecular Relaxation Processes

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• Two-temperature fluid models for a polyatomic gas based on kinetic theory for nearly resonant collisions
• BGK and Fokker Planck Models for thermally perfect gases