BGK and Fokker-Planck models of the Boltzmann equation for gases with discrete levels of vibrational energy
| Autor: | Luc Mieussens, Julien Mathiaud |
|---|---|
| Přispěvatelé: | Commissariat à l'Energie Atomique et aux Energies Alternatives (CEA-CESTA), Commissariat à l'énergie atomique et aux énergies alternatives (CEA), Institut de Mathématiques de Bordeaux (IMB), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS), Université Bordeaux Segalen - Bordeaux 2-Université Sciences et Technologies - Bordeaux 1 (UB)-Université de Bordeaux (UB)-Institut Polytechnique de Bordeaux (Bordeaux INP)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Vibrational energy
FOS: Physical sciences Physics - Classical Physics BGK model 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Entropy (classical thermodynamics) 0103 physical sciences Statistical physics [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph] Rarefied Gas Dynamics H-theorem 010306 general physics Mathematical Physics Physics [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph] vibrational molecules Classical Physics (physics.class-ph) Statistical and Nonlinear Physics Fokker-Planck model Boltzmann equation Diatomic molecule Vibration Compressibility Fokker–Planck equation |
| Zdroj: | Journal of Statistical Physics Journal of Statistical Physics, Springer Verlag, In press, ⟨10.1007/s10955-020-02490-7⟩ Journal of Statistical Physics, In press, ⟨10.1007/s10955-020-02490-7⟩ |
| ISSN: | 0022-4715 1572-9613 |
| DOI: | 10.1007/s10955-020-02490-7⟩ |
| Popis: | 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. Journal of Statistical Physics, Springer Verlag |
| Databáze: | OpenAIRE |
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