English

An ES-BGK model for vibrational polyatomic gases

Statistical Mechanics 2020-07-07 v1 Mathematical Physics Analysis of PDEs math.MP

Abstract

We propose an extension of the Ellipsoidal-Statistical BGK model to account for discrete levels of vibrational energy in a rarefied polyatomic gas. This model satisfies an H-theorem and contains parameters that allow to fit almost arbitrary values for the Prandtl number and the relaxation times of rotational and vibrational energies. With the reduced distribution technique , this model can be reduced to a three distribution system that could be used to simulate polyatomic gases with rotational and vibrational energy for a computational cost close to that of a simple monoatomic gas.

Keywords

Cite

@article{arxiv.2007.02727,
  title  = {An ES-BGK model for vibrational polyatomic gases},
  author = {Y Dauvois and J. Mathiaud and Luc Mieussens},
  journal= {arXiv preprint arXiv:2007.02727},
  year   = {2020}
}
R2 v1 2026-06-23T16:53:00.650Z