Extending the Particle ESBGK Method to Diatomic Molecules including Quantized Vibrational Energies

Marcel Pfeiffer

doi:10.1063/1.5054961

Extending the Particle ESBGK Method to Diatomic Molecules including Quantized Vibrational Energies

Computational Physics 2018-11-09 v1 Fluid Dynamics

Authors: Marcel Pfeiffer

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Abstract

The particle-based ellipsoidal statistical Bhatnagar-Gross-Krook (ESBGK) model is extended to diatomic molecules and compared with the Direct Simulation Monte Carlo (DSMC) method. For this an efficient method is developed that optionally allows the handling of quantized vibrational energies. The proposed method is verified with a gas in an adiabatic box relaxing from a non-equilibrium state to an equilibrium. It is shown that the analytical Landau-Teller expression as well as DSMC results agree very well with the new method. Furthermore, the method is compared with DSMC results and experimental measurements of a hypersonic flow around a 70 $^\circ$ blunted cone. It is shown that the ellipsoidal statistical BGK compares very well with the DSMC results while saving up to a factor of $\approx 35.8$ CPU time for this low Knudsen number case.

Keywords

particle ESBGK method diatomic molecules quantized vibrational energies DSMC hypersonic flow Landau-Teller Knudsen number

Cite

@article{arxiv.1809.00148,
  title  = {Extending the Particle ESBGK Method to Diatomic Molecules including Quantized Vibrational Energies},
  author = {Marcel Pfeiffer},
  journal= {arXiv preprint arXiv:1809.00148},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1805.11030

Extending the Particle ESBGK Method to Diatomic Molecules including Quantized Vibrational Energies

Abstract

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