Extending the particle ellipsoidal statistical Bhatnagar-Gross-Krook method to diatomic molecules including quantized vibrational energies
Extending the particle ellipsoidal statistical Bhatnagar-Gross-Krook method to diatomic molecules including quantized vibrational energies
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DOI：
10.1063/1.5054961
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发表时间：
2018-09
影响因子：
4.6
通讯作者：
M. Pfeiffer
中科院分区：
文献类型：
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作者：
M. Pfeiffer
将基于粒子的椭球统计Bhatnagar-Gross-Krook（ESBGK）模型推广到双原子分子，并与直接模拟蒙特卡罗（DSMC）方法进行了比较。为此，开发了一种有效的方法，该方法可选地允许处理量子化的振动能。所提出的方法进行了验证与绝热箱中的气体从非平衡状态放松到平衡。结果表明，解析Landau-Teller表达式以及DSMC结果与新方法非常吻合。此外，该方法与DSMC的结果和实验测量的高超声速绕70 °\circ\$钝锥流进行了比较。结果表明，椭球统计BGK比较非常好的DSMC结果，同时节省高达$\约35.8$ CPU时间的因素，这种低努森数的情况下。
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.