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题名: Numerical solutions of the semiclassical Boltzmann ellipsoidal-statistical kinetic model equation
作者: Jaw-Yen Yang
Chin-Yuan Yan
Juan-Chen Huang
Zhihui Li
贡献者: 國立臺灣海洋大學:商船學系
关键词: discrete-ordinate method
ellipsoidal-statistical Bhatnagar–Gross–Krook
semiclassical Boltzmann equation
rarefied quantum gas flows
日期: 2014-08
上传时间: 2017-03-08T06:50:47Z
出版者: Proceedings of the Royal Society A
摘要: Abstract: Computations of rarefied gas dynamical flows governed by the semiclassical Boltzmann ellipsoidal-statistical (ES) kinetic model equation using an accurate numerical method are presented. The semiclassical ES model was derived through the maximum entropy principle and conserves not only the mass, momentum and energy, but also contains additional higher order moments that differ from the standard quantum distributions. A different decoding procedure to obtain the necessary parameters for determining the ES distribution is also devised. The numerical method in phase space combines the discrete-ordinate method in momentum space and the high-resolution shock capturing method in physical space. Numerical solutions of two-dimensional Riemann problems for two configurations covering various degrees of rarefaction are presented and various contours of the quantities unique to this new model are illustrated. When the relaxation time becomes very small, the main flow features a display similar to that of ideal quantum gas dynamics, and the present solutions are found to be consistent with existing calculations for classical gas. The effect of a parameter that permits an adjustable Prandtl number in the flow is also studied.
關聯: 470(2168)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41593
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