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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41594

Title: Numerical solutions of ideal quantum gas dynamical flows governed by semiclassical ellipsoidal-statistical distribution
Authors: Jaw-Yen Yang
Chih-Yuan Yan
Manuel Diaz
Juan-Chen Huang
Zhihui Li
Hanxin Zhang
Contributors: 國立臺灣海洋大學:商船學系
Keywords: two-dimensional Riemann problems
semiclassical Boltzmann equation
ellipsoidal-statistical Bhatnagar–Gross–Krook
total variation diminishing
discrete ordinate method
Date: 2014-01
Issue Date: 2017-03-08T07:05:38Z
Publisher: Proceedings of the Royal Society A
Abstract: Abstract: The ideal quantum gas dynamics as manifested by the semiclassical ellipsoidal-statistical (ES) equilibrium distribution derived in Wu et al. (Wu et al. 2012 Proc. R. Soc. A 468, 1799–1823 (doi:10.1098/rspa.2011.0673)) is numerically studied for particles of three statistics. This anisotropic ES equilibrium distribution was derived using the maximum entropy principle and conserves the mass, momentum and energy, but differs from the standard Fermi–Dirac or Bose–Einstein distribution. The present numerical method combines the discrete velocity (or momentum) ordinate method in momentum space and the high-resolution shock-capturing method in physical space. A decoding procedure to obtain the necessary parameters for determining the ES distribution is also devised. Computations of two-dimensional Riemann problems are presented, and various contours of the quantities unique to this ES model are illustrated. The main flow features, such as shock waves, expansion waves and slip lines and their complex nonlinear interactions, are depicted and found to be consistent with existing calculations for a classical gas.
Relation: 470(2161)
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/41594
Appears in Collections:[商船學系] 期刊論文

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