Inelastic collision selection procedures for direct simulation Monte Carlo calculations of gas mixtures

Inelastic collision selection procedures for direct simulation Monte Carlo calculations of gas mixtures
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用于直接模拟气体混合物蒙特卡罗计算的非弹性碰撞选择程序

DOI:
10.1063/1.4825340
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发表时间:
2013
期刊:
影响因子:
4.6
通讯作者:
T. Schwartzentruber
T. Schwartzentruber
中科院分区:
工程技术2区
文献类型:
--
作者:
Chonglin Zhang;T. Schwartzentruber

文献摘要

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提出了对现有唯象非弹性碰撞选择程序的修改,该程序适用于模拟气体混合物的内部能量交换过程间接模拟蒙特卡罗计算。选择过程不依赖于旋转和振动弛豫过程的相对顺序,并且不需要对每次碰撞求解二次方程来确定非弹性碰撞概率。由选择程序产生的模拟松弛过程经分析证明与 Haas 等人的程序等效。 [“直接模拟蒙特卡罗方法中的热弛豫率”,Phys。 Fluids 6, 2191-2201 (1994)] 和 Gimelshein 等人的修改程序。 [“直接模拟蒙特卡罗方法中的振动弛豫率”,Phys。流体 14, 4452-4455 (2002)]。讨论了每个过程的实现和计算效率。与使用 Jeans 方程的解析解相比,所提出的选择程序经过验证,可以通过等温弛豫模拟准确模拟气体混合物的旋转和振动过程。 C 2013 AIP 出版有限责任公司。[http://dx.doi.org/10.1063/1.4825340]
A modification to existing phenomenological inelastic collision selection procedures suitableformodeling theinternalenergy exchange processesofgasmixturesindirect simulation Monte Carlo calculations is presented. The selection procedure does not depend on the relative order of rotational and vibrational relaxation processes and does not require the solution of a quadratic equation for every collision to determine the inelastic collision probability. The simulated relaxation process resulting from the selection procedure is analytically proven to be equivalent to the procedures of Haas et al. [“Rates of thermal relaxation in direct simulation Monte Carlo methods,” Phys. Fluids 6, 2191‐2201 (1994)] and the modified procedure of Gimelshein et al. [“Vibrational relaxation rates in the direct simulation Monte Carlo method,” Phys. Fluids 14, 4452‐4455 (2002)]. The implementation and computational efficiency of each of the procedures are discussed. The proposed selection procedure is verified to accurately simulate rotational and vibrational processes for gas mixtures through isothermal relaxation simulations compared with analytical solutions using the Jeans equation. C 2013 AIP Publishing LLC .[ http://dx.doi.org/10.1063/1.4825340]