On the validity of the Boltzmann-BGK model through relaxation evaluation | |
Sun QH(孙泉华); Cai CP; Gao W(高巍); Sun, QH (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. | |
发表期刊 | Acta Mechanica Sinica |
2014-04 | |
卷号 | 30期号:2页码:133-143 |
ISSN | 0567-7718 |
摘要 | The Boltzmann-Bhatnagar-Gross-Krook (BGK) model is investigated for its validity regarding the collision term approximation through relaxation evaluation. The evaluation is based on theoretical analysis and numerical comparison between the BGK and direct simulation Monte Carlo (DSMC) results for three specifically designed relaxation problems. In these problems, one or half component of the velocity distribution is characterized by another Maxwellian distribution with a different temperature. It is analyzed that the relaxation time in the BGK model is unequal to the molecular mean collision time. Relaxation of component distribution fails to involve enough contribution from other component distributions, which makes the BGK model unable to capture details of velocity distribution, especially when discontinuity exists in distribution. The BGK model, however, predicts satisfactory results including fluxes during relaxation when the temperature difference is small. Particularly, the model-induced error in the BGK model increases with the temperature difference, thus the model is more reliable for low-speed rarefied flows than for hypersonic flows. |
关键词 | Bgk Model Boltzmann Equation Validity Evaluation Dsmc Method Time Relaxation |
URL | 查看原文 |
收录类别 | SCI ; EI ; CSCD |
语种 | 英语 |
WOS记录号 | WOS:000334677600002 |
项目资助者 | The project was supported by the National Natural Science Foundation of China (91116013, 11372325, and 11111120080). |
课题组名称 | LHD微尺度和非平衡流动 |
论文分区 | 二类 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://dspace.imech.ac.cn/handle/311007/48847 |
专题 | 高温气体动力学国家重点实验室 |
通讯作者 | Sun, QH (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing 100190, Peoples R China. |
推荐引用方式 GB/T 7714 | Sun QH,Cai CP,Gao W,et al. On the validity of the Boltzmann-BGK model through relaxation evaluation[J]. Acta Mechanica Sinica,2014,30,2,:133-143. |
APA | Sun QH,Cai CP,Gao W,&Sun, QH .(2014).On the validity of the Boltzmann-BGK model through relaxation evaluation.Acta Mechanica Sinica,30(2),133-143. |
MLA | Sun QH,et al."On the validity of the Boltzmann-BGK model through relaxation evaluation".Acta Mechanica Sinica 30.2(2014):133-143. |
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