| A gas-surface interaction algorithm for discrete velocity methods in predicting rarefied and multi-scale flows: For Maxwell boundary model | |
| Chen, Jianfeng; Liu, Sha; Wang Y(王勇); Zhuo, Congshan; Yang, Yanguang; Zhong, Chengwen | |
| Source Publication | COMPUTERS & MATHEMATICS WITH APPLICATIONS
 |
| 2024-12 | |
| Volume | 175Pages:570-601 |
| ISSN | 0898-1221 |
| Abstract | The discrete velocity method (DVM) for rarefied flows and the unified methods (based on the DVM framework) for flows in all regimes, from continuum one to free molecular one, have worked well as precise flow solvers over the past decades and have been successfully extended to other important physical fields. Both DVM and unified methods endeavor to model the gas-gas interaction physically. However, for the gas-surface interaction (GSI) at the wall boundary, they have only use the full accommodation boundary up to now, which can be viewed as a rough Maxwell boundary with a fixed accommodation coefficient (AC) at unity, deviating from the real value. For example, the AC for metal materials typically falls in the range of 0.8 to 0.9. To overcome this bottleneck and extend the DVM and unified methods to more physical boundary conditions, an algorithm for Maxwell boundary with an adjustable AC is established into the DVM framework. The Maxwell boundary model splits the distribution of the bounce-back molecules into specular ones and Maxwellian (normal) ones. Since the bounce-back molecules after the spectral reflection does not math with the discrete velocity space (DVS), both macroscopic conservation (from numerical quadrature) and microscopic consistency in the DVS are hard to achieve in the DVM framework. In this work, this problem is addressed by employing a combination of interpolation methods for mismatch points in DVS and an efficient numerical error correction method for micro-macro consistency. On the other hand, the current Maxwell boundary for DVM takes the generality into consideration, accommodating both the recently developed efficient unstructured velocity space and the traditional Cartesian velocity space. Moreover, the proposed algorithm allows for calculations of both monatomic gases and diatomic gases with internal degrees in DVS. Finally, by being integrated with the unified gas-kinetic scheme within the DVM framework, the performance of the present GSI algorithm is validated through a series of benchmark numerical tests across a wide range of Knudsen numbers. |
| Keyword | Discrete velocity method Unified method Multi-scale flows Gas-surface interaction Accommodation coefficient |
| DOI | 10.1016/j.camwa.2024.10.034 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001350588300001 |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| Funding Organization | National Natural Science Foundation of China {12172301, 12072283] ; The 111 Project of China {B17037] |
| Classification | 一类 |
| Ranking | 3+ |
| Contributor | Liu S |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/97209 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 1.【Chen, Jianfeng & Liu, Sha & Wang, Yong & Zhuo, Congshan & Zhong, Chengwen】 Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Shaanxi, Peoples R China 2.【Liu, Sha & Zhuo, Congshan & Zhong, Chengwen】 Northwestern Polytech Univ, Inst Extreme Mech, Xian 710072, Shaanxi, Peoples R China 3.【Zhuo, Congshan & Zhong, Chengwen】 Northwestern Polytech Univ, Natl Key Lab Aircraft Configurat Design, Xian 710072, Shaanxi, Peoples R China 4.【Wang, Yong】 Chinese Acad Sci, State Key Lab High Temp Gas Dynam, Inst Mech, Beijing 100190, Peoples R China 5.【Yang, Yanguang】 China Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China |
| Recommended Citation GB/T 7714 | Chen, Jianfeng,Liu, Sha,Wang Y,et al. A gas-surface interaction algorithm for discrete velocity methods in predicting rarefied and multi-scale flows: For Maxwell boundary model[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2024,175:570-601.Rp_Au:Liu S |
| APA | Chen, Jianfeng,Liu, Sha,王勇,Zhuo, Congshan,Yang, Yanguang,&Zhong, Chengwen.(2024).A gas-surface interaction algorithm for discrete velocity methods in predicting rarefied and multi-scale flows: For Maxwell boundary model.COMPUTERS & MATHEMATICS WITH APPLICATIONS,175,570-601. |
| MLA | Chen, Jianfeng,et al."A gas-surface interaction algorithm for discrete velocity methods in predicting rarefied and multi-scale flows: For Maxwell boundary model".COMPUTERS & MATHEMATICS WITH APPLICATIONS 175(2024):570-601. |
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