| Predicting continuum breakdown with deep neural networks | |
| Xiao TB(肖天白); Schotthoefer, Steffen; Frank, Martin | |
| Source Publication | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 2023-09-15 | |
| Volume | 489Pages:112278 |
| ISSN | 0021-9991 |
| Abstract | The multi-scale nature of gaseous flows poses tremendous difficulties for theoretical and numerical analysis. The Boltzmann equation, while possessing a wider applicability than hydrodynamic equations, requires significantly more computational resources due to the increased degrees of freedom in the model. The success of a hybrid fluid-kinetic flow solver for the study of multi-scale flows relies on accurate prediction of flow regimes. In this paper, we draw on binary classification in machine learning and propose the first neural network classifier to detect near-equilibrium and non-equilibrium flow regimes based on local flow conditions. Compared with classical semi-empirical criteria of continuum breakdown, the current method provides a data-driven alternative where the parameterized implicit function is trained by solutions of the Boltzmann equation. The ground-truth labels are derived rigorously from the deviation of particle distribution functions and the approximations based on the Chapman-Enskog ansatz. Therefore, no tunable parameter is needed in the criterion. Following the entropy closure of the Boltzmann moment system, a data generation strategy is developed to produce training and test sets. Numerical analysis shows its superiority over simulation-based samplings. A hybrid Boltzmann-Navier-Stokes flow solver is built correspondingly with an adaptive partition of local flow regimes. Numerical experiments including the one-dimensional Riemann problem, shear flow layer, and hypersonic flow around a circular cylinder are presented to validate the current scheme for simulating cross-scale and non-equilibrium flow physics. The quantitative comparison with a semi-empirical criterion and benchmark results demonstrates the capability of the current neural classifier to accurately predict continuum breakdown. The code for the data generator, hybrid solver, and neural network implementation is available in the open source repositories [1,2].& COPY; 2023 Elsevier Inc. All rights reserved. |
| Keyword | Computational fluid dynamics Kinetic theory Boltzmann equation Multi-scale method Deep learning |
| DOI | 10.1016/j.jcp.2023.112278 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:001032966700001 |
| WOS Research Area | Computer Science ; Physics |
| WOS Subject | Computer Science, Interdisciplinary Applications ; Physics, Mathematical |
| Classification | 一类/力学重要期刊 |
| Ranking | 1 |
| Contributor | Xiao, TB (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing, Peoples R China. |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/92555 |
| Collection | 高温气体动力学国家重点实验室 |
| Affiliation | 1.{Xiao, Tianbai} Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing, Peoples R China 2.{Schotthoefer, Steffen, Frank, Martin} Karlsruhe Inst Technol, Steinbuch Ctr Comp, Karlsruhe, Germany |
| Recommended Citation GB/T 7714 | Xiao TB,Schotthoefer, Steffen,Frank, Martin. Predicting continuum breakdown with deep neural networks[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2023,489:112278.Rp_Au:Xiao, TB (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing, Peoples R China. |
| APA | 肖天白,Schotthoefer, Steffen,&Frank, Martin.(2023).Predicting continuum breakdown with deep neural networks.JOURNAL OF COMPUTATIONAL PHYSICS,489,112278. |
| MLA | 肖天白,et al."Predicting continuum breakdown with deep neural networks".JOURNAL OF COMPUTATIONAL PHYSICS 489(2023):112278. |
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| File Name/Size | DocType | Version | Access | License | ||
| Jp2023A226.pdf（3004KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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