Predicting continuum breakdown with deep neural networks

doi:10.1016/j.jcp.2023.112278

	Predicting continuum breakdown with deep neural networks
	Xiao TB(肖天白); Schotthoefer, Steffen ; Frank, Martin
发表期刊	JOURNAL OF COMPUTATIONAL PHYSICS
	2023-09-15
卷号	489 页码:112278
ISSN	0021-9991
摘要	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.
关键词	Computational fluid dynamics Kinetic theory Boltzmann equation Multi-scale method Deep learning
DOI	10.1016/j.jcp.2023.112278
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:001032966700001
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
论文分区	一类/力学重要期刊
力学所作者排名	1
RpAuthor	Xiao, TB (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab High Temp Gas Dynam, Beijing, Peoples R China.
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/92555
专题	高温气体动力学国家重点实验室
作者单位	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
推荐引用方式 GB/T 7714	Xiao TB,Schotthoefer, Steffen,Frank, Martin. Predicting continuum breakdown with deep neural networks[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2023,489:112278.
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.

条目包含的文件		下载所有文件
文件名称/大小	文献类型	版本类型	开放类型	使用许可
Jp2023A226.pdf（3004KB）	期刊论文	出版稿	开放获取	CC BY-NC-SA	浏览下载