中文版 | English
Title

Acceleration strategy of source iteration method for the stationary phonon Boltzmann transport equation

Author
Corresponding AuthorWu, Lei
Publication Years
2023-12-15
DOI
Source Title
ISSN
0017-9310
EISSN
1879-2189
Volume217
Abstract
Mesoscopic numerical simulation has become an important tool in thermal management and energy harvesting at the micro/nano scale, where the Fourier's law failed. However, it is not easy to efficiently solve the phonon Boltzmann transport equation (BTE) from ballistic to diffusive limit. In order to accelerate convergence, an implicit synthetic iterative scheme is developed for the stationary phonon BTE, in which a macroscopic moment equation is invoked and solved iteratively coupled with the typical source iteration of the kinetic equation. Different from previous numerical interpolation, the phonon BTE is solved again at the cell interface along the group velocity direction within a certain length when reconstructing the interfacial phonon distribution function. Fourier stability analysis shows that the present method could converge faster than the source iteration method in the (near) diffusive regime. Numerical results prove that the present scheme can capture the ballistic-diffusive effects correctly and efficiently. The present acceleration framework could be a powerful tool for simulating practical thermal engineering problems in the future.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
Corresponding
Funding Project
NSERC Discovery Grants Program[RGPIN-2021-02957] ; China Postdoctoral Science Foundation[2021M701565]
WOS Research Area
Thermodynamics ; Engineering ; Mechanics
WOS Subject
Thermodynamics ; Engineering, Mechanical ; Mechanics
WOS Accession No
WOS:001084286500001
Publisher
ESI Research Field
ENGINEERING
Data Source
Web of Science
Citation statistics
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/582881
DepartmentDepartment of Mechanics and Aerospace Engineering
Affiliation
1.Hangzhou Dianzi Univ, Dept Phys, Hangzhou 310018, Peoples R China
2.McGill Univ, Dept Chem Engn, 845 Sherbrooke St W, Montreal, PQ, Canada
3.Huazhong Univ Sci & Technol, Sch Energy & Power Engn, State Key Lab Coal Combust, Wuhan 430074, Peoples R China
4.Capital Normal Univ, Acad Multidisciplinary Studies, Beijing, Peoples R China
5.TenFong Technol Co, 1001 Xueyuan Ave,Taoyuan St, Shenzhen, Peoples R China
6.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
Corresponding Author AffilicationDepartment of Mechanics and Aerospace Engineering
Recommended Citation
GB/T 7714
Zhang, Chuang,Huberman, Samuel,Song, Xinliang,et al. Acceleration strategy of source iteration method for the stationary phonon Boltzmann transport equation[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2023,217.
APA
Zhang, Chuang,Huberman, Samuel,Song, Xinliang,Zhao, Jin,Chen, Songze,&Wu, Lei.(2023).Acceleration strategy of source iteration method for the stationary phonon Boltzmann transport equation.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,217.
MLA
Zhang, Chuang,et al."Acceleration strategy of source iteration method for the stationary phonon Boltzmann transport equation".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 217(2023).
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