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

Zhang, Chuang1; Huberman, Samuel2; Song, Xinliang3; Zhao, Jin4; Chen, Songze5; Wu, Lei6

2023-12-15

10.1016/j.ijheatmasstransfer.2023.124715

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER   影响因子和分区

0017-9310

1879-2189

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.

Micro/nano scale heat conduction Phonon transport Boltzmann transport equation Synthetic iterative acceleration scheme Discrete ordinate method

SCI ; EI

英语

通讯

NSERC Discovery Grants Program[RGPIN-2021-02957] ; China Postdoctoral Science Foundation[2021M701565]

Thermodynamics ; Engineering ; Mechanics

Thermodynamics ; Engineering, Mechanical ; Mechanics

WOS:001084286500001

PERGAMON-ELSEVIER SCIENCE LTD

20233914782038

Boltzmann equation ; Distribution functions ; Energy harvesting ; Heat conduction ; Integral equations ; Iterative methods ; Phonons ; Thermal Engineering

Military Engineering:404.1 ; Energy Conversion Issues:525.5 ; Heat Transfer:641.2 ; Calculus:921.2 ; Numerical Methods:921.6 ; Statistical Methods:922 ; Probability Theory:922.1 ; Mechanics:931.1

ENGINEERING

2-s2.0-85171849766

Web of Science

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

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.

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.

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).