Modified steady discrete unified gas kinetic scheme for multiscale radiative heat transfer

Song, Xinliang1; Zhang, Yue1; Zhou, Xiafeng3; Zhang, Chuang4; Guo, Zhaoli2

2023-04-01

10.1016/j.ijheatmasstransfer.2022.123799

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER   Impact Factor & Quartile

0017-9310

1879-2189

In this work, a steady discrete unified gas kinetic scheme (SDUGKS) is proposed to solve the steady ra-diative transfer equation (RTE), which is an improvement of the original SDUGKS [X. F. Zhou et al. , J. Comput. Phys. 423, 109767 (2020)]. The trapezoidal rule other than the rectangular rule used in the orig-inal SDUGKS is adopted in the proposed method in the reconstruction of energy flux across cell interface, just as the unsteady DUGKS. By this way, the length of the characteristic line of the modified SDUGKS establishes a relationship with the Courant-Friedrichs-Lewy (CFL) number in the transient DUGKS, which guarantees the accuracy of the modified SDUGKS. Furthermore, the length of the characteristic line is no longer limited by the extinction coefficient like in the original SDUGKS. As a result, the modified SDUGKS is more accurate than the original SDUGKS, and more efficient than the transient DUGKS for steady ra-diation problems. Furthermore, the smooth linear interpolation and the van Leer limiter are used for problems with smooth and discontinuous optical thicknesses, respectively. Several numerical tests with optical thickness varying from optical thin to thick are conducted to validate the present scheme. Nu-merical results demonstrate that the modified SDUGKS can serve as an effective tool in the study of multiscale steady radiative heat transfer in participating media.(c) 2022 Elsevier Ltd. All rights reserved.

Steady radiative heat transfer Steady discrete unified gas kinetic scheme Van leer limiter

SCI

English

Others

Fundamental Research Funds for the Central Universities[HUST: 2019kfyXMBZ040] ; National Natural Science Foundation of China["12005073","12002131"] ; China Postdoctoral Science Foundation[2021M701565]

Thermodynamics ; Engineering ; Mechanics

Thermodynamics ; Engineering, Mechanical ; Mechanics

WOS:000913687400001

PERGAMON-ELSEVIER SCIENCE LTD

ENGINEERING

2-s2.0-85145197214

Web of Science

1.Huazhong Univ Sci & Technol, Sch Energy & Power Engn, State Key Lab Coal Combust, Wuhan 430074, Peoples R China
2.Huazhong Univ Sci & Technol, Inst Interdisciplinary Res Math & Appl Sci, Wuhan 430074, Peoples R China
3.Huazhong Univ Sci & Technol, Sch Energy & Power Engn, Dept Nucl Engn & Technol, Wuhan 430074, Peoples R China
4.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China

Song, Xinliang,Zhang, Yue,Zhou, Xiafeng,et al. Modified steady discrete unified gas kinetic scheme for multiscale radiative heat transfer[J]. INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,2023,203.

Song, Xinliang,Zhang, Yue,Zhou, Xiafeng,Zhang, Chuang,&Guo, Zhaoli.(2023).Modified steady discrete unified gas kinetic scheme for multiscale radiative heat transfer.INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER,203.

Song, Xinliang,et al."Modified steady discrete unified gas kinetic scheme for multiscale radiative heat transfer".INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 203(2023).