| 离散统一气体动理学格式稳态辐射输运应用 |
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| 作者姓名： | 张华波 周瑞睿 李思达 孙亚松 |
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| 作者单位： | 1.西北工业大学动力与能源学院, 陕西西安 710129 |
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| 基金项目： | 国家自然科学基金51976173国家自然科学基金51976014上海市青年科技英才扬帆计划21YF1430400江苏省自然科学基金BK20201204 |
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| 摘 要： | 工程应用中的介质热辐射问题是典型的多尺度问题. 基于Boltzmann输运方程建立的各类气体动理学格式, 在多尺度瞬态问题中得到了广泛应用. 为了克服显式求解方案中CFL条件等的限制, 文章通过气体动理学格式实现稳态辐射输运方程的直接求解. SDUGKS格式由离散统一气体动理学格式(discrete unified gas kinetic scheme, DUGKS)的核心思想发展而来, 应用于稳态问题计算. 将SDUGKS格式进一步拓展到多尺度的稳态热辐射输运计算. SDUGKS格式继承了DUGKS格式沿特征线离散实现的界面重构, 并通过隐式增量格式的单元更新实现对辐射强度的较正, 采用逐次迭代法将辐射强度渐近收敛到稳定值. 选用多组一维和二维不同尺度的辐射传热算例, 通过与特定的解析解以及其他数值方法结果对比, 检验了SDUGKS的计算精度和计算效率, 并论证了它在多尺度问题中的渐进保持性质.
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| 关 键 词： | 热辐射 离散统一气体动理学格式 稳态 多尺度 渐进保持 |
| 收稿时间： | 2021-07-15 |
Application of Discrete Unified Gas Kinetic Scheme in Steady-State Radiation Heat Transfer |
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| Authors: | ZHANG Hua-bo ZHOU Rui-rui LI Si-da SUN Ya-song |
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| Affiliation: | 1.School of Power and Energy, Northwestern Polytechnical University, Xi'an 710129, China2.School of Energy and Power Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China3.Yangtze River Delta Research Institute of NPU, Taicang 215400, China |
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| Abstract: | The thermal radiation problem within medium in engineering applications is a typical multiscale problem. Various gas kinetic schemes based on the Boltzmann transport equation have been widely used in the multiscale transient problems. In order to overcome the limitations of CFL conditions in the explicit solution, this article aims to solve the steady-state radiation transport equation through the gas kinetic scheme directly. The SDUGKS, which is developed from the core idea of discrete unified gas kinetic scheme(DUGKS) and applied to the calculation of steady-state problems, will be further extended to the calculation of multiscale steady-state heat radiation transport. The SDUGKS inherits the interface reconstruction implemented by the DUGKS along the characteristic line discretely, and realizes the correction of the radiation intensity through the unit update of implicit delta formulation. The radiation intensity asymptotically converges to the stable value by successive iteration methods. Several one-dimensional and two-dimensional thermal radiation problems were adopted. Compared with analytical solutions of special cases and available results by other numerical methods, the computational accuracy and efficiency of SDUGKS were tested, and its asymptotic preservation within multiscale condition was demonstrated. |
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