| 角度-空间间断有限元的热辐射限制器 |
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| 引用本文： | 李思达,孙亚松,郑澳洲,马菁.角度-空间间断有限元的热辐射限制器[J].航空动力学报,2022,37(12):2865-2874. |
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| 作者姓名： | 李思达 孙亚松 郑澳洲 马菁 |
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| 作者单位： | 1.西北工业大学 动力与能源学院 基础研究中心，西安 710072 |
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| 基金项目： | 国家自然科学基金（51976173, 51976014）； 江苏省自然科学基金（BK20201204） |
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| 摘 要： | 由于航空发动机内高温热端部件是非规则形状的，其中的热辐射过程存在明显的间断遮蔽效应，如何实现该过程的精准模拟是一个挑战。采用间断有限元对辐射传递方程中角度和空间计算域进行离散，并基于分层限制的思想在角度和空间单元上引入巴斯-叶斯帕森限制器，对辐射强度数值解在角度和空间上的非物理振荡进行抑制。通过与文献中有限体积法和蒙特卡洛辐射模型的结果对比，证明了方法的有效性。此外，通过与辐射强度在角度上的解析解对比，验证了该限制器可以抑制辐射间断效应造成的数值振荡，消除辐射强度的非物理解。实现了任意空间位置上辐射强度在角度方向上的三维刻画。
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| 关 键 词： | 热辐射 间断遮蔽效应 间断伽辽金有限元 巴斯-叶斯帕森限制器 角度和空间单元 |
| 收稿时间： | 2021-07-14 |
Thermal radiation limiter based on angle-space discontinuous finite element |
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| Affiliation: | 1.Basic Research Center，School of Power and Energy，Northwestern Polytechnical University，Xi’an 710072，China2.Center of Computational Physics and Energy Science，Yangtze River Delta Research Institute，Northwestern Polytechnical University，Taicang Jiangsu 215400，China3.Key Laboratory of Shaanxi Province for Development and Application of New Transportation Energy，School of Automobile，Chang’an University，Xi’an 710064，China |
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| Abstract: | Due to the irregular shape of the high-temperature hot components in the aero-engine, the heat radiation process has obvious discontinuous and shielding effects, and how to achieve accurate simulation of this process is a challenge. Using discontinuous finite element to discretize the angle and space domain in the radiation transfer equation, and based on the hierarchical limiting strategy, the Barth-Jespersen limiter was introduced in the angle and space domain to suppress the non-physical oscillation of the radiation intensity numerical solution in the angle and space. By comparing with the results of the finite volume method and the Monte Carlo method in the literature, the validity of the method was proved. In addition, by comparing with the angular analytical solution of radiation intensity, it was verified that the limiter can effectively suppress the numerical oscillation caused by the radiation discontinuity effect, and can eliminate the nonphysical solution of radiation intensity. The three-dimensional characterization of the radiation intensity in the angular domain at any spatial position was realized. |
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