迎风间断谱元法分析非均匀介质内热辐射  

Analysis of Thermal Radiative Heat Transfer in Inhomogeneous Medium by Upwind Discontinuous Spectral Element Method

作　　者：孙亚松 李新宇 李思达 张华波 马菁 SUN Yasong;LI Xinyu;LI Sida;ZHANG Huabo;MA Jing(Basic Research Center,School of Power and Energy,Northwestern Polytechnical University,Xi’an 710072,China;School of Automobile,Chang’an University,Xi’an 710064,China)

机构地区：[1]西北工业大学动力与能源学院基础研究中心,西安710072 [2]长安大学汽车学院机电与动力工程系,西安710064

出　　处：《工程热物理学报》2022年第6期1666-1674,共9页Journal of Engineering Thermophysics

基　　金：国家自然科学基金(No.51976173,No.51976014);陕西省重点研发计划(No.2018SR5013,No.2020GY-200,No.2018SF-387);江苏省自然科学基金资助项目(No.BK20201204);太仓市基础研究计划(No.TC2019JC01)。

摘　　要：非均匀介质内热辐射与均匀介质内热辐射相比存在差异,辐射传递方程也将变得复杂难以求解。在本工作中,以高效、快速获取多维非均匀介质内热辐射强度为目的,发展了迎风间断谱元法求解辐射传递方程。通过与文献结果对比,证明了该方法在求解非均匀介质内热辐射问题的可行性。此外,在求解过程中采用逐单元计算方案。与传统整体求解域组装方案相比,计算效率大大提升。对于光学厚度较小的算例,迎风间断谱元法与文献中基准解对比吻合较好,不存在数值振荡现象。此外,通过多组非均匀介质内辐射热平衡和辐射非热平衡算例,验证了该方法的准确性和有效性,并进一步分析了变折射率对热辐射的影响规律。The thermal radiation of the inhomogeneous medium is different from the uniform medium,and the radiation transfer equation is complex and challenging to solve.In this work,to efficiently and quickly obtain the radiative intensity in the multidimensional inhomogeneous medium,the radiation transfer equation is solved by the upwind discontinuous spectral element method(UDSEM).By comparing with the literature results,it is proved that the UDSEM is feasible to solve the thermal radiation problem within the inhomogeneous medium.In the solving processing,the calculating strategy of the element by element is adopted.Compared with the traditional calculating strategy of assembling the whole solution domain,the solution efficiency is greatly improved.For the case of small optical thickness,the numerical results by the UDSEM are in good agreement with the benchmark solutions in references,and no oscillation phenomenon exists.Otherwise,adopting several cases of thermal radiation equilibrium and non-thermal radiation equilibrium within the inhomogeneous medium,the accuracy and efficiency of UDSEM are approved.Furthermore,the effect of the variable refractive index on thermal radiation is analyzed.

关 键 词：高温热辐射 间断谱元法 迎风格式 非均匀介质 多维参与性介质 

分 类 号：TK124[动力工程及工程热物理—工程热物理]