| 非规则形状介质内辐射-导热耦合传热的间断有限元求解 |
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| 引用本文： | 王存海,郑树,张欣欣.非规则形状介质内辐射-导热耦合传热的间断有限元求解[J].物理学报,2020(3):170-178. |
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| 作者姓名： | 王存海 郑树 张欣欣 |
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| 作者单位： | 北京科技大学能源与环境工程学院;冶金工业节能减排北京市重点实验室;华北电力大学能源动力与机械工程学院 |
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| 基金项目： | 国家自然科学基金(批准号:51906014,51976057,51890891);中国博士后科学基金(批准号:2018M641196);中央高校基本科研业务费专项资金(批准号:FRF-TP-18-072A1)资助的课题~~ |
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| 摘 要： | 采用间断有限元法(discontinuous finite element method,DFEM)求解非规则形状介质内的辐射导热耦合传热问题,得到了典型非规则形状介质内辐射导热耦合传热问题的高精度数值结果.和传统连续型有限元方法不同,DFEM将计算区域划分成相互独立的离散单元,形函数的构造、未知量的加权近似以及控制方程的求解均在每一个离散单元上进行.通过在单元之间施加迎风格式的数值通量,DFEM保证了整个计算区域的连续性,因此这种方法兼具良好的几何灵活性和局部守恒性.推导了辐射传输方程和能量扩散方程的射导热耦合传热问题,得到了典型非规则形状介质内辐射导热耦合传热的高精度数值结果.
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| 关 键 词： | 辐射导热 耦合传热 数值模拟 间断有限元 |
Discontinuous finite element solutions for coupled radiationconduction heat transfer in irregular media |
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| Wang Cun-Hai,Zheng Shu,Zhang Xin-Xin.Discontinuous finite element solutions for coupled radiationconduction heat transfer in irregular media[J].Acta Physica Sinica,2020(3):170-178. |
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| Authors: | Wang Cun-Hai Zheng Shu Zhang Xin-Xin |
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| Affiliation: | (School of Energy and Environmental Engineering,University of Science and Technology Beijing,Beijing 100083,China;Beijing Key Laboratory of Energy Conservation and Emission Reduction for Metallurgical Industry,Beijing 100083,China;School of Energy,Power and Mechanical Engineering,North China Electric Power University,Beijing 102206,China) |
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| Abstract: | The discontinuous finite element method(DFEM)is used to investigate the coupled radiation-conduction heat transfer in an irregular medium,and the highly accurate solutions for several typical media are numerically obtained.Comparing with the traditional continuous finite element method,the computational domain in the DFEM application is discretized into unstructured meshes that are assumed to be separated from each other.The shape function construction,field variable approximation,and numerical solutions are obtained for every single element.The continuity of the computational domain is maintained by modeling a numerical flux with the up-winding scheme.Thus the DFEM has the salient feature of geometry flexibility and simultaneously supports locally conservative solutions.The DFEM discretization for the radiative transfer equation and the energy diffusion equation are first presented,and the accuracies of the DFEM for coupled radiation-conduction heat transfer problems are verified.Combined radiation-conduction heat transfer problems in several irregular media are afterward solved,and the highly accurate DFEM solutions are presented. |
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| Keywords: | radiation-conduction coupled heat transfer numerical simulation discontinuous finite element method |
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