基于微分单元的圆柱内辐射导热耦合传热分析  

Analysis of Coupled Radiation and Conduction in Cylinder Based on Element Different Method

作　　者：李一帆 孙亚松 刘长号 赵家资 LI Yi-Fan;SUN Ya-Song;LIU Chang-Hao;ZHAO Jia-Zi(Basic Research Center,School of Power and Energy,Northwestern Polytechnical University,Xi’an 710072,China;Center of Computational Physics and Energy Science,Yangtze River Delta Research Institute of NPU,Northwestern Polytechnical University,Taicang,Jiangsu 215400,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]西北工业大学太仓长三角研究院,计算物理与能源科学中心,太仓215400

出　　处：《工程热物理学报》2021年第12期3222-3231,共10页Journal of Engineering Thermophysics

基　　金：国家自然科学基金资助项目(No.51976173,No.51976014)。

摘　　要：本文充分利用微分单元法不涉及积分、较为稳定、易于实施的特点,进行圆柱坐标系下辐射与导热耦合传热分析。在求解过程中,将热辐射的空间和角度耦合成三维计算域求解,实现空间和角度的高阶离散。针对具有强对流特性的辐射传递方程,采用一种迎风格式可有效抑制数值振荡,实现稳定计算。由于辐射边界条件与导热和对流边界条件不同,它是具有方向性的单向边界条件,且在边界处会存在强烈的间断性和奇异点。为了有效抑制间断并处理奇异点,本文提出双层间断节点方案。通过与文献中圆柱坐标系下辐射与导热耦合传热算例进行对比分析,发现微分单元模型在空间和角度方向上均能实现高分辨率刻画,获得较好的计算精度。In this paper,element different method,which is not involved integration,relatively stable and easy to implement,is developed to analyze coupled radiation and conduction in cylinder coordinate system.In the solving process,spatial and angular domains of thermal radiation are taken as three-dimensional problems,and are discretized by high order scheme.Because of the strong convection characteristic of radiative transfer equation,the upwind scheme is adopted to deal with the numerical oscillation and obtain stable calculation results.Different with conduction and convection boundary conditions,the radiation boundary condition is a unidirectional boundary condition with directional properties,and exists strong discontinuities and singularities at the boundary.To effectively suppress discontinuities and deal with singularities,this paper proposes a double-layer discontinuous node strategy.Several cases of coupled radiation and conduction in cylinder coordinate system are taken as examples to verify the performance of EDM.Compared with available results in the literature,EDM can achieve high-resolution characterization in both spatial domain and angular direction,and provide a good accuracy.

关 键 词：微分单元法 圆柱坐标系 迎风策略 双层间断节点 

分 类 号：TK123[动力工程及工程热物理—工程热物理]