配置点谱方法求解一维圆柱梯度折射率介质中的辐射传热

doi:10.19596/j.cnki.1001-246x.8028

计算物理 ›› 2020, Vol. 37 ›› Issue (3): 320-326.DOI: 10.19596/j.cnki.1001-246x.8028

配置点谱方法求解一维圆柱梯度折射率介质中的辐射传热

吴鸣¹, 周瑞睿², 李本文²

1. 武汉工程职业技术学院信息工程学院, 湖北武汉 430415;
2. 大连理工大学能源与动力学院, 辽宁大连 116024

收稿日期:2018-12-19 修回日期:2019-02-16 出版日期:2020-05-25 发布日期:2020-05-25
作者简介:吴鸣(1980-),女,讲师,E-mail:wmlhc0316@163.com
基金资助:
国家重点研发计划（2017YFB0603500）资助项目

Collocation Spectral Method for Radiative Heat Transfer in One-dimensional Cylindrical Medium with Graded Index

WU Ming¹, ZHOU Ruirui², LI Benwen²

1. College of Information Engineering, Wuhan Engineering Institute, Wuhan, Hubei 430415, China;
2. School of Energy&Power Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China

Received:2018-12-19 Revised:2019-02-16 Online:2020-05-25 Published:2020-05-25

摘要/Abstract

摘要： 发展一种配置点谱方法，计算包含半透明各向异性散射介质的圆柱系统中的辐射传热.介质具有梯度折射率，并且散射反照率随空间位置变化.通过与精确解或其他方法的结果对比，验证配置点谱方法的准确性.结果表明：配置点谱方法仅采用少量的节点数就可以得到准确的辐射热流量.

关键词: Chebyshev多项式, 谱方法, 辐射传递方程, 圆柱介质, 梯度折射率

Abstract: We develop a collocation spectral method (CSM) to address radiative transfer in a semitransparent anisotropic scattering cylindrical medium with graded index and space-dependent albedo. Accuracy and validity of the method is verified with exact solutions available in literature and other methods. CSM is found effective in obtaining radiative flux in graded index medium. And few nodes are enough to obtain accurate results.

Key words: Chebyshev polynomials, spectral method, radiative transfer equation, cylindrical medium, graded index

中图分类号:

TK124

吴鸣, 周瑞睿, 李本文. 配置点谱方法求解一维圆柱梯度折射率介质中的辐射传热[J]. 计算物理, 2020, 37(3): 320-326.

WU Ming, ZHOU Ruirui, LI Benwen. Collocation Spectral Method for Radiative Heat Transfer in One-dimensional Cylindrical Medium with Graded Index[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(3): 320-326.

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配置点谱方法求解一维圆柱梯度折射率介质中的辐射传热

Collocation Spectral Method for Radiative Heat Transfer in One-dimensional Cylindrical Medium with Graded Index

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