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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
引用本文: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. DOI: 10.19596/j.cnki.1001-246x.8028
作者姓名:吴鸣  周瑞睿  李本文
作者单位: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
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
收稿时间:2018-12-19
修稿时间:2019-02-16

Collocation Spectral Method for Radiative Heat Transfer in One-dimensional Cylindrical Medium with Graded Index
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. DOI: 10.19596/j.cnki.1001-246x.8028
Authors:WU Ming  ZHOU Ruirui  LI Benwen
Affiliation: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
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.
Keywords:Chebyshev polynomials  spectral method  radiative transfer equation  cylindrical medium  graded index  
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