Chebyshev collocation spectral method for solving radiative transfer with the modified discrete ordinates formulations
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论文类型：期刊论文
发表时间：2015-09-01
发表刊物：INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
收录刊物：SCIE、EI、Scopus
卷号：88
页面范围：388-397
ISSN号：0017-9310
关键字：Radiative transfer equation; Collocation spectral method; Modified discrete ordinates method; Ray effect; Domain decomposition
摘要：A Chebyshev collocation spectral method based on modified discrete ordinates method (SP-MDOM) is developed for radiative heat transfer problems to remedy the ray effect. The media analyzed are absorbing, emitting and isotropic or anisotropic scattering. The radiative transfer equation (RTE) is decomposed into two parts: the wall-related intensity and the medium-related intensity. The former is solved analytically. For the latter, the discrete ordinates method is used for angularly discretization with SRAP(N) quadrature scheme and then solved by Chebyshev collocation spectral method (CSM). In this study, the 2-D rectangular enclosures as well as the partitioned domain with different boundary conditions and optical parameters are considered. The domain decomposition concept is used along with the SP-MDOM to handle the radiative transfer in partitioned domain. The accuracy of the results obtained by the SP-MDOM is assessed by comparing the predictions with those obtained by other researchers. The results confirm the capability of the SP-MDOM to remedy the nonphysical anomalies caused by the ray effect. (C) 2015 Elsevier Ltd. All rights reserved.
发表时间：2015-09-01