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 SRAPN 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.
Financed by the National Centre for Research and Development under grant No. SP/I/1/77065/10 by the strategic scientific research and experimental development program:
SYNAT - “Interdisciplinary System for Interactive Scientific and Scientific-Technical Information”.