Author： Mondal Bittagopal Mishra Subhash
Publisher： Taylor & Francis Ltd
ISSN： 1521-0634
Source： Numerical Heat Transfer Part A: Applications, Vol.52, Iss.8, 2007-01, pp. : 757-775
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Abstract
This article deals with the use of the discrete ordinates method (DOM) to compute radiative information about an energy equation for a combined-mode heat transfer problem to be solved using the lattice Boltzmann method (LBM). For this study, transient conduction and radiation heat transfer in 1-D planar and 2-D rectangular geometries have been considered. To study the performance of the LBM-DOM combination, the energy equations of the two problems have also been solved using the finite-difference method (FDM) in which the radiative information has also been provided using the DOM. For the performance study of the two combinations of methods, i.e., the LBM-DOM and the FDM-DOM, results have been analyzed for the effects of various parameters such as the scattering albedo, the conduction-radiation parameter, and the boundary emissivity. The results of the LBM-DOM combination have been found to be in excellent agreement with the FDM-DOM combination. The numbers of iterations and CPU times in the two combination methods have been found to be comparable.
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