Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 52, 2007 - Issue 8
396
Views
51
CrossRef citations to date
0
Altmetric
Original Articles

Application of the Lattice Boltzmann Method and the Discrete Ordinates Method for Solving Transient Conduction and Radiation Heat Transfer Problems

&
Pages 757-775 | Received 12 Jan 2007, Accepted 16 Feb 2007, Published online: 25 Oct 2007
 

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.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.