Application of the Spectrally Reduced Integration Method to Solve Radiative Transfer in Multidimensional Non-Homogeneous Participating Media
Document Type
Article
Publication Date
8-2025
Publisher
Elsevier
Source Publication
Internal Communications in Heat and Mass Transfer
Source ISSN
0753-1933
Original Item ID
DOI: 10.1016/j.icheatmasstransfer.2025.109061
Abstract
In this study, the accuracy of the spectrally reduced integration (SRI) method was evaluated in multidimensional radiative transfer problems considering non-homogeneous participating media that replicate typical air- and oxy–fuel combustion scenarios. The SRI is a methodology capable of generating benchmark solutions for thermal radiative transfer in gas mixtures several times faster than the more commonly employed line-by-line (LBL) calculations. Even though it displayed promising results in previous studies, the SRI had yet to be tested in both two- and three-dimensional configurations. Thus, the methodology was extended here to multidimensional problems and its solutions were compared to the reference LBL method for six test cases that represent both air- and oxy–fuel applications. The results of this comparison showed that — for all the studied test cases — the average deviations between the SRI and the LBL were lower than 0.5%. Moreover, one of the core methodologies of the SRI was even more advantageous when dealing with three-dimensional configurations. Therefore, it was concluded that the SRI — similar to what was previously reported for one-dimensional configurations — is also capable of producing benchmark solutions several times faster than the LBL method in more complex multidimensional problems.
Recommended Citation
Coelho, Felipe R.; Fraga, Guilherme C.; Ziemniczak, Aline; Roy, Somesh P.; and França, Francis H.R., "Application of the Spectrally Reduced Integration Method to Solve Radiative Transfer in Multidimensional Non-Homogeneous Participating Media" (2025). Mechanical Engineering Faculty Research and Publications. 343.
https://epublications.marquette.edu/mechengin_fac/343
Comments
Internal Communications in Heat and Mass Transfer, Vol. 166 (August 2025): 109061.DOI.