Application of the spectrally reduced integration method to solve radiative transfer in multidimensional non-homogeneous participating media

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-byline (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 onedimensional configurations - is also capable of producing benchmark solutions several times faster than the LBL method in more complex multidimensional problems.