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ENCIT 2022

19th Brazilian Congress of Thermal Sciences and Engineering

New methodology for the spectrally reduced integration method based on the spectral radiative source term

Submission Author: Felipe Ramos Coelho , SP
Co-Authors: Felipe Ramos Coelho, Somesh Roy, Francis França
Presenter: Felipe Ramos Coelho

doi://10.26678/ABCM.ENCIT2022.CIT22-0649

 

Abstract

The spectrally reduced integration (SRI) is a recently developed methodology to generate highly accurate solutions for the radiative transfer equation (RTE) in participating gas mixtures. Recent studies have shown that the method is capable of obtaining benchmark levels of accuracy three to five times faster than line-by-line (LBL) solutions. The SRI solves the RTE using a non-uniform spectral mesh that employs higher levels of refinement only in the most important wavenumber regions for the radiative transfer. Therefore, the method is able to become considerably less computationally costly than the reference LBL while still retaining great levels of accuracy. In its original formulation, the non-uniform discretization schemes are generated based on quantities defined as the spectral contributions of the bands. The present work proposes a more simplified alternative methodology to generate SRI discretization schemes based on the maximum spectral radiative source term. Discretization schemes based on from this new methodology, the SRI-Sr, are developed and compared to the ones obtained through the original SRI methodology available in the literature for two different test cases that consider non-homogeneous gas mixtures of H2O and CO2. Results show that the SRI-Sr method is capable of ensuing highly accurate solutions - similar to the ones obtained by the standard SRI methodology. Moreover, the only instance where the SRI-Sr resulted in a more significant loss in performance, this was followed by a considerable increase in the solution speed. One of the key SRI methodologies to avoid the need of a pre-processed reference LBL solution was also tested along with the SRI-Sr, showing results as accurate as the ones from the original SRI solutions. Overall, it can be concluded that the SRI-Sr is competitive with the original SRI method, but further testing is recommended.

Keywords

Spectrally reduced integration, line-by-line, radiative transfer equation, Participating gas mixtures, Discretization Schemes

 

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