Element different method for three-dimensional radiative transfer within heterogeneous media

Abstract

The ability to accurately determine three-dimensional radiative intensity with high spatial and angular resolution is crucial for the diagnosis of radiative combustion. However, the non-uniform distribution of the refractive index causes the radiation energy to travel along curved paths, making the analysis of thermal radiation challenging. This paper uses the element differential method to calculate radiative heat transfer in a three-dimensional heterogeneous media. To address the numerical challenges of strong convection in the radiative transfer equation, an upwind scheme is adopted. The comparison with the results in the literature verifies the correctness and effectiveness of calculating heat radiation transfer based on the element differential method. A cell-by-cell strategy is used to improve computational efficiency and reduce the demand for computer resources. Compared with the overall strategy, the cell-by-cell strategy is proven effective in suppressing non-physical oscillations. Additionally, the method is extended to deal with the issue of intermittent refractive index and achieve a high-resolution description of the angular direction of radiative intensity.

Keywords

• Thermal radiation
• Heterogeneous media
• Element differential method
• Upwind scheme
• Cell-by-cell strategy