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

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 threedimensional 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.

Automated summary

This paper uses the element differential method and an upwind scheme to accurately calculate three-dimensional radiative heat transfer in non-uniform media. The effectiveness and correctness of this method are verified through comparisons with results in the literature. A cell-by-cell strategy is employed to improve computational efficiency and suppress non-physical oscillations, and the method is extended to handle intermittent refractive index and achieve high-resolution description of radiative intensity in the angular direction.