ArticleMethodsX2026
Advancing radiative transfer analysis accuracy in complex geometries with UCWQ and innovative angular mesh.
Article in MethodsX, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
Accurate representation of coordinates and the computation of the angular quadrature coefficients μ, ξ, and η in complex geometries are essential for advancing the understanding of astrophysical phenomena and various industrial applications. This paper builds upon prior work titled " Enhanced discrete ordinates approach for mitigating shadowing effects in obstructed gas-filled spaces: Implications for astrophysical and industrial applications", which introduced Uniform Constant Weight Quadrature (UCWQ) to address challenges associated with the discrete ordinates method (DOM). Specifically, this research tackles issues related to computational inefficiency and accuracy loss in complex radiative transfer scenarios. The innovative Pyramidal Angular Mesh (PAM) exhibits an R-squared value of 0.9965. This high statistical agreement directly translates to increased reliability and underscores the model's strengths in accurately simulating radiative heat transfer, particularly in complex geometrical configurations. A comparative analysis highlights UCWQ's superior performance with its PAM design over other quadrature methods, such as S
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