Advancing radiative transfer analysis accuracy in complex geometries with UCWQ and innovative angular mesh

Area of Science:

• Computational physics and astrophysics
• Radiative heat transfer modeling

Background:

• Accurate computation of angular quadrature coefficients is crucial for astrophysical and industrial applications.
• Existing discrete ordinates methods (DOM) face challenges with computational inefficiency and accuracy loss in complex geometries.
• Prior work introduced Uniform Constant Weight Quadrature (UCWQ) to mitigate shadowing effects.

Purpose of the Study:

• To develop and validate an innovative Pyramidal Angular Mesh (PAM) for the UCWQ method.
• To enhance the accuracy and computational efficiency of radiative transfer simulations in complex geometries.
• To compare the performance of UCWQ with PAM against other methods like S_N, T_N, and Finite Volume Method (FVM).

Main Methods:

• Development of a novel Pyramidal Angular Mesh (PAM) design.
• Implementation of Uniform Constant Weight Quadrature (UCWQ) utilizing the PAM.
• Comparative analysis of UCWQ-PAM against established methods (S_N, T_N, FVM) using radiative transfer scenarios.

Main Results:

• The PAM design achieved a high R-squared value of 0.9965, indicating excellent statistical agreement and reliability.
• UCWQ with PAM demonstrated superior performance and accuracy compared to S_N, T_N, and FVM in complex geometrical configurations.
• The method effectively addresses shadowing, ray effects, and obstructions in radiative transfer simulations.

Conclusions:

• The Pyramidal Angular Mesh (PAM) integrated with Uniform Constant Weight Quadrature (UCWQ) offers a significant advancement for radiative transfer analysis.
• This versatile technique provides unlimited direction choices, enhancing its applicability in astrophysical systems and industrial furnace analysis.
• The findings validate the method's strengths in accurately simulating radiative heat transfer, especially in challenging, complex geometries.