Meshless method for solving radiative transfer problems in complex two-dimensional and three-dimensional geometries

TL;DR

This paper introduces a meshless numerical method for solving radiative transfer equations in complex 2D and 3D geometries, aiming to improve computational flexibility and accuracy.

Contribution

The paper presents a novel meshless approach for radiative transfer problems in complex geometries, expanding the applicability of discrete ordinates methods.

Findings

Results agree with reference solutions, validating the method.

The method effectively handles complex geometries without meshing.

Potential for improved computational efficiency in radiative transfer simulations.

Abstract

A meshless method is presented to solve the radiative transfer equation in the even parity formulation of the discrete ordinates method in complex 2D and 3D geometries. Prediction results of radiative heat transfer problems obtained by the proposed method are compared with reference in order to assess the correctness of the present method.