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First-Order and Second-Order Meshless Formulations of the Radiative Transfer Equation: A Comparative Study

In this article we compare the first- and second-order formulations of the radiative transfer equation (RTE) by using a diffuse approximation meshless (DAM) method. These formulations include the first-order radiative transfer equation (FORTE), the second-order radiative transfer equation (SORTE), and the even parity method. All of them are solved without upwinding treatment. In order to investigate the accuracy and cost, different radiative transfer problems in complex 2-D and 3-D geometries are considered. Prediction results obtained by the proposed methods are compared with other references in order to illustrate the performance of different formulations and of the meshless method.