Proper modeling of radiative heat transfer is essential to the accurate prediction of thermal characteristics of many high temperature engineering systems. Various models have been suggested and one of the most promising ones is the discrete ordinates method.
The second-order discrete ordinates method which has been reformulated from the conventional discrete ordinates ($S_N$) method is applied to radiative heat transfer in several two-dimensional enclosures (such as square, quadrilateral and J-shaped enclosures) containing gray absorbing/emitting and nonscattering media of prescribed temperature with non-orthogonal computational grids.
Discretization equations were obtained using a control-line approach with the cubic interpolation method, and the results were compared with the exact solutions.
The results of this work indicate that the second-order discrete ordinates method gives good accuracy in the prediction of radiative heat transfer.
