Solution of radiative heat transfer in 2-D geometries by a modified finite-volume method based on a cell vertex scheme using unstructured triangular meshes

A new finite-volume method (FVM) based on a cell vertex scheme and associated to a new modified exponential scheme in which temperature is approximated by linear interpolation using nodal values is proposed to solve the radiative transfer equation in gray absorbing media. The application of the FVM to unstructured triangular meshes is detailed and discussed. The developed code is validated with benchmark cases and applied to pure radiative problem. The approach shows very good performance for the wall heat transfer evaluation. The results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.