Radiative heat transfer in axisymmetric geometries using an unstructured finite-volume method

The finite-volume method is extended to compute radiation in axisymmetric geometries using unstructured polyhedral meshes. Control angle overhangs, resulting from the nonalignment of the angular discretization with cell faces, are accounted for in the differencing. Conservative discretization of the angular redistribution term is proposed, and allows the solution of axisymmetric problems on the same two-dimensional mesh as the fluid flow. The method is shown to be equivalent to the mapping procedure of Chui and Raithby. The scheme is applied to a number of benchmark problems and is shown to perform satisfactorily.