RADIATIVE HEAT-TRANSFER IN AXISYMMETRICAL GEOMETRIES USING AN UNSTRUCTURED FINITE-VOLUME METHOD

The finite-volume method is extended to compute radiation in axisymmet ric geometries using unstructured polyhedral meshes. Control angle ove rhangs, resulting from the nonalignment of the angular discretization with cell faces, are accounted for in the differencing. Conservative d iscretization of the angular redistribution term is proposed, and allo ws the solution of axisymmetric problems on the same two-dimensional m esh as the fluid flow. The method is shown to be equivalent to the map ping procedure of Chui and Raithby. The scheme is applied to a number of benchmark problems and is shown to perform satisfactorily.