Radiative heat transfer in periodic geometries using a finite volume scheme

A procedure for computing radiative heat transfer in translationally and ro tationally periodic geometries is presented. The finite volume scheme is ap plied to meshes composed of arbitrary polyhedral control volumes. The angul ar domain is discretized into a finite number of control angles over which radiant energy is conserved. At periodic boundaries, control angle overhang occurs because of the misalignment of the arbitrary periodic face with the global angular discretization and due to the arbitrary rotation of adjacen t modules with respect to each other. A discretization scheme using control angle pixelation is developed to conservatively transfer radiant energy be tween adjacent modules. The method is tested for a variety of radiation pro blems and shown to perform satisfactorily.