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ABSTRACT
A two-dimensional scheme using the finite-volume method is proposed to solve the radiative transfer equation for axisymmetric radiative transfer. The directions of intensity are determined relative to Cartesian-based vectors. The final discretized equations are based on a two-dimensional mesh in the spatial domain, similar to meshes used for convective and conductive heat transfer in computational fluid dynamics analysis. The control-angle overlap problem caused by misalignment of solid angles with control-volume faces in the angular direction is eliminated in the current scheme. Error caused by the control-volume face curvature is also eliminated. A comparison study using demonstration cases with participating media in axisymmetrical cylindrical enclosures shows satisfactory results.
Financial support by the National Science Foundation and the Office of Naval Research are gratefully acknowledged. Discussion with Prof. Ping Cheng about Citation[16] is also gratefully appreciated.
