A method to solve the radiative transfer equation (RTE) for absorbing-emitting and/or scattering media for 2-D and axisymmetric geometries using a general 3-D solver with a special treatment of the boundary condition in the third direction is presented. It allows a choice of first- or second- order schemes and can be used with non-orthogonal hexahedral grids for complex domains. Two-dimensional or axisymmetric problems are treated as different special cases of a three-dimensional problem. The method is tested on axisymmetric problems with absorbing-emitting and/or scattering media and on a 2D planar problem with a transparent medium and validated by comparisons with benchmark solutions.
A Methodology to Solve 2D and Axisymmetric Radiative Transfer Problems Using a General 3D Solver
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received January 26, 2008; final manuscript received October 3, 2008; published online September 27, 2013. Assoc. Editor: Ofodike A. Ezekoye.
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Kumar, P., and Eswaran, V. (September 27, 2013). "A Methodology to Solve 2D and Axisymmetric Radiative Transfer Problems Using a General 3D Solver." ASME. J. Heat Transfer. December 2013; 135(12): 124501. https://doi.org/10.1115/1.4024674
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