Radiative transfer in 3-D enclosure with inhomogeneous participating medium with unstructured FVM

Abstract

In the present study, an unstructured finite volume method for radiative transfer in 3-D enclosure with inhomegeneous participating medium is developed. That method is applicable for complex geometry enclosure. The computational domain is divided into many tetrahedral volume cells, which is easily applied into structured or unstructured. A general discretization equation based on step scheme for spatial differencing and azimuthal discretization in angular domain was derived. In order to validated the developed unstructured finite volume method, three test cases were chosen, including a cubic enclosure with absorbing-emitting medium, an equilateral triangular enclosure with absorbing-emitting medium, a 3D L-shaped enclosure with absorbing-emitting/scattering medium. All the solutions based on the present method have a good agreement with available other solutions. Then, one case with more complex geometry, a hollow cubic enclosure with absorbing-emitting and isotropic scattering medium, was investigated. The effects of scattering albedo on wall radiative flux, incident radiation and radiative flux divergence were analyzed. It was found that the developed model is reliable and accurate and suitable for radiative transfer in complex 3-D enclosure with inhomegeneous absorbing-emitting and scattering medium.12