Formulation and testing of the FTn finite volume method for radiation in 3-D complex inhomogeneous participating media

In the present study, an original three-dimensional formulation of the FTn finite volume method based on the bounded high-resolution CLAM schema and using the blocked-off-region technique has been developed. Firstly, this model is applied for 3D inhomogeneous L-shaped absorbing/emitting and isotropically scattering media. Both isothermal medium and medium with internal uniform and non-uniform volumetric heat generation are considered. Secondly, the present FTn FVM results for 3D combustion chamber with five baffles are illustrated and discussed. All tests bring to the fore the advantages, in 3D problems, of the FTn FVM comparatively with the standard FVM especially for inhomogeneous media with discontinuous volumetric heat sources. However these benefits still quantitative and no qualitative discrepancy between the FTn FVM and the popular FVM results are registered.