A Consistent Interpolation Function for the Solution of Radiative Transfer on Triangular Meshes, II—Validation

Abstract

This article presents selected problems used to assess the validity and usefulness of a first-order skew, positive coefficient, upwind scheme (SPCUS) applied to radiative transfer. This particular procedure could be incorporated in several discretization methods such as finite-volume, finite-element, or control-volume finite-element methods for the prediction of radiative transfer in participating media. The suggested scheme has been validated by application to several basic two-dimensional test problems, acknowledged by the radiative heat transfer community, and its performance has proven to be good.

The authors acknowledge Rodolphe Vaillon (CNRS researcher, CETHIL, INSA de Lyon) and Guillaume Gautier (CSN) for their collaboration during this work. The authors are also grateful to the Natural Sciences and Engineering Research Council of Canada (NSERC). Thanks go to Alan Wright for helping in the preparation of this manuscript.