Partial moment entropy approximation to radiative heat transfer

We extend the half moment entropy closure for the radiative heat transfer equations presented in [J. Comput. Phys. 180 (2002) 584] and [J. Comput. Phys. 198 (2004) 363] to multi-D. To that end we consider a partial moment system with general partitions of the unit sphere closed by an entropy minimization principle. We give physical and mathematical reasons for this choice of model and study its properties. Several numerical examples in different physical regimes are presented. Finally, we apply our model to the tophat benchmark problem [9].