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Recent work by McClarren & Hauck [29] suggests that the filtered sphericalharmonics method represents an efficient, robust, and accurate method forradiation transport, at least in the two-dimensional (2D) case. We extend theirwork to the three-dimensional (3D) case and find that all of the advantages ofthe filtering approach identified in 2D are present also in the 3D case. Wereformulate the filter operation in a way that is independent of the timestepand of the spatial discretization. We also explore different second- andfourth-order filters and find that the second-order ones yield significantlybetter results. Overall, our findings suggest that the filtered sphericalharmonics approach represents a very promising method for 3D radiationtransport calculations.

A New Spherical Harmonics Scheme for Multi-Dimensional Radiation Transport I: Static Matter Configurations