A New Spherical Harmonics Scheme for Multi-Dimensional Radiation Transport I: Static Matter Configurations
Abstract
Recent work by McClarren & Hauck [29] suggests that the filtered spherical harmonics method represents an efficient, robust, and accurate method for radiation transport, at least in the two-dimensional (2D) case. We extend their work to the three-dimensional (3D) case and find that all of the advantages of the filtering approach identified in 2D are present also in the 3D case. We reformulate the filter operation in a way that is independent of the timestep and of the spatial discretization. We also explore different second- and fourth-order filters and find that the second-order ones yield significantly better results. Overall, our findings suggest that the filtered spherical harmonics approach represents a very promising method for 3D radiation transport calculations.
Keywords
Cite
@article{arxiv.1209.1634,
title = {A New Spherical Harmonics Scheme for Multi-Dimensional Radiation Transport I: Static Matter Configurations},
author = {David Radice and Ernazar Abdikamalov and Luciano Rezzolla and Christian D. Ott},
journal= {arXiv preprint arXiv:1209.1634},
year = {2013}
}
Comments
29 pages, 13 figures. Version matching the one in Journal of Computational Physics