A new spherical harmonics scheme for multi-dimensional radiation transport I. Static matter configurations

作者：Radice David^*; Abdikamalov Ernazar; Rezzolla Luciano; Ott Christian D

来源：Journal of Computational Physics, 2013, 242: 648-669.

DOI：10.1016/j.jcp.2013.01.048

• Radiation transport
• P-N-method
• Asymptotic diffusion limit
• Discontinuous Galerkin

Recent work by McClarren and Hauck (2010) [31] 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.

• 出版日期2013-6-1