Abstract
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.
Original language | English |
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Pages (from-to) | 648-669 |
Number of pages | 22 |
Journal | Journal of Computational Physics |
Volume | 242 |
DOIs | |
Publication status | Published - Jun 1 2013 |
Keywords
- Asymptotic diffusion limit
- Discontinuous Galerkin
- PN-method
- Radiation transport
ASJC Scopus subject areas
- Numerical Analysis
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics