Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 242, Issue -, Pages 648-669Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2013.01.048
Keywords
Radiation transport; P-N-method; Asymptotic diffusion limit; Discontinuous Galerkin
Funding
- NSF [AST-0855535, OCI-0905046]
- Sherman Fairchild Foundation
- Alfred P. Sloan Foundation
- DFG [SFB/Transregio 7]
- CompStar'' a Research Networking Programme of the European Science Foundation
- NSF MRI award [PHY-0960291]
- NSF XSEDE network [TG-PHY100033]
- Office of Science of the US Department of Energy [DE-AC03-76SF00098]
- Direct For Computer & Info Scie & Enginr
- Office of Advanced Cyberinfrastructure (OAC) [0905046] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [0960291] Funding Source: National Science Foundation
Ask authors/readers for more resources
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. (C) 2013 Elsevier Inc. All rights reserved.
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