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

Radice, D., Abdikamalov, E., Rezzolla, L., & Ott, C. D. (2013). A New Spherical Harmonics Scheme for Multi-Dimensional Radiation Transport I: Static Matter Configurations. Journal of Computational Physics, 242, 648-669. doi:10.1016/j.jcp.2013.01.048.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000E-EECD-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0004-48C5-D
Genre: Journal Article

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1209.1634 (Preprint), 6MB
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 Creators:
Radice, David1, Author
Abdikamalov, Ernazar, Author
Rezzolla, Luciano2, Author              
Ott, Christian D.3, Author              
Affiliations:
1AEI, ou_persistent22              
2Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013              
3Stellar Astrophysics, MPI for Astrophysics, Max Planck Society, ou_159882              

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Free keywords: Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,General Relativity and Quantum Cosmology, gr-qc, Physics, Computational Physics, physics.comp-ph
 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.

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 Dates: 2012-09-072013-01-272013
 Publication Status: Published in print
 Pages: 29 pages, 13 figures. Version matching the one to appear in Journal of Computational Physics
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1209.1634
DOI: 10.1016/j.jcp.2013.01.048
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Title: Journal of Computational Physics
Source Genre: Journal
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Publ. Info: Orlando, Fla. : Academic Press
Pages: - Volume / Issue: 242 Sequence Number: - Start / End Page: 648 - 669 Identifier: ISSN: 0021-9991
CoNE: /journals/resource/954922645031