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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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1209.1634 (Preprint), 6MB
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 Urheber:
Radice, David1, Autor
Abdikamalov, Ernazar, Autor
Rezzolla, Luciano2, Autor           
Ott, Christian D.3, Autor           
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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Schlagwörter: Astrophysics, High Energy Astrophysical Phenomena, astro-ph.HE,General Relativity and Quantum Cosmology, gr-qc, Physics, Computational Physics, physics.comp-ph
 Zusammenfassung: 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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 Datum: 2012-09-072013-01-272013
 Publikationsstatus: Erschienen
 Seiten: 29 pages, 13 figures. Version matching the one to appear in Journal of Computational Physics
 Ort, Verlag, Ausgabe: -
 Inhaltsverzeichnis: -
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 Identifikatoren: arXiv: 1209.1634
DOI: 10.1016/j.jcp.2013.01.048
 Art des Abschluß: -

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Titel: Journal of Computational Physics
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Orlando, Fla. : Academic Press
Seiten: - Band / Heft: 242 Artikelnummer: - Start- / Endseite: 648 - 669 Identifikator: ISSN: 0021-9991
CoNE: https://pure.mpg.de/cone/journals/resource/954922645031