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

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20670

Rezzolla,  Luciano
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons26091

Ott,  Christian D.
Stellar Astrophysics, MPI for Astrophysics, Max Planck Society;

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Fulltext (public)

1209.1634
(Preprint), 6MB

JoCP242_648.pdf
(Any fulltext), 3MB

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There is no public supplementary material available
Citation

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:http://dx.doi.org/10.1016/j.jcp.2013.01.048.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000E-EECD-1
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.