A new spherical harmonics scheme for multi-dimensional radiation transport I. Static matter configurations

David Radice; Ernazar Abdikamalov; Luciano Rezzolla; Christian D. Ott

doi:10.1016/j.jcp.2013.01.048

A new spherical harmonics scheme for multi-dimensional radiation transport I. Static matter configurations

David Radice, Ernazar Abdikamalov, Luciano Rezzolla, Christian D. Ott

Department of Physics

Research output: Contribution to journal › Article › peer-review

41 Citations (Scopus)

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
Pages (from-to)	648-669
Number of pages	22
Journal	Journal of Computational Physics
Volume	242
DOIs	https://doi.org/10.1016/j.jcp.2013.01.048
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

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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.",

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AU - Abdikamalov, Ernazar

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AU - Ott, Christian D.

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