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

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

Research output: Contribution to journalArticlepeer-review

54 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 languageEnglish
Pages (from-to)648-669
Number of pages22
JournalJournal of Computational Physics
Volume242
DOIs
Publication statusPublished - 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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