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 | |
| Publication status | Published - Jun 1 2013 |
| Externally published | Yes |
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Keywords
- Asymptotic diffusion limit
- Discontinuous Galerkin
- PN-method
- Radiation transport
ASJC Scopus subject areas
- Computer Science Applications
- Physics and Astronomy (miscellaneous)
Cite this
A new spherical harmonics scheme for multi-dimensional radiation transport I. Static matter configurations. / Radice, David; Abdikamalov, Ernazar; Rezzolla, Luciano; Ott, Christian D.
In: Journal of Computational Physics, Vol. 242, 01.06.2013, p. 648-669.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - A new spherical harmonics scheme for multi-dimensional radiation transport I. Static matter configurations
AU - Radice, David
AU - Abdikamalov, Ernazar
AU - Rezzolla, Luciano
AU - Ott, Christian D.
PY - 2013/6/1
Y1 - 2013/6/1
N2 - 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.
AB - 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.
KW - Asymptotic diffusion limit
KW - Discontinuous Galerkin
KW - PN-method
KW - Radiation transport
UR - http://www.scopus.com/inward/record.url?scp=84875761872&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84875761872&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2013.01.048
DO - 10.1016/j.jcp.2013.01.048
M3 - Article
AN - SCOPUS:84875761872
VL - 242
SP - 648
EP - 669
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
ER -