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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:242

Article

Radice, David¹  Abdikamalov, Ernazar²  Rezzolla, Luciano^1,3  Ott, Christian D.² 

[1] Albert Einstein Inst, Max Planck Inst Gravitationsphys, Potsdam, Germany

[2] CALTECH, TAPIR, Pasadena, CA USA

[3] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA

关键词: Radiation transport;    P-N-method;    Asymptotic diffusion limit;    Discontinuous Galerkin;   

DOI  :  10.1016/j.jcp.2013.01.048

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free