A fast algorithm for radiative transport in isotropic media

Constructing efficient numerical solution methods for the equation of radiative transfer (ERT) remains as a challenging task in scientific computing despite of the tremendous development on the subject in recent years. We present in this work a simple fast computational algorithm for solving the ERT...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of computational physics Jg. 399; S. 108958
Hauptverfasser: Ren, Kui, Zhang, Rongting, Zhong, Yimin
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cambridge Elsevier Inc 15.12.2019
Elsevier Science Ltd
Schlagworte:
Algorithms
Computational physics
Computer simulation
Dependence
Diffusion approximation
Equation of radiative transfer
Fast algorithm
Isotropic media
Iterative methods
Kernel-independent fast multipole method
Low-rank approximation
Multipoles
Numerical analysis
Numerical methods
Radiative transfer
Transport equations
Volume integral equation
Volume integral equations
Diffusion approximation
Kernel-independent fast multipole method
Low-rank approximation
Fast algorithm
Equation of radiative transfer
Volume integral equation
ISSN:0021-9991, 1090-2716
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Constructing efficient numerical solution methods for the equation of radiative transfer (ERT) remains as a challenging task in scientific computing despite of the tremendous development on the subject in recent years. We present in this work a simple fast computational algorithm for solving the ERT in isotropic media. The algorithm we developed has two steps. In the first step, we solve a volume integral equation for the angularly-averaged ERT solution using iterative schemes such as the GMRES method. The computation in this step is accelerated with a fast multipole method (FMM). In the second step, we solve a scattering-free transport equation to recover the angular dependence of the ERT solution. The algorithm does not require the underlying medium be homogeneous. We present numerical simulations under various scenarios to demonstrate the performance of the proposed numerical algorithm for both homogeneous and heterogeneous media.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2019.108958