PRECONDITIONED BI-CONJUGATE GRADIENT METHOD FOR RADIATIVE TRANSFER IN SPHERICAL MEDIA

Journal Article · Sat Oct 10 00:00:00 EDT 2009 · Astrophysical Journal

DOI:https://doi.org/10.1088/0004-637X/704/1/661· OSTI ID:21367416

Anusha, L S; Nagendra, K N ^[1]; Paletou, F; Leger, L ^[2]

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1. Indian Institute of Astrophysics, Koramangala, Bangalore 560 034 (India)
2. Laboratoire d'Astrophysique de Toulouse-Tarbes, Universite de Toulouse, CNRS, 14 Ave. E. Belin, 31400 Toulouse (France)

A robust numerical method called the Preconditioned Bi-Conjugate Gradient (Pre-BiCG) method is proposed for the solution of the radiative transfer equation in spherical geometry. A variant of this method called Stabilized Preconditioned Bi-Conjugate Gradient (Pre-BiCG-STAB) is also presented. These are iterative methods based on the construction of a set of bi-orthogonal vectors. The application of the Pre-BiCG method in some benchmark tests shows that the method is quite versatile, and can handle difficult problems that may arise in astrophysical radiative transfer theory.

• OSTI ID: 21367416
• Journal Information: Astrophysical Journal, Vol. 704, Issue 1; Other Information: DOI: 10.1088/0004-637X/704/1/661; ISSN 0004-637X
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
ASTROPHYSICS
BENCHMARKS
EQUATIONS
ITERATIVE METHODS
MATHEMATICAL SOLUTIONS
RADIANT HEAT TRANSFER
SCATTERING
SPHERICAL CONFIGURATION
VECTORS
CALCULATION METHODS
CONFIGURATION
ENERGY TRANSFER
HEAT TRANSFER
PHYSICS
TENSORS