Some Numerical Results of the Albedo Problem in Spherical Geometry with Linearly Anisotropic Scattering

We examine the effect of linear anisotropic scattering on the solution of spherical geometry transport problems. We consider the albedo problem of a solid homogeneous sphere with linearly anisotropic scattering and write two matrix equations to solve the albedo problem with the HN and SVD methods in pseudo slab geometry. These methods are based on Case method of singular eigenfunctions. The numerical results of both methods are in agreement with each other.

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Journal
Journal of Computational and Theoretical Transport
Published
2024-11-11
DOI
https://doi.org/10.1080/23324309.2024.2424184
Primary Topic
Numerical methods in inverse problems
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article
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article

Some Numerical Results of the Albedo Problem in Spherical Geometry with Linearly Anisotropic Scattering

D. C. Sahni, R. Gökhan Türeci, A. Z. Bozkır
Journal of Computational and Theoretical Transport
Numerical methods in inverse problems
article

Some Numerical Results of the Albedo Problem in Spherical Geometry with Linearly Anisotropic Scattering

D. C. Sahni, R. Gökhan Türeci, A. Z. Bozkır
article en

Abstract

We examine the effect of linear anisotropic scattering on the solution of spherical geometry transport problems. We consider the albedo problem of a solid homogeneous sphere with linearly anisotropic scattering and write two matrix equations to solve the albedo problem with the HN and SVD methods in pseudo slab geometry. These methods are based on Case method of singular eigenfunctions. The numerical results of both methods are in agreement with each other.

Journal of Computational and Theoretical TransportVol. 54(2)
Terna Dental College and Hospital (IN), Terna (Italy) (IT), Kırıkkale University (TR)
Climate action
Openalex Percentile: Top 67%
Numerical methods in inverse problems
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Some Numerical Results of the Albedo Problem in Spherical Geometry with Linearly Anisotropic Scattering — D. C. Sahni, R. Gökhan Türeci, et al. · Journal of Computational and Theoretical Transport (2024) | TGRS Research Map | TGRS