Accurate spherical harmonics solutions for neutron transport problems in multi-region spherical geometry

DOI10.1016/J.JCP.2020.109856OpenAlexW3087039205MaRDI QIDQ2123912

R. D. M. Garcia

Publication date: 14 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109856

zbMATH Keywords

spherical geometryneutron transportspherical harmonics method\(P_N\) methodmulti-region sphere

Mathematics Subject Classification ID

Partial differential equations (35-XX) Statistical mechanics, structure of matter (82-XX)

Uses Software

• LINPACK

Cites Work

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• Multislab multigroup transport theory with Lth order anisotropic scattering
• Thermal radiation from nonisothermal spherical particles of a semitransparent material
• Variance reduction method for particle transport equation in spherical geometry
• A numerically stable spherical harmonics solution for the neutron transport equation in a spherical shell
• On the P_N Method in Spherical Geometry: A Stable Solution for the Exterior of a Sphere
• Note on the Spherical Harmonic Method As Applied to the Milne Problem for a Sphere

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