Mixed singular-regular boundary conditions in multislab radiation transport

DOI10.1016/j.jcp.2003.11.023zbMath1052.65121OpenAlexW2072385597MaRDI QIDQ598134

Marcos Pimenta de Abreu

Publication date: 6 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.11.023

zbMATH Keywords

numerical examplesradiative transferneutron transportDiscrete ordinatesMixed beamsMultislab problemsRadiation transportspherical harmonics approximation

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70)

Related Items

On the Generalization of the Response Matrix Spectral Nodal Method for Neutral Particle S_N Source–Detector Problems in Slab Geometry ⋮ Shifting Strategy in the Spectral Analysis for the Spectral Green’s Function Nodal Method for Slab-Geometry Adjoint Transport Problems in the Discrete Ordinates Formulation ⋮ On the dependence of discrete ordinates models for layer reflectance and transmittance on relative optical depth and solar zenith angle ⋮ Diffuse conditions for efficient solution of multislab radiation transport problems ⋮ An Adjoint Technique Applied to Slab-Geometry Source-Detector Problems Using the Generalized Spectral Green’s Function Nodal Method

Uses Software

• EISPACK
• LINPACK

Cites Work

• Matrix eigensystem routines - EISPACK guide. 2nd ed
• Benchmark results in radiative transfer
• A numerical method for multigroup slab-geometry discrete ordinates problems with no spatial truncation error
• A numerical method for multigroup slab-geometry eigenvalue problems in transport theory with no spatial truncation error
• Boundary-value problems in the kinetic theory of gases. Part 2. Thermal creep
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item