Spatial discretizations for self-adjoint forms of the radiative transfer equations

DOI10.1016/j.jcp.2005.09.017zbMath1089.65139OpenAlexW2041411799MaRDI QIDQ2490270

B. Todd Adams, Todd J. Urbatsch, John M. McGhee, Taewan Noh, Jim E. Morel, Thomas M. Evans

Publication date: 28 April 2006

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2005.09.017

zbMATH Keywords

numerical examplesneutron transport equationFinite-elementstime-dependent radiative transferbackward-Euler differencingSelf-adjoint equationsThermal radiation transport

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Transport processes in time-dependent statistical mechanics (82C70) Nuclear reactor theory; neutron transport (82D75) Radiative transfer in astronomy and astrophysics (85A25)

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Cites Work

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• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• A solution of the neutron transport equation using spherical harmonics