Multigroup half space moment approximations to the radiative heat transfer equations

DOI10.1016/j.jcp.2004.01.011zbMath1053.65101OpenAlexW2067828523MaRDI QIDQ1877119

Axel Klar, Martin Frank, Bruno Dubroca, Rodolphe Turpault

Publication date: 16 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.2004.01.011

zbMATH Keywords

numerical resultsMoment methodsEntropy minimizationHalf fluxesMultigroup equationsRadiative transfer equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05)

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Cites Work

• Unnamed Item
• Half-moment closure for radiative transfer equations
• On the number of moments in radiative transfer problems
• Moment closure hierarchies for kinetic theories.
• Construction of a multigroup M1 model for the radiative transfer equations
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• A thermodynamical approach to Eddington factors
• New Frequency-Averaged Approximations to the Equations of Radiative Heat Transfer
• A half space moment approximation to the radiative heat transfer equations
• Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif