Approximating the \(M_2\) method by the extended quadrature method of moments for radiative transfer in slab geometry

DOI10.3934/krm.2016.9.237zbMath1333.78018OpenAlexW2326159504MaRDI QIDQ264432

Graham W. Alldredge, Ruo Li, Wei-Ming Li

Publication date: 31 March 2016

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2016.9.237

zbMATH Keywords

radiative transferminimum entropy principlemoment modelslab geometry

Mathematics Subject Classification ID

Transport processes in time-dependent statistical mechanics (82C70) Method of moments applied to problems in optics and electromagnetic theory (78M05)

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Uses Software

• HE-E1GODF

Cites Work

• Unnamed Item
• Radiation transport modeling using extended quadrature method of moments
• Adaptive change of basis in entropy-based moment closures for linear kinetic equations
• A realizability-preserving discontinuous Galerkin method for the \(M_1\) model of radiative transfer
• Moment closure hierarchies for kinetic theories.
• Optimization and large scale computation of an entropy-based moment closure
• An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions
• On solutions to the \(P_n\) equations for thermal radiative transfer
• High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif

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