A HIERARCHY OF APPROXIMATIONS TO THE RADIATIVE HEAT TRANSFER EQUATIONS: MODELLING, ANALYSIS AND SIMULATION

DOI10.1142/S0218202505000479zbMath1085.85002OpenAlexW2068264811MaRDI QIDQ5311621

René Pinnau, Martin Frank, Matthias Schäfer

Publication date: 23 August 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202505000479

zbMATH Keywords

moment methodshalf fluxesRadiative transfer equations

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Radiative transfer in astronomy and astrophysics (85A25)

Related Items (6)

Partial-moment minimum-entropy models for kinetic chemotaxis equations in one and two dimensions ⋮ Optimization and Inverse Problems in Radiative Heat Transfer ⋮ OPTIMAL TREATMENT PLANNING IN RADIOTHERAPY BASED ON BOLTZMANN TRANSPORT CALCULATIONS ⋮ Radiative Heat Transfer and Applications for Glass Production Processes ⋮ Entropy-based mixed three-moment description of fermionic radiation transport in slab and spherical geometries ⋮ First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: model derivation and realizability theory

Cites Work

• Efficient numerical methods for radiation in gas turbines
• On the number of moments in radiative transfer problems
• Simplified \(P_N\) approximations to the equations of radiative heat transfer and applications
• A thermodynamical approach to Eddington factors
• 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
• Approximate Integration of the Equation of Transger

This page was built for publication: A HIERARCHY OF APPROXIMATIONS TO THE RADIATIVE HEAT TRANSFER EQUATIONS: MODELLING, ANALYSIS AND SIMULATION