The radiative transfer model for the greenhouse effect

DOI10.1007/s40324-021-00265-yzbMath1498.35546OpenAlexW3196237648MaRDI QIDQ2089014

Olivier Pironneau, Claude Bardos

Publication date: 6 October 2022

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-021-00265-y

zbMATH Keywords

finite element methodradiative transferpartial differential equationsintegral methodnumerical analysisgreenhouse effect

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Meteorology and atmospheric physics (86A10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Computational methods for problems pertaining to geophysics (86-08) PDEs in connection with geophysics (35Q86) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Climate science and climate modeling (86A08)

Related Items (2)

Radiative transfer in a fluid ⋮ Radiative transfer for variable three-dimensional atmospheres

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mathematical geoscience
• The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
• Boundary layers and homogenization of transport processes
• Specular reflection treatment for the 3D radiative transfer equation solved with the discrete ordinates method
• Application of accretive operators theory to evolutive combined conduction, convection and radiation.
• Geometric correction for diffusive expansion of steady neutron transport equation
• Boundary layer of transport equation with in-flow boundary
• Application of Accretive Operators Theory to the Radiative Transfer Equations
• The rosseland approximation for the radiative transfer equations
• Diffusion Approximation and Computation of the Critical Size
• New development in freefem++
• Algorithm 832
• Problèmes aux limites pour les équations aux dérivées partielles du premier ordre à coefficients réels; théorèmes d'approximation; application à l'équation de transport

This page was built for publication: The radiative transfer model for the greenhouse effect