[Transfert radiatif stratifié couplé aux equations de la mécanique des fluides]
Un nouveau résultat d’existence et d’unicité est donné pour le système formé par les équations du transfert radiatif couplées à l’équation de la température d’un fluide. Une méthode numérique convergente et monotone en découle. La technique est appliquée au calcul de la température du lac Leman ainsi qu’à la température de l’atmosphère terrestre pour étudier l’influence des gaz à effet de serre.
New mathematical and numerical results are given for the coupling of the temperature equation of a fluid with radiative transfer: existence and uniqueness and a convergent monotone numerical scheme. The technique is shown to be feasible for studying the temperature of the Lake Leman heated by the sun and for studying the effects of greenhouse gases on earth’s atmosphere.
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Mot clés : Transfert radiatif, Équations de Navier–Stokes, Équations intégrales, Méthode numérique, Convergence, Climat
CC-BY 4.0
@article{CRMECA_2022__350_S1_A12_0,
author = {Fran\c{c}ois Golse and Olivier Pironneau},
title = {Stratified radiative transfer for multidimensional fluids},
journal = {Comptes Rendus. M\'ecanique},
publisher = {Acad\'emie des sciences, Paris},
year = {2022},
doi = {10.5802/crmeca.136},
language = {en},
note = {Online first},
}
François Golse; Olivier Pironneau. Stratified radiative transfer for multidimensional fluids. Comptes Rendus. Mécanique, Online first (2022), pp. 1-15. doi : 10.5802/crmeca.136.
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