Stratified radiative transfer for multidimensional fluids
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 su...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2022-12-01
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| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.136/ |
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| _version_ | 1825206048790675456 |
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| author | Golse, François Pironneau, Olivier |
| author_facet | Golse, François Pironneau, Olivier |
| author_sort | Golse, François |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-ef816a08dc4e4073ad7a12227053ba2f |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2022-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-ef816a08dc4e4073ad7a12227053ba2f2025-02-07T13:45:36ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342022-12-01350S117118510.5802/crmeca.13610.5802/crmeca.136Stratified radiative transfer for multidimensional fluidsGolse, François0Pironneau, Olivier1CMLS, Ecole polytechnique, 91128 Palaiseau Cedex, FranceLJLL, Boite 187, Sorbonne Université, 75005 Paris, FranceNew 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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.136/Radiative transferNavier–Stokes equationsIntegral equationsNumerical methodConvergenceClimate |
| spellingShingle | Golse, François Pironneau, Olivier Stratified radiative transfer for multidimensional fluids Comptes Rendus. Mécanique Radiative transfer Navier–Stokes equations Integral equations Numerical method Convergence Climate |
| title | Stratified radiative transfer for multidimensional fluids |
| title_full | Stratified radiative transfer for multidimensional fluids |
| title_fullStr | Stratified radiative transfer for multidimensional fluids |
| title_full_unstemmed | Stratified radiative transfer for multidimensional fluids |
| title_short | Stratified radiative transfer for multidimensional fluids |
| title_sort | stratified radiative transfer for multidimensional fluids |
| topic | Radiative transfer Navier–Stokes equations Integral equations Numerical method Convergence Climate |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.136/ |
| work_keys_str_mv | AT golsefrancois stratifiedradiativetransferformultidimensionalfluids AT pironneauolivier stratifiedradiativetransferformultidimensionalfluids |