English
Coupling models instead of coupling codes: two toy examples
Multi angle
Auteurs : Lafitte, Olivier (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
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Résumé :
Coupling models or coupling codes: two examples where the coupled model has better properties than each model.
In a simple setting (1d in space), a model of porous media (which is characterized by a degenerate parabolic equation) is coupled with the behavior of the medium, the resulting system is a non degenerate heat equation.
Similarly, the diffusion equation of neutronics, which coefficients depend on the local temperature of the nuclear core, is (classically) an eigenvalue problem, with infinitely many eigenvalues. Coupled with the equation for the local temperature yields a unique solution.
Codes MSC : In a simple setting (1d in space), a model of porous media (which is characterized by a degenerate parabolic equation) is coupled with the behavior of the medium, the resulting system is a non degenerate heat equation.
Similarly, the diffusion equation of neutronics, which coefficients depend on the local temperature of the nuclear core, is (classically) an eigenvalue problem, with infinitely many eigenvalues. Coupled with the equation for the local temperature yields a unique solution.
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 16/08/2021 Date de captation : 27/07/2021 Sous collection : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Domaine : Analysis and its Applications ; Numerical Analysis & Scientific Computing ; Mathematics in Science & Technology Format : MP4 (.mp4) - HD Durée : 00:54:00 Audience : Researchers Download : https://videos.cirm-math.fr/2021-07-27-Lafitte.mp4 
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Informations sur la Rencontre
Nom de la rencontre : CEMRACS 2021: Data Assimilation and Model Reduction in High Dimensional Problems / CEMRACS 2021: Assimilation de données et réduction de modèle pour des problêmes en grande dimensionOrganisateurs de la rencontre : Ehrlacher, Virginie ; Lombardi, Damiano ; Mula Hernandez, Olga ; Nobile, Fabio ; Taddei, Tommaso Dates : 19/07/2021 - 20/08/2021 Année de la rencontre : 2021 URL Congrès : https://conferences.cirm-math.fr/2412.html
Données de citation
DOI : 10.24350/CIRM.V.19787903Citer cette vidéo: Lafitte, Olivier (2021). Coupling models instead of coupling codes: two toy examples. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19787903 URI : http://dx.doi.org/10.24350/CIRM.V.19787903 |
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