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Coupling models instead of coupling codes: two toy examples
Multi angle
Authors : Lafitte, Olivier (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 16/08/2021 Conference Date : 27/07/2021 Subseries : Research talks arXiv category : Analysis of PDEs ; Mathematical Physics Mathematical Area(s) : Analysis and its Applications ; Numerical Analysis & Scientific Computing ; Mathematics in Science & Technology Format : MP4 (.mp4) - HD Video Time : 00:54:00 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-07-27-Lafitte.mp4 
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Information on the Event
Event Title : 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 dimensionEvent Organizers : Ehrlacher, Virginie ; Lombardi, Damiano ; Mula Hernandez, Olga ; Nobile, Fabio ; Taddei, Tommaso Dates : 19/07/2021 - 20/08/2021 Event Year : 2021 Event URL : https://conferences.cirm-math.fr/2412.html
Citation Data
DOI : 10.24350/CIRM.V.19787903Cite this video as: 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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Bibliography
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