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 dimension

Collection 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 dimension

Organizer(s) Ehrlacher, Virginie ; Lombardi, Damiano ; Mula Hernandez, Olga ; Nobile, Fabio ; Taddei, Tommaso
Date(s) 19/07/2021 - 23/07/2021
linked URL https://conferences.cirm-math.fr/2412.html
00:00:00 / 00:00:00
6 9

Coupling models instead of coupling codes: two toy examples

By Olivier Lafitte

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.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.19787903
  • Cite this video Lafitte, Olivier (27/07/2021). Coupling models instead of coupling codes: two toy examples. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19787903
  • URL https://dx.doi.org/10.24350/CIRM.V.19787903

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