Ofstie, Tyson et Nadarajah, Siva. 2025. « Entropy stable Galerkin projection reduced order model for the discontinuous Galerkin method ». Communication lors de la conférence : CSME-CFDSC-CSR 2025 International Congress (Montreal, QC, Canada, May 25-28, 2025).
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Résumé
Reduced order models are desired due to the fewer number of variables required to solve for a full order solution. This theoretically reduces the number of computations required to achieve similar results. A projection based model assumes that the solution lies on a lower order subspace. Two approaches, the Galerkin or Petrov-Galerkin, are commonly used due to their simplicity. These methods can be modified to prove the conservation of a conservative quantity (Kalashnikova et al., 2013), however they are not guaranteed to be stable. Yet projection based models have been altered to be stable (Carlberg, 2017) by choosing parameters carefully.Entropy-stable Galerkin reduced-order models have been developed for finite volume methods (Chan, 2020). This approach is then expanded to a discontinuous Galerkin (DG) model. The model adjusts the typical entropy conservative DG projection operator to account for the projection into the reduced-order space. This method also works with flux reconstruction schemes. To further reduce the size of the problem, a hyper-reduction using an empirical cubature for point selection and weighting. Results are shown for test cases for the Euler equations in multiple dimensions that display that the convective entropy is stable.
| Type de document: | Communication (Communication) |
|---|---|
| Informations complémentaires: | Progress in Canadian Mechanical Engineering, Volume 8. Co-chairs: Lucas A. Hof, Giuseppe Di Labbio, Antoine Tahan, Marlène Sanjosé, Sébastien Lalonde and Nicole R. Demarquette. |
| Date de dépôt: | 18 déc. 2025 14:27 |
| Dernière modification: | 18 déc. 2025 14:27 |
| URI: | https://espace2.etsmtl.ca/id/eprint/32055 |
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