Model order reduction using a collocation scheme on chimera meshes: addressing the Kolmogorov N-width barrier - Inria - Institut national de recherche en sciences et technologies du numérique
Pré-Publication, Document De Travail (Preprint/Prepublication) Année : 2024

Model order reduction using a collocation scheme on chimera meshes: addressing the Kolmogorov N-width barrier

Résumé

In this paper, we propose a novel collocation-based Model Order Reduction (cMOR) strategy for solving parametric advection-diffusion PDEs on moving Chimera grids. Unlike traditional projection-based MOR, cMOR solves the High-Dimensional Model on a small subset of collocation points and extends the solution to the entire domain using a global reduced basis. By leveraging the ADER method on unsteady Chimera meshes, cMOR addresses the computational challenges posed by convection-dominated problems, particularly the Kolmogorov N-width barrier. Our results demonstrate the efficiency of cMOR in reducing the computational cost while maintaining accuracy.

Fichier principal
Vignette du fichier
collocated_ader_chimera.pdf (939.76 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04705778 , version 1 (23-09-2024)

Licence

Identifiants

  • HAL Id : hal-04705778 , version 1

Citer

Michel Bergmann, Michele Giuliano Carlino, Angelo Iollo. Model order reduction using a collocation scheme on chimera meshes: addressing the Kolmogorov N-width barrier. 2024. ⟨hal-04705778⟩
0 Consultations
0 Téléchargements

Partager

More